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30107161620 = 22335103541301
BaseRepresentation
bin11100000010100001…
…101101010000010100
32212201012221021111000
4130002201231100110
5443124413132440
621455300543300
72114040436254
oct340241552024
985635837430
1030107161620
111184a787158
125a029b1b30
132aba645543
141658781964
15bb3245730
hex70286d414

30107161620 has 96 divisors (see below), whose sum is σ = 94576285440. Its totient is φ = 7950614400.

The previous prime is 30107161597. The next prime is 30107161631. The reversal of 30107161620 is 2616170103.

30107161620 is a `hidden beast` number, since 30 + 1 + 0 + 7 + 1 + 6 + 1 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215031 + ... + 326270.

It is an arithmetic number, because the mean of its divisors is an integer number (985169640).

Almost surely, 230107161620 is an apocalyptic number.

30107161620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30107161620 is an abundant number, since it is smaller than the sum of its proper divisors (64469123820).

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

30107161620 is a wasteful number, since it uses less digits than its factorization.

30107161620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541422 (or 541414 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 30107161620 in words is "thirty billion, one hundred seven million, one hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 103 108 135 180 206 270 309 412 515 540 618 927 1030 1236 1545 1854 2060 2781 3090 3708 4635 5562 6180 9270 11124 13905 18540 27810 55620 541301 1082602 1623903 2165204 2706505 3247806 4871709 5413010 6495612 8119515 9743418 10826020 14615127 16239030 19486836 24358545 29230254 32478060 48717090 55754003 58460508 73075635 97434180 111508006 146151270 167262009 223016012 278770015 292302540 334524018 501786027 557540030 669048036 836310045 1003572054 1115080060 1505358081 1672620090 2007144108 2508930135 3010716162 3345240180 5017860270 6021432324 7526790405 10035720540 15053580810 30107161620