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23031122120 = 23537113137713
BaseRepresentation
bin10101011100110000…
…110000100011001000
32012110002010020002222
4111130300300203020
5334131431401440
614325204513212
71443506210426
oct253460604310
965402106088
1023031122120
119849516a26
1245690ab808
132230667b16
141186ab0116
158ebe0b2b5
hex55cc308c8

23031122120 has 64 divisors (see below), whose sum is σ = 53691934320. Its totient is φ = 8884076544.

The previous prime is 23031122063. The next prime is 23031122123. The reversal of 23031122120 is 2122113032.

It can be written as a sum of positive squares in 8 ways, for example, as 3775119364 + 19256002756 = 61442^2 + 138766^2 .

It is a super-2 number, since 2×230311221202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23031122123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98384 + ... + 236096.

Almost surely, 223031122120 is an apocalyptic number.

23031122120 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 23031122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26845967160).

23031122120 is an abundant number, since it is smaller than the sum of its proper divisors (30660812200).

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

23031122120 is a wasteful number, since it uses less digits than its factorization.

23031122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137874 (or 137870 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 23031122120 its reverse (2122113032), we get a palindrome (25153235152).

The spelling of 23031122120 in words is "twenty-three billion, thirty-one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 113 148 185 226 296 370 452 565 740 904 1130 1480 2260 4181 4520 8362 16724 20905 33448 41810 83620 137713 167240 275426 550852 688565 1101704 1377130 2754260 5095381 5508520 10190762 15561569 20381524 25476905 31123138 40763048 50953810 62246276 77807845 101907620 124492552 155615690 203815240 311231380 575778053 622462760 1151556106 2303112212 2878890265 4606224424 5757780530 11515561060 23031122120