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102011000231112 = 23374314121124063
BaseRepresentation
bin10111001100011101001001…
…011011101001010011001000
3111101012011020000001000111220
4113030131021123221103020
5101332322012024343422
61000543112340522040
730326023453105050
oct2714351133512310
9441164200030456
10102011000231112
112a55a693233455
12b5364b96b0320
1344bc799685bbb
141b295045d2560
15bbd818384e5c
hex5cc7496e94c8

102011000231112 has 64 divisors (see below), whose sum is σ = 298238140231680. Its totient is φ = 28468186108992.

The previous prime is 102011000231003. The next prime is 102011000231113. The reversal of 102011000231112 is 211132000110201.

It is a junction number, because it is equal to n+sod(n) for n = 102011000231091 and 102011000231100.

It is not an unprimeable number, because it can be changed into a prime (102011000231113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7060554808 + ... + 7060569255.

It is an arithmetic number, because the mean of its divisors is an integer number (4659970941120).

Almost surely, 2102011000231112 is an apocalyptic number.

102011000231112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011000231112 is an abundant number, since it is smaller than the sum of its proper divisors (196227140000568).

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

102011000231112 is a wasteful number, since it uses less digits than its factorization.

102011000231112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14121124122 (or 14121124118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102011000231112 its reverse (211132000110201), we get a palindrome (313143000341313).

The spelling of 102011000231112 in words is "one hundred two trillion, eleven billion, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 14121124063 28242248126 42363372189 56484496252 84726744378 98847868441 112968992504 169453488756 197695736882 296543605323 338906977512 395391473764 593087210646 607208334709 790782947528 1186174421292 1214416669418 1821625004127 2372348842584 2428833338836 3643250008254 4250458342963 4857666677672 7286500016508 8500916685926 12751375028889 14573000033016 17001833371852 25502750057778 34003666743704 51005500115556 102011000231112