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23121030400 = 285213277897
BaseRepresentation
bin10101100010000111…
…101110110100000000
32012200100022001002021
4111202013232310000
5334322440433100
614342135531224
71445650341616
oct254207566400
965610261067
1023121030400
119895245396
124593229b14
1322461870a0
1411949d56b6
15904c6aa1a
hex5621eed00

23121030400 has 108 divisors (see below), whose sum is σ = 61630551052. Its totient is φ = 8536965120.

The previous prime is 23121030397. The next prime is 23121030433. The reversal of 23121030400 is 403012132.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1537894656 + 21583135744 = 39216^2 + 146912^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55749 + ... + 222148.

Almost surely, 223121030400 is an apocalyptic number.

23121030400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23121030400 is an abundant number, since it is smaller than the sum of its proper divisors (38509520652).

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

23121030400 is a wasteful number, since it uses less digits than its factorization.

23121030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277936 (or 277917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23121030400 its reverse (403012132), we get a palindrome (23524042532).

The spelling of 23121030400 in words is "twenty-three billion, one hundred twenty-one million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 520 640 650 800 832 1040 1280 1300 1600 1664 2080 2600 3200 3328 4160 5200 6400 8320 10400 16640 20800 41600 83200 277897 555794 1111588 1389485 2223176 2778970 3612661 4446352 5557940 6947425 7225322 8892704 11115880 13894850 14450644 17785408 18063305 22231760 27789700 28901288 35570816 36126610 44463520 55579400 57802576 71141632 72253220 88927040 90316525 111158800 115605152 144506440 177854080 180633050 222317600 231210304 289012880 355708160 361266100 444635200 462420608 578025760 722532200 889270400 924841216 1156051520 1445064400 1778540800 2312103040 2890128800 4624206080 5780257600 11560515200 23121030400