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10422202100 = 2252831255687
BaseRepresentation
bin10011011010011011…
…00010111011110100
3222220100012201112012
421231031202323310
5132321040431400
64442103543352
7516162153602
oct115515427364
928810181465
1010422202100
114469074772
12202a45ab58
13ca13035bb
1470c266872
1540eea9d35
hex26d362ef4

10422202100 has 36 divisors (see below), whose sum is σ = 22888680864. Its totient is φ = 4118650080.

The previous prime is 10422202079. The next prime is 10422202103. The reversal of 10422202100 is 120222401.

It is a super-3 number, since 3×104222021003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422202103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619544 + ... + 636143.

Almost surely, 210422202100 is an apocalyptic number.

10422202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10422202100 is an abundant number, since it is smaller than the sum of its proper divisors (12466478764).

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

10422202100 is a wasteful number, since it uses less digits than its factorization.

10422202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255784 (or 1255777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10422202100 its reverse (120222401), we get a palindrome (10542424501).

The spelling of 10422202100 in words is "ten billion, four hundred twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 8300 1255687 2511374 5022748 6278435 12556870 25113740 31392175 62784350 104222021 125568700 208444042 416888084 521110105 1042220210 2084440420 2605550525 5211101050 10422202100