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21130431400 = 2352138127089
BaseRepresentation
bin10011101011011110…
…001100101110101000
32000112121122010121101
4103223132030232220
5321233342301100
613412430251144
71345426463161
oct235336145650
960477563541
1021130431400
118a63639951
124118656ab4
131cb9951a60
1410464a6768
1583a11386a
hex4eb78cba8

21130431400 has 48 divisors (see below), whose sum is σ = 52907355900. Its totient is φ = 7802004480.

The previous prime is 21130431397. The next prime is 21130431419. The reversal of 21130431400 is 413403112.

It can be written as a sum of positive squares in 6 ways, for example, as 3067608996 + 18062822404 = 55386^2 + 134398^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4060945 + ... + 4066144.

Almost surely, 221130431400 is an apocalyptic number.

21130431400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21130431400 is an abundant number, since it is smaller than the sum of its proper divisors (31776924500).

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

21130431400 is a wasteful number, since it uses less digits than its factorization.

21130431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8127118 (or 8127109 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 21130431400 its reverse (413403112), we get a palindrome (21543834512).

The spelling of 21130431400 in words is "twenty-one billion, one hundred thirty million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 8127089 16254178 32508356 40635445 65016712 81270890 105652157 162541780 203177225 211304314 325083560 406354450 422608628 528260785 812708900 845217256 1056521570 1625417800 2113043140 2641303925 4226086280 5282607850 10565215700 21130431400