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103258353312 = 2533119511983
BaseRepresentation
bin110000000101010101…
…1010110111010100000
3100212112020210211201000
41200022223112322200
53142433114301222
6115234120512000
710313560343562
oct1401253267240
9325466724630
10103258353312
113a878715184
121801901b600
13997789c85a
144dd7ab9332
152a453129ac
hex180aad6ea0

103258353312 has 48 divisors (see below), whose sum is σ = 301170199680. Its totient is φ = 34419450816.

The previous prime is 103258353293. The next prime is 103258353347. The reversal of 103258353312 is 213353852301.

103258353312 is a `hidden beast` number, since 1 + 0 + 32 + 5 + 83 + 533 + 12 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 59755128 + ... + 59756855.

It is an arithmetic number, because the mean of its divisors is an integer number (6274379160).

Almost surely, 2103258353312 is an apocalyptic number.

103258353312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103258353312 is an abundant number, since it is smaller than the sum of its proper divisors (197911846368).

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

103258353312 is a wasteful number, since it uses less digits than its factorization.

103258353312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119512002 (or 119511988 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 103258353312 in words is "one hundred three billion, two hundred fifty-eight million, three hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 119511983 239023966 358535949 478047932 717071898 956095864 1075607847 1434143796 1912191728 2151215694 2868287592 3226823541 3824383456 4302431388 5736575184 6453647082 8604862776 11473150368 12907294164 17209725552 25814588328 34419451104 51629176656 103258353312