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11331323220132 = 22327197263173777
BaseRepresentation
bin1010010011100100011101…
…1111101101000010100100
31111010021010101202011012200
42210321013133231002210
52441123022221021012
640033312114014500
72246442516115326
oct244710737550244
944107111664180
1011331323220132
1136796506070a3
121330105277430
136427017c2a36
142b2620769616
15149b48c1c3dc
hexa4e477ed0a4

11331323220132 has 144 divisors (see below), whose sum is σ = 29457689893632. Its totient is φ = 3671483719680.

The previous prime is 11331323220131. The next prime is 11331323220143. The reversal of 11331323220132 is 23102232313311.

11331323220132 is a `hidden beast` number, since 1 + 1 + 331 + 3 + 2 + 322 + 0 + 1 + 3 + 2 = 666.

11331323220132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11331323220096 and 11331323220105.

It is not an unprimeable number, because it can be changed into a prime (11331323220131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65119228 + ... + 65293004.

It is an arithmetic number, because the mean of its divisors is an integer number (204567290928).

Almost surely, 211331323220132 is an apocalyptic number.

11331323220132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331323220132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728844946816).

11331323220132 is an abundant number, since it is smaller than the sum of its proper divisors (18126366673500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331323220132 is a wasteful number, since it uses less digits than its factorization.

11331323220132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174218 (or 174213 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11331323220132 its reverse (23102232313311), we get a palindrome (34433555533443).

The spelling of 11331323220132 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-three million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 97 142 194 213 263 284 291 388 426 526 582 639 789 852 873 1052 1164 1278 1578 1746 2367 2556 3156 3492 4734 6887 9468 13774 18673 20661 25511 27548 37346 41322 51022 56019 61983 74692 76533 82644 102044 112038 123966 153066 168057 173777 224076 229599 247932 306132 336114 347554 459198 521331 672228 695108 918396 1042662 1563993 1811281 2085324 3127986 3622562 5433843 6255972 7245124 10867686 12338167 16301529 16856369 21735372 24676334 32603058 33712738 37014501 45703351 49352668 50569107 65206116 67425476 74029002 91406702 101138214 111043503 137110053 148058004 151707321 182813404 202276428 222087006 274220106 303414642 411330159 444174012 548440212 606829284 822660318 1196802199 1645320636 2393604398 3244937921 3590406597 4433225047 4787208796 6489875842 7180813194 8866450094 9734813763 10771219791 12979751684 13299675141 14361626388 17732900188 19469627526 21542439582 26599350282 29204441289 38939255052 39899025423 43084879164 53198700564 58408882578 79798050846 116817765156 159596101692 314758978337 629517956674 944276935011 1259035913348 1888553870022 2832830805033 3777107740044 5665661610066 11331323220132