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23013231220 = 22572193281433
BaseRepresentation
bin10101011011101100…
…100000101001110100
32012101211110021102001
4111123230200221310
5334112341344340
614323325225044
71443201144400
oct253354405164
965354407361
1023013231220
11983a407261
124563102184
132229a426a5
141184574100
158ea57529a
hex55bb20a74

23013231220 has 144 divisors (see below), whose sum is σ = 56841393168. Its totient is φ = 7803371520.

The previous prime is 23013231217. The next prime is 23013231277. The reversal of 23013231220 is 2213231032.

It can be written as a sum of positive squares in 8 ways, for example, as 2537338384 + 20475892836 = 50372^2 + 143094^2 .

It is a super-2 number, since 2×230132312202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53148124 + ... + 53148556.

It is an arithmetic number, because the mean of its divisors is an integer number (394731897).

Almost surely, 223013231220 is an apocalyptic number.

23013231220 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 23013231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28420696584).

23013231220 is an abundant number, since it is smaller than the sum of its proper divisors (33828161948).

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

23013231220 is a wasteful number, since it uses less digits than its factorization.

23013231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 23013231220 its reverse (2213231032), we get a palindrome (25226462252).

The spelling of 23013231220 in words is "twenty-three billion, thirteen million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 193 196 245 281 386 433 490 562 772 866 965 980 1124 1351 1405 1732 1930 1967 2165 2702 2810 3031 3860 3934 4330 5404 5620 6062 6755 7868 8660 9457 9835 12124 13510 13769 15155 18914 19670 21217 27020 27538 30310 37828 39340 42434 47285 54233 55076 60620 68845 83569 84868 94570 106085 108466 121673 137690 167138 189140 212170 216932 243346 271165 275380 334276 379631 417845 424340 486692 542330 584983 608365 759262 835690 851711 1084660 1169966 1216730 1518524 1671380 1703422 1898155 2339932 2433460 2657417 2924915 3406844 3796310 4094881 4258555 5314834 5849830 5961977 7592620 8189762 8517110 10629668 11699660 11923954 13287085 16379524 17034220 20474405 23482889 23847908 26574170 29809885 40948810 46965778 53148340 59619770 81897620 93931556 117414445 119239540 164380223 234828890 328760446 469657780 657520892 821901115 1150661561 1643802230 2301323122 3287604460 4602646244 5753307805 11506615610 23013231220