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10422314400 = 253524342631
BaseRepresentation
bin10011011010011011…
…11110010110100000
3222220100102102120110
421231031332112200
5132321103030100
64442110211320
7516163132161
oct115515762640
928810372513
1010422314400
114469141083
12202a4b3b40
13ca1342754
1470c295768
1540eecd250
hex26d37e5a0

10422314400 has 72 divisors (see below), whose sum is σ = 33924641184. Its totient is φ = 2779283200.

The previous prime is 10422314387. The next prime is 10422314407. The reversal of 10422314400 is 441322401.

It is not an unprimeable number, because it can be changed into a prime (10422314407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2168916 + ... + 2173715.

It is an arithmetic number, because the mean of its divisors is an integer number (471175572).

Almost surely, 210422314400 is an apocalyptic number.

10422314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10422314400 is an abundant number, since it is smaller than the sum of its proper divisors (23502326784).

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

10422314400 is a wasteful number, since it uses less digits than its factorization.

10422314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342654 (or 4342641 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10422314400 its reverse (441322401), we get a palindrome (10863636801).

The spelling of 10422314400 in words is "ten billion, four hundred twenty-two million, three hundred fourteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 4342631 8685262 13027893 17370524 21713155 26055786 34741048 43426310 52111572 65139465 69482096 86852620 104223144 108565775 130278930 138964192 173705240 208446288 217131550 260557860 325697325 347410480 416892576 434263100 521115720 651394650 694820960 868526200 1042231440 1302789300 1737052400 2084462880 2605578600 3474104800 5211157200 10422314400