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1313001112332 = 2237213237468211
BaseRepresentation
bin10011000110110100111…
…101110000001100001100
311122112002022020101112010
4103012310331300030030
5133003011241043312
62443103454341220
7163601251211100
oct23066475601414
94575068211463
101313001112332
11466927997328
121925754ba810
1396a7a798510
144779a123900
152424a4e693c
hex131b4f7030c

1313001112332 has 144 divisors (see below), whose sum is σ = 4004873494272. Its totient is φ = 331230049920.

The previous prime is 1313001112301. The next prime is 1313001112351. The reversal of 1313001112332 is 2332111003131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1313001112299 and 1313001112308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3558294 + ... + 3909917.

It is an arithmetic number, because the mean of its divisors is an integer number (27811621488).

Almost surely, 21313001112332 is an apocalyptic number.

1313001112332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313001112332 is an abundant number, since it is smaller than the sum of its proper divisors (2691872381940).

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

1313001112332 is a wasteful number, since it uses less digits than its factorization.

1313001112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7468268 (or 7468259 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1313001112332 its reverse (2332111003131), we get a palindrome (3645112115463).

The spelling of 1313001112332 in words is "one trillion, three hundred thirteen billion, one million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 49 52 69 78 84 91 92 98 138 147 156 161 182 196 273 276 294 299 322 364 483 546 588 598 637 644 897 966 1092 1127 1196 1274 1794 1911 1932 2093 2254 2548 3381 3588 3822 4186 4508 6279 6762 7644 8372 12558 13524 14651 25116 29302 43953 58604 87906 175812 7468211 14936422 22404633 29872844 44809266 52277477 89618532 97086743 104554954 156832431 171768853 194173486 209109908 291260229 313664862 343537706 365942339 388346972 515306559 582520458 627329724 679607201 687075412 731884678 1030613118 1097827017 1165040916 1202381971 1359214402 1463769356 2038821603 2061226236 2195654034 2232995089 2404763942 2718428804 3607145913 4077643206 4391308068 4465990178 4757250407 4809527884 6698985267 7214291826 8155286412 8416673797 8931980356 9514500814 13397970534 14271751221 14428583652 15630965623 16833347594 19029001628 25250021391 26795941068 28543502442 31261931246 33666695188 46892896869 50500042782 57087004884 62523862492 93785793738 101000085564 109416759361 187571587476 218833518722 328250278083 437667037444 656500556166 1313001112332