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21264035256131 = 294383205447631
BaseRepresentation
bin1001101010110111010110…
…10001001001011101000011
32210021211012011210200011012
410311123223101021131003
510241342221011144011
6113120321332311135
74323163421305523
oct465335321113503
983254164720135
1021264035256131
116859032605908
1224751424724ab
13bb3261342835
14537283129683
1526d1d66b0a8b
hex1356eb449743

21264035256131 has 16 divisors (see below), whose sum is σ = 22780033436160. Its totient is φ = 19811725856160.

The previous prime is 21264035256119. The next prime is 21264035256133. The reversal of 21264035256131 is 13165253046212.

It is a cyclic number.

It is not a de Polignac number, because 21264035256131 - 26 = 21264035256067 is a prime.

It is a super-2 number, since 2×212640352561312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21264035256133) 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 15 ways as a sum of consecutive naturals, for example, 102620315 + ... + 102827316.

It is an arithmetic number, because the mean of its divisors is an integer number (1423752089760).

Almost surely, 221264035256131 is an apocalyptic number.

21264035256131 is a deficient number, since it is larger than the sum of its proper divisors (1515998180029).

21264035256131 is a wasteful number, since it uses less digits than its factorization.

21264035256131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205447786.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 21264035256131 in words is "twenty-one trillion, two hundred sixty-four billion, thirty-five million, two hundred fifty-six thousand, one hundred thirty-one".

Divisors: 1 29 43 83 1247 2407 3569 103501 205447631 5957981299 8834248133 17052153373 256193195857 494512447817 733242595039 21264035256131