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23001331121220 = 22358323092000321
BaseRepresentation
bin1010011101011011010100…
…01010111011110001000100
310000102220110022110202010210
411032231222022323301010
511003323211231334340
6120530355440115420
74562535266434614
oct516555212736104
9100386408422123
1023001331121220
11736889a8578a1
1226b598b305b70
13cab02982701a
145973adc56a44
1529d4b63b6180
hex14eb6a2bbc44

23001331121220 has 96 divisors (see below), whose sum is σ = 65207936787840. Its totient is φ = 6057160990720.

The previous prime is 23001331121117. The next prime is 23001331121231. The reversal of 23001331121220 is 2212113310032.

It is a super-2 number, since 2×230013311212202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10498660 + ... + 12498980.

It is an arithmetic number, because the mean of its divisors is an integer number (679249341540).

Almost surely, 223001331121220 is an apocalyptic number.

23001331121220 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 23001331121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32603968393920).

23001331121220 is an abundant number, since it is smaller than the sum of its proper divisors (42206605666620).

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

23001331121220 is a wasteful number, since it uses less digits than its factorization.

23001331121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002725 (or 2002723 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 23001331121220 its reverse (2212113310032), we get a palindrome (25213444431252).

The spelling of 23001331121220 in words is "twenty-three trillion, one billion, three hundred thirty-one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2309 2490 4618 4980 6927 9236 11545 13854 23090 27708 34635 46180 69270 138540 191647 383294 574941 766588 958235 1149882 1916470 2000321 2299764 2874705 3832940 4000642 5749410 6000963 8001284 10001605 11498820 12001926 20003210 24003852 30004815 40006420 60009630 120019260 166026643 332053286 498079929 664106572 830133215 996159858 1660266430 1992319716 2490399645 3320532860 4618741189 4980799290 9237482378 9961598580 13856223567 18474964756 23093705945 27712447134 46187411890 55424894268 69281117835 92374823780 138562235670 277124471340 383355518687 766711037374 1150066556061 1533422074748 1916777593435 2300133112122 3833555186870 4600266224244 5750332780305 7667110373740 11500665560610 23001331121220