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10212322420400 = 2452148431720057
BaseRepresentation
bin1001010010011011110111…
…0110011010011010110000
31100011021210022022202022112
42110212331312122122300
52314304314014423100
633415250503224452
72102546604214232
oct224467566323260
940137708282275
1010212322420400
113288026854031
12118b272148128
13591030359cc9
142743c999a252
1512a9a50c4b35
hex949bdd9a6b0

10212322420400 has 60 divisors (see below), whose sum is σ = 24536771854872. Its totient is φ = 4084651384320.

The previous prime is 10212322420397. The next prime is 10212322420409. The reversal of 10212322420400 is 402422321201.

It is not an unprimeable number, because it can be changed into a prime (10212322420409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5077172 + ... + 6797228.

Almost surely, 210212322420400 is an apocalyptic number.

10212322420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212322420400 is an abundant number, since it is smaller than the sum of its proper divisors (14324449434472).

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

10212322420400 is a wasteful number, since it uses less digits than its factorization.

10212322420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734918 (or 1734907 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10212322420400 its reverse (402422321201), we get a palindrome (10614744741601).

The spelling of 10212322420400 in words is "ten trillion, two hundred twelve billion, three hundred twenty-two million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 14843 29686 59372 74215 118744 148430 237488 296860 371075 593720 742150 1187440 1484300 1720057 2968600 3440114 5937200 6880228 8600285 13760456 17200570 27520912 34401140 43001425 68802280 86002850 137604560 172005700 344011400 688022800 25530806051 51061612102 102123224204 127654030255 204246448408 255308060510 408492896816 510616121020 638270151275 1021232242040 1276540302550 2042464484080 2553080605100 5106161210200 10212322420400