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133113133201312 = 25113123352355297
BaseRepresentation
bin11110010001000011010001…
…000001001111011110100000
3122110022111021010100122210001
4132101003101001033132200
5114421411144044420222
61151035155034345344
740016051350254655
oct3621032101173640
9573274233318701
10133113133201312
1139460a65492590
1212b1a272b8b254
13593768c763154
1424c29d2435c2c
15105c8a0edae27
hex7910d104f7a0

133113133201312 has 96 divisors (see below), whose sum is σ = 296379572396544. Its totient is φ = 58302857625600.

The previous prime is 133113133201291. The next prime is 133113133201327. The reversal of 133113133201312 is 213102331311331.

It is a happy number.

It is a super-2 number, since 2×1331131332013122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23635153 + ... + 28720144.

It is an arithmetic number, because the mean of its divisors is an integer number (3087287212464).

Almost surely, 2133113133201312 is an apocalyptic number.

It is an amenable number.

133113133201312 is an abundant number, since it is smaller than the sum of its proper divisors (163266439195232).

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

133113133201312 is a wasteful number, since it uses less digits than its factorization.

133113133201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52355582 (or 52355574 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 133113133201312 its reverse (213102331311331), we get a palindrome (346215464512643).

The spelling of 133113133201312 in words is "one hundred thirty-three trillion, one hundred thirteen billion, one hundred thirty-three million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 233 248 341 352 466 496 682 932 992 1364 1864 2563 2728 3728 5126 5456 7223 7456 10252 10912 14446 20504 28892 41008 57784 79453 82016 115568 158906 231136 317812 635624 1271248 2542496 52355297 104710594 209421188 418842376 575908267 837684752 1151816534 1623014207 1675369504 2303633068 3246028414 4607266136 6492056828 9214532272 12198784201 12984113656 17853156277 18429064544 24397568402 25968227312 35706312554 48795136804 51936454624 71412625108 97590273608 134186626211 142825250216 195180547216 268373252422 285650500432 378162310231 390361094432 536746504844 571301000864 756324620462 1073493009688 1512649240924 2146986019376 3025298481848 4159785412541 4293972038752 6050596963696 8319570825082 12101193927392 16639141650164 33278283300328 66556566600656 133113133201312