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10332331120332 = 223213191115589689
BaseRepresentation
bin1001011001011010111011…
…1011010001011011001100
31100120202112220212100212200
42112112232323101123030
52323241103231322312
633550335110201500
72114325540302664
oct226265673213314
940522486770780
1010332331120332
113323a0a610581
1211aa584953290
1359c44729c260
1427a1321291a4
1512db7abe80dc
hex965aeed16cc

10332331120332 has 72 divisors (see below), whose sum is σ = 28274162891520. Its totient is φ = 3162533863680.

The previous prime is 10332331120303. The next prime is 10332331120337. The reversal of 10332331120332 is 23302113323301.

10332331120332 is a `hidden beast` number, since 1 + 0 + 3 + 323 + 3 + 1 + 1 + 2 + 0 + 332 = 666.

It is a super-2 number, since 2×103323311203322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10332331120296 and 10332331120305.

It is not an unprimeable number, because it can be changed into a prime (10332331120337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57705457 + ... + 57884232.

Almost surely, 210332331120332 is an apocalyptic number.

10332331120332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10332331120332 is an abundant number, since it is smaller than the sum of its proper divisors (17941831771188).

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

10332331120332 is a wasteful number, since it uses less digits than its factorization.

10332331120332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115589903 (or 115589898 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 10332331120332 its reverse (23302113323301), we get a palindrome (33634444443633).

The spelling of 10332331120332 in words is "ten trillion, three hundred thirty-two billion, three hundred thirty-one million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 191 234 382 468 573 764 1146 1719 2292 2483 3438 4966 6876 7449 9932 14898 22347 29796 44694 89388 115589689 231179378 346769067 462358756 693538134 1040307201 1387076268 1502665957 2080614402 3005331914 4161228804 4507997871 6010663828 9015995742 13523993613 18031991484 22077630599 27047987226 44155261198 54095974452 66232891797 88310522396 132465783594 198698675391 264931567188 287009197787 397397350782 574018395574 794794701564 861027593361 1148036791148 1722055186722 2583082780083 3444110373444 5166165560166 10332331120332