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21142012400 = 2452311705001
BaseRepresentation
bin10011101100001010…
…011000000111110000
32000120102102111202022
4103230022120013300
5321244323344100
613413522411012
71345630066055
oct235412300760
960512374668
1021142012400
118a6a129923
124120500a68
131cbc178112
141047c3d02c
1583b14ee85
hex4ec2981f0

21142012400 has 60 divisors (see below), whose sum is σ = 52432221504. Its totient is φ = 8184000000.

The previous prime is 21142012363. The next prime is 21142012517. The reversal of 21142012400 is 421024112.

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, 840101 + ... + 864900.

Almost surely, 221142012400 is an apocalyptic number.

21142012400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142012400 is an abundant number, since it is smaller than the sum of its proper divisors (31290209104).

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

21142012400 is a wasteful number, since it uses less digits than its factorization.

21142012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705050 (or 1705039 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21142012400 its reverse (421024112), we get a palindrome (21563036512).

The spelling of 21142012400 in words is "twenty-one billion, one hundred forty-two million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 1705001 3410002 6820004 8525005 13640008 17050010 27280016 34100020 42625025 52855031 68200040 85250050 105710062 136400080 170500100 211420124 264275155 341000200 422840248 528550310 682000400 845680496 1057100620 1321375775 2114201240 2642751550 4228402480 5285503100 10571006200 21142012400