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100062770929 = 11214921932
BaseRepresentation
bin101110100110000110…
…1001011011011110001
3100120021112202102202221
41131030031023123301
53114412032132204
6113545044241041
710141435343062
oct1351415133361
9316245672687
10100062770929
1139488909900
12174869a0181
1395888199c4
144bb3520569
1529099d8654
hex174c34b6f1

100062770929 has 27 divisors (see below), whose sum is σ = 111306169569. Its totient is φ = 89887480320.

The previous prime is 100062770921. The next prime is 100062770947. The reversal of 100062770929 is 929077260001.

The square root of 100062770929 is 316327.

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

It can be written as a sum of positive squares in 4 ways, for example, as 42199430625 + 57863340304 = 205425^2 + 240548^2 .

It is not a de Polignac number, because 100062770929 - 23 = 100062770921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100062770921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 518459857 + ... + 518460049.

Almost surely, 2100062770929 is an apocalyptic number.

100062770929 is the 316327-th square number.

100062770929 is the 158164-th centered octagonal number.

It is an amenable number.

100062770929 is a deficient number, since it is larger than the sum of its proper divisors (11243398640).

100062770929 is an frugal number, since it uses more digits than its factorization.

100062770929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The spelling of 100062770929 in words is "one hundred billion, sixty-two million, seven hundred seventy thousand, nine hundred twenty-nine".

Divisors: 1 11 121 149 193 1639 2123 18029 22201 23353 28757 37249 244211 316327 409739 2686321 3479597 4284793 4507129 5550101 47132723 61051111 518459953 671562221 826965049 9096615539 100062770929