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11331132003120 = 2435471873536323
BaseRepresentation
bin1010010011100011110000…
…0110010001001100110000
31111010020122001221022210010
42210320330012101030300
52441122124243044440
640033241123334520
72246435004601326
oct244707406211460
944106561838703
1011331132003120
113679562682a06
121330071221440
136426a0cc2387
142b26031d1d16
15149b3704a580
hexa4e3c191330

11331132003120 has 160 divisors (see below), whose sum is σ = 35893101837312. Its totient is φ = 2955760644096.

The previous prime is 11331132003049. The next prime is 11331132003277. The reversal of 11331132003120 is 2130023113311.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20859279 + ... + 21395601.

Almost surely, 211331132003120 is an apocalyptic number.

11331132003120 is a gapful number since it is divisible by the number (10) 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 11331132003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17946550918656).

11331132003120 is an abundant number, since it is smaller than the sum of its proper divisors (24561969834192).

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

11331132003120 is a wasteful number, since it uses less digits than its factorization.

11331132003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538259 (or 538253 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11331132003120 its reverse (2130023113311), we get a palindrome (13461155116431).

The spelling of 11331132003120 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1873 1880 2256 2820 3746 3760 5619 5640 7492 9365 11238 11280 14984 18730 22476 28095 29968 37460 44952 56190 74920 88031 89904 112380 149840 176062 224760 264093 352124 440155 449520 528186 536323 704248 880310 1056372 1072646 1320465 1408496 1608969 1760620 2112744 2145292 2640930 2681615 3217938 3521240 4225488 4290584 5281860 5363230 6435876 7042480 8044845 8581168 10563720 10726460 12871752 16089690 21127440 21452920 25207181 25743504 32179380 42905840 50414362 64358760 75621543 100828724 126035905 128717520 151243086 201657448 252071810 302486172 378107715 403314896 504143620 604972344 756215430 1004532979 1008287240 1209944688 1512430860 2009065958 2016574480 3013598937 3024861720 4018131916 5022664895 6027197874 6049723440 8036263832 10045329790 12054395748 15067994685 16072527664 20090659580 24108791496 30135989370 40181319160 47213050013 48217582992 60271978740 80362638320 94426100026 120543957480 141639150039 188852200052 236065250065 241087914960 283278300078 377704400104 472130500130 566556600156 708195750195 755408800208 944261000260 1133113200312 1416391500390 1888522000520 2266226400624 2832783000780 3777044001040 5665566001560 11331132003120