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10211222100 = 2235267508021
BaseRepresentation
bin10011000001010001…
…01110001001010100
3222100122012211101010
421200220232021110
5131403033101400
64405125532220
7511020645552
oct114050561124
928318184333
1010211222100
11436aa72332
121b8b874070
13c696a3671
146cc226bd2
153eb6d2450
hex260a2e254

10211222100 has 72 divisors (see below), whose sum is σ = 29985490528. Its totient is φ = 2682345600.

The previous prime is 10211222081. The next prime is 10211222111. The reversal of 10211222100 is 122211201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233911 + ... + 274110.

Almost surely, 210211222100 is an apocalyptic number.

10211222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211222100 is an abundant number, since it is smaller than the sum of its proper divisors (19774268428).

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

10211222100 is a wasteful number, since it uses less digits than its factorization.

10211222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508105 (or 508098 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10211222100 its reverse (122211201), we get a palindrome (10333433301).

The spelling of 10211222100 in words is "ten billion, two hundred eleven million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 6700 10050 20100 508021 1016042 1524063 2032084 2540105 3048126 5080210 6096252 7620315 10160420 12700525 15240630 25401050 30481260 34037407 38101575 50802100 68074814 76203150 102112221 136149628 152406300 170187035 204224442 340374070 408448884 510561105 680748140 850935175 1021122210 1701870350 2042244420 2552805525 3403740700 5105611050 10211222100