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10212210100 = 2252211483991
BaseRepresentation
bin10011000001011000…
…11111010110110100
3222100201002000122201
421200230133112310
5131403311210400
64405203034244
7511032232201
oct114054372664
928321060581
1010212210100
114370587664
121b9006b984
13c6995b291
146cc402ca8
153eb82a06a
hex260b1f5b4

10212210100 has 36 divisors (see below), whose sum is σ = 22265567968. Its totient is φ = 4065516000.

The previous prime is 10212210067. The next prime is 10212210101. The reversal of 10212210100 is 101221201.

10212210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212210101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220896 + ... + 263095.

Almost surely, 210212210100 is an apocalyptic number.

10212210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212210100 is an abundant number, since it is smaller than the sum of its proper divisors (12053357868).

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

10212210100 is a wasteful number, since it uses less digits than its factorization.

10212210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484216 (or 484209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10212210100 its reverse (101221201), we get a palindrome (10313431301).

The spelling of 10212210100 in words is "ten billion, two hundred twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 2110 4220 5275 10550 21100 483991 967982 1935964 2419955 4839910 9679820 12099775 24199550 48399100 102122101 204244202 408488404 510610505 1021221010 2042442020 2553052525 5106105050 10212210100