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21130402131 = 3259200319867
BaseRepresentation
bin10011101011011110…
…000101100101010011
32000112121120122110100
4103223132011211103
5321233340332011
613412425503443
71345426311636
oct235336054523
960477518410
1021130402131
118a63619963
124118641b83
131cb9941637
141046499c1d
1583a109d56
hex4eb785953

21130402131 has 24 divisors (see below), whose sum is σ = 31056068160. Its totient is φ = 13840562736.

The previous prime is 21130402123. The next prime is 21130402133. The reversal of 21130402131 is 13120403112.

21130402131 is a `hidden beast` number, since 2 + 1 + 130 + 402 + 131 = 666.

It is not a de Polignac number, because 21130402131 - 23 = 21130402123 is a prime.

It is a super-2 number, since 2×211304021312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21130402133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1053660 + ... + 1073526.

It is an arithmetic number, because the mean of its divisors is an integer number (1294002840).

Almost surely, 221130402131 is an apocalyptic number.

21130402131 is a deficient number, since it is larger than the sum of its proper divisors (9925666029).

21130402131 is a wasteful number, since it uses less digits than its factorization.

21130402131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21935 (or 21932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21130402131 its reverse (13120403112), we get a palindrome (34250805243).

The spelling of 21130402131 in words is "twenty-one billion, one hundred thirty million, four hundred two thousand, one hundred thirty-one".

Divisors: 1 3 9 59 177 531 2003 6009 18027 19867 59601 118177 178803 354531 1063593 1172153 3516459 10549377 39793601 119380803 358142409 2347822459 7043467377 21130402131