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20313106610130 = 23256611489722921
BaseRepresentation
bin1001001111001100000111…
…00000001111011111010010
32122220220200022210022110200
410213212003200033133102
510130302220243011010
6111111413511240030
74164400501214505
oct447460340173722
978826608708420
1020313106610130
116521816135534
122340996379016
13b44696600749
14503233d5b13c
152535cd004cc0
hex12798380f7d2

20313106610130 has 96 divisors (see below), whose sum is σ = 52899835920048. Its totient is φ = 5408034508800.

The previous prime is 20313106610107. The next prime is 20313106610189. The reversal of 20313106610130 is 3101660131302.

20313106610130 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 3 + 10 + 6 + 610 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16426006515801 + 3887100094329 = 4052901^2 + 1971573^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20313106610094 and 20313106610103.

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, 886211070 + ... + 886233990.

Almost surely, 220313106610130 is an apocalyptic number.

20313106610130 is an abundant number, since it is smaller than the sum of its proper divisors (32586729309918).

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

20313106610130 is a wasteful number, since it uses less digits than its factorization.

20313106610130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38492 (or 38489 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 20313106610130 its reverse (3101660131302), we get a palindrome (23414766741432).

The spelling of 20313106610130 in words is "twenty trillion, three hundred thirteen billion, one hundred six million, six hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 661 1322 1983 3305 3966 5949 6610 9915 11898 14897 19830 22921 29745 29794 44691 45842 59490 68763 74485 89382 114605 134073 137526 148970 206289 223455 229210 268146 343815 412578 446910 670365 687630 1031445 1340730 2062890 9846917 15150781 19693834 29540751 30301562 45452343 49234585 59081502 75753905 88622253 90904686 98469170 136357029 147703755 151507810 177244506 227261715 272714058 295407510 341454137 443111265 454523430 681785145 682908274 886222530 1024362411 1363570290 1707270685 2048724822 3073087233 3414541370 5121812055 6146174466 10243624110 15365436165 30730872330 225701184557 451402369114 677103553671 1128505922785 1354207107342 2031310661013 2257011845570 3385517768355 4062621322026 6771035536710 10156553305065 20313106610130