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20013113101020 = 22351326013283993
BaseRepresentation
bin1001000110011101010100…
…11111110100101011011100
32121212020100021002001112220
410203032222133310223130
510110343323423213040
6110321521445225340
74133620412365044
oct443165237645334
977766307061486
1020013113101020
116416571671a06
1222b2813102250
13b222c7c35400
144d28d5a28724
1524a8c11c92d0
hex1233aa7f4adc

20013113101020 has 144 divisors (see below), whose sum is σ = 60779793144672. Its totient is φ = 4918106419200.

The previous prime is 20013113100913. The next prime is 20013113101027. The reversal of 20013113101020 is 2010131131002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013113101027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4452144 + ... + 7736136.

It is an arithmetic number, because the mean of its divisors is an integer number (422081896838).

Almost surely, 220013113101020 is an apocalyptic number.

20013113101020 is a gapful number since it is divisible by the number (20) 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 20013113101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30389896572336).

20013113101020 is an abundant number, since it is smaller than the sum of its proper divisors (40766680043652).

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

20013113101020 is a wasteful number, since it uses less digits than its factorization.

20013113101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284632 (or 3284617 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 20013113101020 its reverse (2010131131002), we get a palindrome (22023244232022).

The spelling of 20013113101020 in words is "twenty trillion, thirteen billion, one hundred thirteen million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 601 676 780 845 1014 1202 1690 1803 2028 2404 2535 3005 3380 3606 5070 6010 7212 7813 9015 10140 12020 15626 18030 23439 31252 36060 39065 46878 78130 93756 101569 117195 156260 203138 234390 304707 406276 468780 507845 609414 1015690 1218828 1523535 2031380 3047070 3283993 6094140 6567986 9851979 13135972 16419965 19703958 32839930 39407916 42691909 49259895 65679860 85383818 98519790 128075727 170767636 197039580 213459545 256151454 426919090 512302908 554994817 640378635 853838180 1109989634 1280757270 1664984451 1973679793 2219979268 2561514540 2774974085 3329968902 3947359586 5549948170 5921039379 6659937804 7894719172 8324922255 9868398965 11099896340 11842078758 16649844510 19736797930 23684157516 25657837309 29605196895 33299689020 39473595860 51315674618 59210393790 76973511927 102631349236 118420787580 128289186545 153947023854 256578373090 307894047708 333551885017 384867559635 513156746180 667103770034 769735119270 1000655655051 1334207540068 1539470238540 1667759425085 2001311310102 3335518850170 4002622620204 5003278275255 6671037700340 10006556550510 20013113101020