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30406721310 = 2325748264637
BaseRepresentation
bin11100010100011000…
…011011111100011110
32220111002121111010100
4130110120123330132
5444233110040220
621545121321530
72124335603160
oct342430337436
986432544110
1030406721310
111199388a849
125a871962a6
132b3771aab4
14168647c930
15bce6b8d90
hex71461bf1e

30406721310 has 48 divisors (see below), whose sum is σ = 90351402336. Its totient is φ = 6950107584.

The previous prime is 30406721273. The next prime is 30406721311. The reversal of 30406721310 is 1312760403.

30406721310 is a `hidden beast` number, since 30 + 406 + 7 + 213 + 10 = 666.

It is a super-2 number, since 2×304067213102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30406721311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24131689 + ... + 24132948.

It is an arithmetic number, because the mean of its divisors is an integer number (1882320882).

Almost surely, 230406721310 is an apocalyptic number.

30406721310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30406721310 is an abundant number, since it is smaller than the sum of its proper divisors (59944681026).

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

30406721310 is a wasteful number, since it uses less digits than its factorization.

30406721310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48264657 (or 48264654 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 30406721310 in words is "thirty billion, four hundred six million, seven hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 48264637 96529274 144793911 241323185 289587822 337852459 434381733 482646370 675704918 723969555 868763466 1013557377 1447939110 1689262295 2027114754 2171908665 3040672131 3378524590 4343817330 5067786885 6081344262 10135573770 15203360655 30406721310