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13113330122032 = 247896136193467
BaseRepresentation
bin1011111011010010111101…
…1000100011110100110000
31201102121210112010020021121
42332310233120203310300
53204322100002401112
643520103010232024
72522256354631420
oct276645730436460
951377715106247
1013113330122032
1141a6371a98878
12157954b885614
1374177408301a
1433498d5c6480
1517b193cd2407
hexbed2f623d30

13113330122032 has 160 divisors (see below), whose sum is σ = 29466824716800. Its totient is φ = 5537227474944.

The previous prime is 13113330121979. The next prime is 13113330122033. The reversal of 13113330122032 is 23022103331131.

It is a junction number, because it is equal to n+sod(n) for n = 13113330121988 and 13113330122006.

It is not an unprimeable number, because it can be changed into a prime (13113330122033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3782325963 + ... + 3782329429.

It is an arithmetic number, because the mean of its divisors is an integer number (184167654480).

Almost surely, 213113330122032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13113330122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14733412358400).

13113330122032 is an abundant number, since it is smaller than the sum of its proper divisors (16353494594768).

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

13113330122032 is a wasteful number, since it uses less digits than its factorization.

13113330122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4803 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13113330122032 its reverse (23022103331131), we get a palindrome (36135433453163).

The spelling of 13113330122032 in words is "thirteen trillion, one hundred thirteen billion, three hundred thirty million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 356 613 619 623 712 1226 1238 1246 1424 2452 2476 2492 3467 4291 4333 4904 4952 4984 6934 8582 8666 9808 9904 9968 13868 17164 17332 24269 27736 34328 34664 48538 54557 55091 55472 68656 69328 97076 109114 110182 194152 218228 220364 308563 379447 381899 385637 388304 436456 440728 617126 758894 763798 771274 872912 881456 1234252 1517788 1527596 1542548 2125271 2146073 2159941 2468504 2656129 3035576 3055192 3085096 4250542 4292146 4319882 4937008 5312258 6071152 6110384 6170192 8501084 8584292 8639764 10624516 14876897 15022511 17002168 17168584 17279528 21249032 29753794 30045022 33770783 34004336 34337168 34559056 42498064 59507588 60090044 67541566 119015176 120180088 135083132 189149119 191000497 236395481 238030352 240360176 270166264 378298238 382000994 472790962 540332528 756596476 764001988 945581924 1315542749 1324043833 1337003479 1513192952 1528003976 1891163848 2631085498 2648087666 2674006958 3026385904 3056007952 3782327696 5262170996 5296175332 5348013916 9208799243 10524341992 10592350664 10696027832 18417598486 21048683984 21184701328 21392055664 36835196972 73670393944 117083304661 147340787888 234166609322 468333218644 819583132627 936666437288 1639166265254 1873332874576 3278332530508 6556665061016 13113330122032