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23311313131400 = 2352722907726893
BaseRepresentation
bin1010100110011100101101…
…00010011101011110001000
310001112112120111022102121122
411103032112202131132020
511023413032130201100
6121325022554254412
74624121033154620
oct523162642353610
9101475514272548
1023311313131400
1174782aa5a1088
122745a7b727408
13100132a6b4918
145a83b8997880
152a65aa07c985
hex15339689d788

23311313131400 has 96 divisors (see below), whose sum is σ = 61944278437440. Its totient is φ = 7992090312960.

The previous prime is 23311313131399. The next prime is 23311313131427. The reversal of 23311313131400 is 413131311332.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23311313131400.

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, 31706354 + ... + 32433246.

It is an arithmetic number, because the mean of its divisors is an integer number (645252900390).

Almost surely, 223311313131400 is an apocalyptic number.

23311313131400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23311313131400 is an abundant number, since it is smaller than the sum of its proper divisors (38632965306040).

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

23311313131400 is a wasteful number, since it uses less digits than its factorization.

23311313131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749823 (or 749814 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 23311313131400 its reverse (413131311332), we get a palindrome (23724444442732).

The spelling of 23311313131400 in words is "twenty-three trillion, three hundred eleven billion, three hundred thirteen million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 22907 45814 91628 114535 160349 183256 229070 320698 458140 572675 641396 726893 801745 916280 1145350 1282792 1453786 1603490 2290700 2907572 3206980 3634465 4008725 4581400 5088251 5815144 6413960 7268930 8017450 10176502 14537860 16034900 18172325 20353004 25441255 29075720 32069800 36344650 40706008 50882510 72689300 101765020 127206275 145378600 203530040 254412550 508825100 1017650200 16650937951 33301875902 66603751804 83254689755 116556565657 133207503608 166509379510 233113131314 333018759020 416273448775 466226262628 582782828285 666037518040 832546897550 932452525256 1165565656570 1665093795100 2331131313140 2913914141425 3330187590200 4662262626280 5827828282850 11655656565700 23311313131400