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23020120400 = 24522323310739
BaseRepresentation
bin10101011100000110…
…110010100101010000
32012102022102021120212
4111130012302211100
5334121122323100
614324133023252
71443313536434
oct253406624520
965368367525
1023020120400
1198432921a2
124565484b28
13222b2b5324
1411854489c4
158eae86635
hex55c1b2950

23020120400 has 120 divisors (see below), whose sum is σ = 57963522240. Its totient is φ = 8769080320.

The previous prime is 23020120397. The next prime is 23020120411. The reversal of 23020120400 is 402102032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2138231 + ... + 2148969.

It is an arithmetic number, because the mean of its divisors is an integer number (483029352).

Almost surely, 223020120400 is an apocalyptic number.

23020120400 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 23020120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28981761120).

23020120400 is an abundant number, since it is smaller than the sum of its proper divisors (34943401840).

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

23020120400 is a wasteful number, since it uses less digits than its factorization.

23020120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013 (or 11002 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 23020120400 its reverse (402102032), we get a palindrome (23422222432).

The spelling of 23020120400 in words is "twenty-three billion, twenty million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 233 368 400 460 466 575 920 932 1150 1165 1840 1864 2300 2330 3728 4600 4660 5359 5825 9200 9320 10718 10739 11650 18640 21436 21478 23300 26795 42872 42956 46600 53590 53695 85744 85912 93200 107180 107390 133975 171824 214360 214780 246997 267950 268475 428720 429560 493994 535900 536950 859120 987988 1071800 1073900 1234985 1975976 2143600 2147800 2469970 2502187 3951952 4295600 4939940 5004374 6174925 9879880 10008748 12349850 12510935 19759760 20017496 24699700 25021870 40034992 49399400 50043740 57550301 62554675 98798800 100087480 115100602 125109350 200174960 230201204 250218700 287751505 460402408 500437400 575503010 920804816 1000874800 1151006020 1438757525 2302012040 2877515050 4604024080 5755030100 11510060200 23020120400