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30640721130 = 23254334722817
BaseRepresentation
bin11100100010010101…
…000100110011101010
32221002101220220112100
4130202111010303222
51000223011034010
622024240554230
72133206555325
oct344225046352
987071826470
1030640721130
1111aa3985328
125b31622976
132b7404a826
1416a95917bc
15be4edc2c0
hex722544cea

30640721130 has 96 divisors (see below), whose sum is σ = 81757076544. Its totient is φ = 7957490688.

The previous prime is 30640721119. The next prime is 30640721147. The reversal of 30640721130 is 3112704603.

30640721130 is a `hidden beast` number, since 3 + 0 + 640 + 7 + 2 + 1 + 13 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30640721094 and 30640721103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1331482 + ... + 1354298.

It is an arithmetic number, because the mean of its divisors is an integer number (851636214).

Almost surely, 230640721130 is an apocalyptic number.

30640721130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30640721130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40878538272).

30640721130 is an abundant number, since it is smaller than the sum of its proper divisors (51116355414).

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

30640721130 is a wasteful number, since it uses less digits than its factorization.

30640721130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23220 (or 23217 counting only the distinct ones).

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

The spelling of 30640721130 in words is "thirty billion, six hundred forty million, seven hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 347 387 430 645 694 774 1041 1290 1735 1935 2082 3123 3470 3870 5205 6246 10410 14921 15615 22817 29842 31230 44763 45634 68451 74605 89526 114085 134289 136902 149210 205353 223815 228170 268578 342255 410706 447630 671445 684510 981131 1026765 1342890 1962262 2053530 2943393 4905655 5886786 7917499 8830179 9811310 14716965 15834998 17660358 23752497 29433930 39587495 44150895 47504994 71257491 79174990 88301790 118762485 142514982 237524970 340452457 356287455 680904914 712574910 1021357371 1702262285 2042714742 3064072113 3404524570 5106786855 6128144226 10213573710 15320360565 30640721130