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102000131112132 = 223211500699514433
BaseRepresentation
bin10111001100010011000001…
…100101001111110011000100
3111101011010011111212120021200
4113030103001211033303010
5101332132232031042012
61000534114025542500
730325160223112401
oct2714230145176304
9441133144776250
10102000131112132
112a5560159694a0
12b534385644a30
1344bb7568c5056
141b28b92c712a8
15bbd3ce04a3dc
hex5cc4c194fcc4

102000131112132 has 72 divisors (see below), whose sum is σ = 281274197349600. Its totient is φ = 30909008824320.

The previous prime is 102000131112097. The next prime is 102000131112157. The reversal of 102000131112132 is 231211131000201.

102000131112132 is a `hidden beast` number, since 1 + 0 + 200 + 0 + 1 + 311 + 121 + 32 = 666.

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

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, 198019588 + ... + 198534020.

It is an arithmetic number, because the mean of its divisors is an integer number (3906586074300).

Almost surely, 2102000131112132 is an apocalyptic number.

102000131112132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102000131112132 is an abundant number, since it is smaller than the sum of its proper divisors (179274066237468).

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

102000131112132 is a wasteful number, since it uses less digits than its factorization.

102000131112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015153 (or 1015148 counting only the distinct ones).

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

Adding to 102000131112132 its reverse (231211131000201), we get a palindrome (333211262112333).

The spelling of 102000131112132 in words is "one hundred two trillion, one hundred thirty-one million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 500699 514433 1001398 1028866 1502097 1543299 2002796 2057732 3004194 3086598 4506291 4629897 5507689 5658763 6008388 6173196 9012582 9259794 11015378 11317526 16523067 16976289 18025164 18519588 22030756 22635052 33046134 33952578 49569201 50928867 66092268 67905156 99138402 101857734 198276804 203715468 257576088667 515152177334 772728266001 1030304354668 1545456532002 2318184798003 2833336975337 3090913064004 4636369596006 5666673950674 8500010926011 9272739192012 11333347901348 17000021852022 25500032778033 34000043704044 51000065556066 102000131112132