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20877360100 = 2252144492
BaseRepresentation
bin10011011100011000…
…110011101111100100
31222212222102210001021
4103130120303233210
5320224101010400
613331350140524
71336234430032
oct233430635744
958788383037
1020877360100
1189437a8713
124067951744
131c793a541c
141020a2b552
15822cc471a
hex4dc633be4

20877360100 has 27 divisors (see below), whose sum is σ = 45307007067. Its totient is φ = 8350366080.

The previous prime is 20877360083. The next prime is 20877360169. The reversal of 20877360100 is 106377802.

The square root of 20877360100 is 144490.

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 5280347556 + 15597012544 = 72666^2 + 124888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1437676 + ... + 1452124.

Almost surely, 220877360100 is an apocalyptic number.

20877360100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20877360100 is the 144490-th square number.

It is an amenable number.

20877360100 is an abundant number, since it is smaller than the sum of its proper divisors (24429646967).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20877360100 is an frugal number, since it uses more digits than its factorization.

20877360100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28912 (or 14456 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 20877360100 in words is "twenty billion, eight hundred seventy-seven million, three hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 14449 28898 57796 72245 144490 288980 361225 722450 1444900 208773601 417547202 835094404 1043868005 2087736010 4175472020 5219340025 10438680050 20877360100