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13180201056 = 25321131134207
BaseRepresentation
bin11000100011001100…
…11110100001100000
31021000112212120211200
430101212132201200
5203443112413211
610015505241200
7644421601101
oct142146364140
937015776750
1013180201056
115653975150
12267a033200
131320816249
148d06763a8
15522199b56
hex31199e860

13180201056 has 144 divisors (see below), whose sum is σ = 42207879168. Its totient is φ = 3865132800.

The previous prime is 13180201019. The next prime is 13180201123. The reversal of 13180201056 is 65010208131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31105 + ... + 165311.

It is an arithmetic number, because the mean of its divisors is an integer number (293110272).

Almost surely, 213180201056 is an apocalyptic number.

13180201056 is a gapful number since it is divisible by the number (16) 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 13180201056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21103939584).

13180201056 is an abundant number, since it is smaller than the sum of its proper divisors (29027678112).

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

13180201056 is a wasteful number, since it uses less digits than its factorization.

13180201056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134265 (or 134254 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 13180201056 its reverse (65010208131), we get a palindrome (78190409187).

The spelling of 13180201056 in words is "thirteen billion, one hundred eighty million, two hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2728 2976 3069 3168 4092 4464 5456 6138 8184 8928 10912 12276 16368 24552 32736 49104 98208 134207 268414 402621 536828 805242 1073656 1207863 1476277 1610484 2147312 2415726 2952554 3220968 4160417 4294624 4428831 4831452 5905108 6441936 8320834 8857662 9662904 11810216 12481251 12883872 13286493 16641668 17715324 19325808 23620432 24962502 26572986 33283336 35430648 37443753 38651616 45764587 47240864 49925004 53145972 66566672 70861296 74887506 91529174 99850008 106291944 133133344 137293761 141722592 149775012 183058348 199700016 212583888 274587522 299550024 366116696 399400032 411881283 425167776 549175044 599100048 732233392 823762566 1098350088 1198200096 1464466784 1647525132 2196700176 3295050264 4393400352 6590100528 13180201056