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13112121132 = 22331129380591
BaseRepresentation
bin11000011011000101…
…10001011100101100
31020211210202202202000
430031202301130230
5203323200334012
610005034132300
7642634122255
oct141542613454
936753682660
1013112121132
1156194a5750
12265b281090
13130c69a676
148c55d3b2c
1551b1ecddc
hex30d8b172c

13112121132 has 96 divisors (see below), whose sum is σ = 38363673600. Its totient is φ = 3836347200.

The previous prime is 13112121059. The next prime is 13112121151. The reversal of 13112121132 is 23112121131.

It is a super-2 number, since 2×131121211322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155844 + ... + 224747.

It is an arithmetic number, because the mean of its divisors is an integer number (399621600).

Almost surely, 213112121132 is an apocalyptic number.

13112121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13112121132 is an abundant number, since it is smaller than the sum of its proper divisors (25251552468).

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

13112121132 is a wasteful number, since it uses less digits than its factorization.

13112121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380644 (or 380636 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 13112121132 its reverse (23112121131), we get a palindrome (36224242263).

Subtracting 13112121132 from its reverse (23112121131), we obtain a palindrome (9999999999).

The spelling of 13112121132 in words is "thirteen billion, one hundred twelve million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1566 1914 2871 3132 3828 5742 8613 11484 17226 34452 380591 761182 1141773 1522364 2283546 3425319 4186501 4567092 6850638 8373002 10275957 11037139 12559503 13701276 16746004 20551914 22074278 25119006 33111417 37678509 41103828 44148556 50238012 66222834 75357018 99334251 113035527 121408529 132445668 150714036 198668502 226071054 242817058 298002753 364225587 397337004 452142108 485634116 596005506 728451174 1092676761 1192011012 1456902348 2185353522 3278030283 4370707044 6556060566 13112121132