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102021032313312 = 2537151817012371
BaseRepresentation
bin10111001100100110011111…
…011001000000000111100000
3111101020010010011011121010220
4113030212133121000013200
5101333003033233011222
61000551452031123040
730326530200310110
oct2714463731000740
9441203104147126
10102021032313312
112a563971070282
12b538439373480
1344c0707bc7008
141b29bb6b07040
15bbdc03e7db5c
hex5cc99f6401e0

102021032313312 has 48 divisors (see below), whose sum is σ = 306063096941952. Its totient is φ = 29148866375040.

The previous prime is 102021032313307. The next prime is 102021032313349. The reversal of 102021032313312 is 213313230120201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1020210323133123 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75908505514 + ... + 75908506857.

It is an arithmetic number, because the mean of its divisors is an integer number (6376314519624).

Almost surely, 2102021032313312 is an apocalyptic number.

102021032313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102021032313312 is an abundant number, since it is smaller than the sum of its proper divisors (204042064628640).

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

102021032313312 is a wasteful number, since it uses less digits than its factorization.

102021032313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151817012391 (or 151817012383 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102021032313312 its reverse (213313230120201), we get a palindrome (315334262433513).

The spelling of 102021032313312 in words is "one hundred two trillion, twenty-one billion, thirty-two million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 151817012371 303634024742 455451037113 607268049484 910902074226 1062719086597 1214536098968 1821804148452 2125438173194 2429072197936 3188157259791 3643608296904 4250876346388 4858144395872 6376314519582 7287216593808 8501752692776 12752629039164 14574433187616 17003505385552 25505258078328 34007010771104 51010516156656 102021032313312