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10233161334 = 232112312011871
BaseRepresentation
bin10011000011111000…
…11010011001110110
3222102011111110100100
421201330122121312
5131424142130314
64411232054530
7511405302414
oct114174323166
928364443310
1010233161334
114381397630
121b97094446
13c710b5666
146d10d82b4
153ed5b7c09
hex261f1a676

10233161334 has 96 divisors (see below), whose sum is σ = 25273617408. Its totient is φ = 2962080000.

The previous prime is 10233161327. The next prime is 10233161347. The reversal of 10233161334 is 43316133201.

10233161334 is a `hidden beast` number, since 10 + 2 + 3 + 3 + 1 + 613 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10233161298 and 10233161307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5468419 + ... + 5470289.

It is an arithmetic number, because the mean of its divisors is an integer number (263266848).

Almost surely, 210233161334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233161334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12636808704).

10233161334 is an abundant number, since it is smaller than the sum of its proper divisors (15040456074).

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

10233161334 is a wasteful number, since it uses less digits than its factorization.

10233161334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3111 counting only the distinct ones).

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

Adding to 10233161334 its reverse (43316133201), we get a palindrome (53549294535).

The spelling of 10233161334 in words is "ten billion, two hundred thirty-three million, one hundred sixty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1201 1518 1871 2277 2402 3603 3742 4554 5613 7206 10809 11226 13211 16839 20581 21618 26422 27623 33678 39633 41162 43033 55246 61743 79266 82869 86066 118899 123486 129099 165738 185229 237798 248607 258198 303853 370458 387297 473363 497214 607706 774594 911559 946726 1420089 1823118 2247071 2734677 2840178 4260267 4494142 5469354 6741213 8520534 13482426 20223639 24717781 40447278 49435562 51682633 74153343 103365266 148306686 155047899 222460029 310095798 444920058 465143697 568508963 930287394 1137017926 1705526889 3411053778 5116580667 10233161334