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30406568100 = 22352234406749
BaseRepresentation
bin11100010100010111…
…110110100010100100
32220111002022200221220
4130110113312202210
5444233040134400
621545114140340
72124334364406
oct342427664244
986432280856
1030406568100
1111993795727
125a871216b0
132b3769613c
14168643cb76
15bce6887a0
hex7145f68a4

30406568100 has 72 divisors (see below), whose sum is σ = 91801416000. Its totient is φ = 7755876480.

The previous prime is 30406568083. The next prime is 30406568111. The reversal of 30406568100 is 186560403.

It is a super-2 number, since 2×304065681002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2196475 + ... + 2210274.

Almost surely, 230406568100 is an apocalyptic number.

30406568100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30406568100 is an abundant number, since it is smaller than the sum of its proper divisors (61394847900).

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

30406568100 is a wasteful number, since it uses less digits than its factorization.

30406568100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406789 (or 4406782 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 30406568100 in words is "thirty billion, four hundred six million, five hundred sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 4406749 8813498 13220247 17626996 22033745 26440494 44067490 52880988 66101235 88134980 101355227 110168725 132202470 202710454 220337450 264404940 304065681 330506175 405420908 440674900 506776135 608131362 661012350 1013552270 1216262724 1322024700 1520328405 2027104540 2533880675 3040656810 5067761350 6081313620 7601642025 10135522700 15203284050 30406568100