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10211020100 = 2252191353377
BaseRepresentation
bin10011000001001111…
…11100110101000100
3222100121211120021122
421200213330311010
5131403010120400
64405121333112
7511016144621
oct114047746504
928317746248
1010211020100
11436a944596
121b8b797198
13c69632738
146cc1b3348
153eb692685
hex2609fcd44

10211020100 has 36 divisors (see below), whose sum is σ = 22169911764. Its totient is φ = 4082196480.

The previous prime is 10211020073. The next prime is 10211020103. The reversal of 10211020100 is 102011201.

It can be written as a sum of positive squares in 6 ways, for example, as 1870216516 + 8340803584 = 43246^2 + 91328^2 .

It is not an unprimeable number, because it can be changed into a prime (10211020103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164612 + ... + 217988.

Almost surely, 210211020100 is an apocalyptic number.

10211020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211020100 is an abundant number, since it is smaller than the sum of its proper divisors (11958891664).

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

10211020100 is a wasteful number, since it uses less digits than its factorization.

10211020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55304 (or 55297 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10211020100 its reverse (102011201), we get a palindrome (10313031301).

The spelling of 10211020100 in words is "ten billion, two hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1913 3826 7652 9565 19130 38260 47825 53377 95650 106754 191300 213508 266885 533770 1067540 1334425 2668850 5337700 102110201 204220402 408440804 510551005 1021102010 2042204020 2552755025 5105510050 10211020100