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21579316201 = 71220692
BaseRepresentation
bin10100000110001110…
…100011101111101001
32001200220021211210101
4110012032203233221
5323143301104301
613525143345401
71362520106212
oct240616435751
961626254711
1021579316201
119173a63723
124222a52261
13205b94ac71
141089d54409
15864731701
hex5063a3be9

21579316201 has 9 divisors (see below), whose sum is σ = 21898114903. Its totient is φ = 21265099240.

The previous prime is 21579316127. The next prime is 21579316217. The reversal of 21579316201 is 10261397512.

The square root of 21579316201 is 146899.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3381306201 + 18198010000 = 58149^2 + 134900^2 .

It is not a de Polignac number, because 21579316201 - 227 = 21445098473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21579316261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10428795 + ... + 10430863.

Almost surely, 221579316201 is an apocalyptic number.

21579316201 is the 146899-th square number.

21579316201 is the 73450-th centered octagonal number.

It is an amenable number.

21579316201 is a deficient number, since it is larger than the sum of its proper divisors (318798702).

21579316201 is an frugal number, since it uses more digits than its factorization.

21579316201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 21579316201 in words is "twenty-one billion, five hundred seventy-nine million, three hundred sixteen thousand, two hundred one".

Divisors: 1 71 2069 5041 146899 4280761 10429829 303934031 21579316201