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12305834028 = 22323111026733
BaseRepresentation
bin10110111010111110…
…00010000000101100
31011202121121010202200
423131133002000230
5200200243142103
65353032421500
7613643602065
oct133537020054
934677533680
1012305834028
115245360274
122475247890
131211625bc7
1484a4ad56c
154c05330a3
hex2dd7c202c

12305834028 has 36 divisors (see below), whose sum is σ = 32109849408. Its totient is φ = 3969623520.

The previous prime is 12305834027. The next prime is 12305834053. The reversal of 12305834028 is 82043850321.

12305834028 is a `hidden beast` number, since 1 + 2 + 30 + 583 + 40 + 2 + 8 = 666.

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

It is a super-2 number, since 2×123058340282 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12305833983 and 12305834001.

It is not an unprimeable number, because it can be changed into a prime (12305834027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5512251 + ... + 5514482.

Almost surely, 212305834028 is an apocalyptic number.

12305834028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12305834028 is an abundant number, since it is smaller than the sum of its proper divisors (19804015380).

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

12305834028 is a wasteful number, since it uses less digits than its factorization.

12305834028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11026774 (or 11026769 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12305834028 in words is "twelve billion, three hundred five million, eight hundred thirty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 11026733 22053466 33080199 44106932 66160398 99240597 132320796 198481194 341828723 396962388 683657446 1025486169 1367314892 2050972338 3076458507 4101944676 6152917014 12305834028