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100520438211 = 3331831446941
BaseRepresentation
bin101110110011101111…
…1000010100111000011
3100121110102221100021000
41131213133002213003
53121331213010321
6114102313503043
710155663425034
oct1354737024703
9317412840230
10100520438211
11396a3192026
1217594111a83
13962c59c54b
144c18216a8b
152934c8d826
hex17677c29c3

100520438211 has 32 divisors (see below), whose sum is σ = 155575203840. Its totient is φ = 64070503200.

The previous prime is 100520438209. The next prime is 100520438309. The reversal of 100520438211 is 112834025001.

100520438211 is a `hidden beast` number, since 10 + 0 + 5 + 2 + 0 + 438 + 211 = 666.

It is not a de Polignac number, because 100520438211 - 21 = 100520438209 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100520438911) 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, 654000 + ... + 792941.

It is an arithmetic number, because the mean of its divisors is an integer number (4861725120).

Almost surely, 2100520438211 is an apocalyptic number.

100520438211 is a deficient number, since it is larger than the sum of its proper divisors (55054765629).

100520438211 is a wasteful number, since it uses less digits than its factorization.

100520438211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447064 (or 1447058 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 100520438211 in words is "one hundred billion, five hundred twenty million, four hundred thirty-eight thousand, two hundred eleven".

Divisors: 1 3 9 27 31 83 93 249 279 747 837 2241 2573 7719 23157 69471 1446941 4340823 13022469 39067407 44855171 120096103 134565513 360288309 403696539 1080864927 1211089617 3242594781 3722979193 11168937579 33506812737 100520438211