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103211210112 = 273268779193
BaseRepresentation
bin110000000011111011…
…1100001010110000000
3100212101222002201101120
41200013313201112000
53142334032210422
6115225314232240
710312445545053
oct1400767412600
9325358081346
10103211210112
113a85404585a
1218005285680
13996aba487a
144dd1726a9a
152a410ee45c
hex1807de1580

103211210112 has 32 divisors (see below), whose sum is σ = 274154777880. Its totient is φ = 34403736576.

The previous prime is 103211210083. The next prime is 103211210117. The reversal of 103211210112 is 211012112301.

103211210112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1032112101122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103211210091 and 103211210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103211210117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134389213 + ... + 134389980.

Almost surely, 2103211210112 is an apocalyptic number.

103211210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103211210112 is an abundant number, since it is smaller than the sum of its proper divisors (170943567768).

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

103211210112 is an equidigital number, since it uses as much as digits as its factorization.

103211210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268779210 (or 268779198 counting only the distinct ones).

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

Adding to 103211210112 its reverse (211012112301), we get a palindrome (314223322413).

The spelling of 103211210112 in words is "one hundred three billion, two hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 268779193 537558386 806337579 1075116772 1612675158 2150233544 3225350316 4300467088 6450700632 8600934176 12901401264 17201868352 25802802528 34403736704 51605605056 103211210112