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13013021112 = 23371319313597
BaseRepresentation
bin11000001111010001…
…01111000110111000
31020120220021222001220
430013220233012320
5203122313133422
65551134112040
7640321566030
oct140750570670
936526258056
1013013021112
115578569403
12263204b620
1312c4cb06c0
148b63988c0
15512674e5c
hex307a2f1b8

13013021112 has 128 divisors (see below), whose sum is σ = 42147571200. Its totient is φ = 3251363328.

The previous prime is 13013021089. The next prime is 13013021113. The reversal of 13013021112 is 21112031031.

It is a happy number.

13013021112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130130211122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13013021091 and 13013021100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013021113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115303 + ... + 198294.

It is an arithmetic number, because the mean of its divisors is an integer number (329277900).

Almost surely, 213013021112 is an apocalyptic number.

13013021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13013021112 is an abundant number, since it is smaller than the sum of its proper divisors (29134550088).

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

13013021112 is a wasteful number, since it uses less digits than its factorization.

13013021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313645 (or 313641 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13013021112 its reverse (21112031031), we get a palindrome (34125052143).

The spelling of 13013021112 in words is "thirteen billion, thirteen million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1482 1596 1729 1976 2184 2964 3192 3458 5187 5928 6916 10374 13832 20748 41496 313597 627194 940791 1254388 1881582 2195179 2508776 3763164 4076761 4390358 5958343 6585537 7526328 8153522 8780716 11916686 12230283 13171074 16307044 17561432 17875029 23833372 24460566 26342148 28537327 32614088 35750058 41708401 47666744 48921132 52684296 57074654 71500116 77458459 83416802 85611981 97842264 114149308 125125203 143000232 154916918 166833604 171223962 228298616 232375377 250250406 309833836 333667208 342447924 464750754 500500812 542209213 619667672 684895848 929501508 1001001624 1084418426 1626627639 1859003016 2168836852 3253255278 4337673704 6506510556 13013021112