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103313222323020 = 223251079901541777
BaseRepresentation
bin10111011111011001111011…
…111010101100101101001100
3111112210122111002122102210100
4113133121323322230231030
5102020140434403314040
61003421234503411100
730522063650206503
oct2737317372545514
9445718432572710
10103313222323020
112aa119896a4136
12b706965153a90
134585519c48308
141b7255ad2983a
15be26323dcb30
hex5df67beacb4c

103313222323020 has 144 divisors (see below), whose sum is σ = 316344789659808. Its totient is φ = 27289907251200.

The previous prime is 103313222322991. The next prime is 103313222323033. The reversal of 103313222323020 is 20323222313301.

103313222323020 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 322 + 2 + 32 + 302 + 0 = 666.

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, 190422372 + ... + 190964148.

It is an arithmetic number, because the mean of its divisors is an integer number (2196838817082).

Almost surely, 2103313222323020 is an apocalyptic number.

103313222323020 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 103313222323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158172394829904).

103313222323020 is an abundant number, since it is smaller than the sum of its proper divisors (213031567336788).

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

103313222323020 is a wasteful number, since it uses less digits than its factorization.

103313222323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551800 (or 551795 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 103313222323020 its reverse (20323222313301), we get a palindrome (123636444636321).

The spelling of 103313222323020 in words is "one hundred three trillion, three hundred thirteen billion, two hundred twenty-two million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 9901 19260 19802 29703 39604 49505 59406 89109 99010 118812 148515 178218 198020 297030 356436 445545 541777 594060 891090 1059407 1083554 1625331 1782180 2118814 2167108 2708885 3178221 3250662 4237628 4875993 5297035 5417770 6356442 6501324 8126655 9534663 9751986 10594070 10835540 12712884 15891105 16253310 19069326 19503972 21188140 24379965 31782210 32506620 38138652 47673315 48759930 57970139 63564420 95346630 97519860 115940278 173910417 190693260 231880556 289850695 347820834 521731251 579701390 695641668 869552085 1043462502 1159402780 1739104170 2086925004 2608656255 3478208340 5217312510 5364134077 10434625020 10728268154 16092402231 21456536308 26820670385 32184804462 48277206693 53641340770 64369608924 80462011155 96554413386 107282681540 160924022310 193108826772 241386033465 321848044620 482772066930 573962346239 965544133860 1147924692478 1721887038717 2295849384956 2869811731195 3443774077434 5165661116151 5739623462390 6887548154868 8609435193585 10331322232302 11479246924780 17218870387170 20662644464604 25828305580755 34437740774340 51656611161510 103313222323020