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10130312414420 = 225111710692533807
BaseRepresentation
bin1001001101101010010110…
…1011000100010011010100
31022212110002220000210110122
42103122211223010103110
52311433334434230140
633313445024211112
72063614404525002
oct223324553042324
938773086023418
1010130312414420
113256272296790
1211773a5169a98
13586390986653
14270449cbda72
151287a5418ab5
hex936a5ac44d4

10130312414420 has 96 divisors (see below), whose sum is σ = 24595775608320. Its totient is φ = 3463814154240.

The previous prime is 10130312414407. The next prime is 10130312414441. The reversal of 10130312414420 is 2441421303101.

It is a super-2 number, since 2×101303124144202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10130312414420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2731157 + ... + 5264963.

It is an arithmetic number, because the mean of its divisors is an integer number (256205995920).

Almost surely, 210130312414420 is an apocalyptic number.

10130312414420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130312414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12297887804160).

10130312414420 is an abundant number, since it is smaller than the sum of its proper divisors (14465463193900).

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

10130312414420 is a wasteful number, since it uses less digits than its factorization.

10130312414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534913 (or 2534911 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10130312414420 its reverse (2441421303101), we get a palindrome (12571733717521).

The spelling of 10130312414420 in words is "ten trillion, one hundred thirty billion, three hundred twelve million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1069 1870 2138 3740 4276 5345 10690 11759 18173 21380 23518 36346 47036 58795 72692 90865 117590 181730 199903 235180 363460 399806 799612 999515 1999030 2533807 3998060 5067614 10135228 12669035 25338070 27871877 43074719 50676140 55743754 86149438 111487508 139359385 172298876 215373595 278718770 430747190 473821909 557437540 861494380 947643818 1895287636 2369109545 2708639683 4738219090 5417279366 9476438180 10834558732 13543198415 27086396830 29795036513 46046874611 54172793660 59590073026 92093749222 119180146052 148975182565 184187498444 230234373055 297950365130 460468746110 506515620721 595900730260 920937492220 1013031241442 2026062482884 2532578103605 5065156207210 10130312414420