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23120211323132 = 227111311953129339
BaseRepresentation
bin1010100000111000101111…
…11110111010100011111100
310000212021022021112201102222
411100130113332322203330
511012300143044320012
6121101140051304512
74604244250455560
oct520342776724374
9100767267481388
1023120211323132
117404254605050
122714a27bab138
13cb92c3a1b171
1459d04a5896a0
152a1622dc4972
hex150717fba8fc

23120211323132 has 96 divisors (see below), whose sum is σ = 50833501931520. Its totient is φ = 8938349784000.

The previous prime is 23120211323087. The next prime is 23120211323149. The reversal of 23120211323132 is 23132311202132.

It is a super-2 number, since 2×231202113231322 (a number of 28 digits) contains 22 as substring.

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, 788022119 + ... + 788051457.

It is an arithmetic number, because the mean of its divisors is an integer number (529515645120).

Almost surely, 223120211323132 is an apocalyptic number.

23120211323132 is a gapful number since it is divisible by the number (22) 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 23120211323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25416750965760).

23120211323132 is an abundant number, since it is smaller than the sum of its proper divisors (27713290608388).

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

23120211323132 is a wasteful number, since it uses less digits than its factorization.

23120211323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49023 (or 49021 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 23120211323132 its reverse (23132311202132), we get a palindrome (46252522525264).

The spelling of 23120211323132 in words is "twenty-three trillion, one hundred twenty billion, two hundred eleven million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 262 308 524 917 1441 1834 2882 3668 5764 10087 19531 20174 29339 39062 40348 58678 78124 117356 136717 205373 214841 273434 322729 410746 429682 546868 645458 821492 859364 1290916 1503887 2259103 2558561 3007774 3843409 4518206 5117122 6015548 7686818 9036412 10234244 15373636 17909927 26903863 28144171 35819854 42277499 53807726 56288342 71639708 84554998 107615452 112576684 169109996 197009197 295942493 394018394 573020009 591884986 788036788 1146040018 1183769972 2292080036 4011140063 6303220099 8022280126 12606440198 16044560252 25212880396 44122540693 75065621179 88245081386 150131242358 176490162772 300262484716 525459348253 825721832969 1050918696506 1651443665938 2101837393012 3302887331876 5780052830783 11560105661566 23120211323132