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10100212212 = 2236726214793
BaseRepresentation
bin10010110100000010…
…10000000111110100
3222001220022221102210
421122001100013310
5131141123242322
64350122333420
7505202246556
oct113201200764
928056287383
1010100212212
114313340a22
121b5a65a270
13c4c6a673c
146bb5ab4d6
153e1aa570c
hex25a0501f4

10100212212 has 48 divisors (see below), whose sum is σ = 23933028672. Its totient is φ = 3314530560.

The previous prime is 10100212181. The next prime is 10100212219. The reversal of 10100212212 is 21221200101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100212219) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2104888 + ... + 2109680.

It is an arithmetic number, because the mean of its divisors is an integer number (498604764).

Almost surely, 210100212212 is an apocalyptic number.

10100212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100212212 is an abundant number, since it is smaller than the sum of its proper divisors (13832816460).

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

10100212212 is a wasteful number, since it uses less digits than its factorization.

10100212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488 (or 7486 counting only the distinct ones).

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

Adding to 10100212212 its reverse (21221200101), we get a palindrome (31321412313).

The spelling of 10100212212 in words is "ten billion, one hundred million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 804 2621 4793 5242 7863 9586 10484 14379 15726 19172 28758 31452 57516 175607 321131 351214 526821 642262 702428 963393 1053642 1284524 1926786 2107284 3853572 12562453 25124906 37687359 50249812 75374718 150749436 841684351 1683368702 2525053053 3366737404 5050106106 10100212212