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21152513151 = 3371110174369
BaseRepresentation
bin10011101100110010…
…011011110001111111
32000121011012000002000
4103230302123301333
5321310020410101
613414535433343
71346115252360
oct235462336177
960534160060
1021152513151
118a75051230
124123b25853
131cc13b3893
1410493b3b67
1583c026486
hex4ecc9bc7f

21152513151 has 32 divisors (see below), whose sum is σ = 39069580800. Its totient is φ = 10988317440.

The previous prime is 21152513141. The next prime is 21152513153. The reversal of 21152513151 is 15131525112.

It is a happy number.

21152513151 is a `hidden beast` number, since 2 + 1 + 1 + 525 + 131 + 5 + 1 = 666.

It is not a de Polignac number, because 21152513151 - 25 = 21152513119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21152513153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5085106 + ... + 5089263.

It is an arithmetic number, because the mean of its divisors is an integer number (1220924400).

Almost surely, 221152513151 is an apocalyptic number.

21152513151 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21152513151 is a deficient number, since it is larger than the sum of its proper divisors (17917067649).

21152513151 is a wasteful number, since it uses less digits than its factorization.

21152513151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10174396 (or 10174390 counting only the distinct ones).

The product of its digits is 1500, while the sum is 27.

It can be divided in two parts, 211525 and 13151, that added together give a square (224676 = 4742).

The spelling of 21152513151 in words is "twenty-one billion, one hundred fifty-two million, five hundred thirteen thousand, one hundred fifty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 10174369 30523107 71220583 91569321 111918059 213661749 274707963 335754177 640985247 783426413 1007262531 1922955741 2350279239 3021787593 7050837717 21152513151