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104122313532 = 223217316718419
BaseRepresentation
bin110000011111000101…
…1000110101100111100
3100221202110111120022200
41200332023012230330
53201220303013112
6115455542311500
710344151030206
oct1407613065474
9327673446280
10104122313532
1140181371296
121821a428590
139a84888113
14507a733776
152a960c0cdc
hex183e2c6b3c

104122313532 has 36 divisors (see below), whose sum is σ = 264719462280. Its totient is φ = 34506814752.

The previous prime is 104122313501. The next prime is 104122313563. The reversal of 104122313532 is 235313221401.

104122313532 is a `hidden beast` number, since 1 + 0 + 4 + 122 + 3 + 1 + 3 + 532 = 666.

104122313532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (104122313501) and next prime (104122313563).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1041223135322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104122313496 and 104122313505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8352982 + ... + 8365437.

Almost surely, 2104122313532 is an apocalyptic number.

104122313532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104122313532 is an abundant number, since it is smaller than the sum of its proper divisors (160597148748).

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

104122313532 is a wasteful number, since it uses less digits than its factorization.

104122313532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16718602 (or 16718597 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 104122313532 its reverse (235313221401), we get a palindrome (339435534933).

The spelling of 104122313532 in words is "one hundred four billion, one hundred twenty-two million, three hundred thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 16718419 33436838 50155257 66873676 100310514 150465771 200621028 300931542 601863084 2892286487 5784572974 8676859461 11569145948 17353718922 26030578383 34707437844 52061156766 104122313532