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10100210212 = 225373897333
BaseRepresentation
bin10010110100000010…
…01111101000100100
3222001220022211200201
421122001033220210
5131141123211322
64350122320244
7505202241001
oct113201175044
928056284621
1010100210212
11431333a474
121b5a659084
13c4c6a5861
146bb5aa8a8
153e1aa4d27
hex25a04fa24

10100210212 has 48 divisors (see below), whose sum is σ = 18463198320. Its totient is φ = 4831377408.

The previous prime is 10100210173. The next prime is 10100210213. The reversal of 10100210212 is 21201200101.

It can be written as a sum of positive squares in 8 ways, for example, as 1313772516 + 8786437696 = 36246^2 + 93736^2 .

It is not an unprimeable number, because it can be changed into a prime (10100210213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373698 + ... + 1381030.

It is an arithmetic number, because the mean of its divisors is an integer number (384649965).

Almost surely, 210100210212 is an apocalyptic number.

It is an amenable number.

10100210212 is a deficient number, since it is larger than the sum of its proper divisors (8362988108).

10100210212 is a wasteful number, since it uses less digits than its factorization.

10100210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7552 (or 7550 counting only the distinct ones).

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

Adding to 10100210212 its reverse (21201200101), we get a palindrome (31301410313).

The spelling of 10100210212 in words is "ten billion, one hundred million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 53 73 89 106 146 178 212 292 356 3869 4717 6497 7333 7738 9434 12994 14666 15476 18868 25988 29332 344341 388649 535309 652637 688682 777298 1070618 1305274 1377364 1554596 2141236 2610548 28371377 34589761 47642501 56742754 69179522 95285002 113485508 138359044 190570004 2525052553 5050105106 10100210212