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1131223221320 = 2351910311443697
BaseRepresentation
bin10000011101100010001…
…010001000010001001000
311000010212220001202022012
4100131202022020101020
5122013221121040240
62223402103315052
7144504523505213
oct20354212102110
94003786052265
101131223221320
113a6827021335
121632a444ba88
138289b70526a
143ca7416877a
151e65bba0b65
hex10762288448

1131223221320 has 64 divisors (see below), whose sum is σ = 2681813404800. Its totient is φ = 428257981440.

The previous prime is 1131223221313. The next prime is 1131223221341. The reversal of 1131223221320 is 231223221311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61712 + ... + 1505408.

It is an arithmetic number, because the mean of its divisors is an integer number (41903334450).

Almost surely, 21131223221320 is an apocalyptic number.

1131223221320 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 1131223221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340906702400).

1131223221320 is an abundant number, since it is smaller than the sum of its proper divisors (1550590183480).

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

1131223221320 is a wasteful number, since it uses less digits than its factorization.

1131223221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444758 (or 1444754 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1131223221320 its reverse (231223221311), we get a palindrome (1362446442631).

Subtracting from 1131223221320 its reverse (231223221311), we obtain a palindrome (900000000009).

The spelling of 1131223221320 in words is "one trillion, one hundred thirty-one billion, two hundred twenty-three million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1031 2062 4124 5155 8248 10310 19589 20620 39178 41240 78356 97945 156712 195890 391780 783560 1443697 2887394 5774788 7218485 11549576 14436970 27430243 28873940 54860486 57747880 109720972 137151215 219441944 274302430 548604860 1097209720 1488451607 2976903214 5953806428 7442258035 11907612856 14884516070 28280580533 29769032140 56561161066 59538064280 113122322132 141402902665 226244644264 282805805330 565611610660 1131223221320