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100100200212 = 223210396727917
BaseRepresentation
bin101110100111001101…
…1111101011100010100
3100120101011012001002200
41131032123331130110
53120001122401322
6113552502404500
710142401443255
oct1351633753424
9316334161080
10100100200212
11394a7a53aa1
1217497430730
1395934c33cc
144bb84a4b2c
15290ce2d8ac
hex174e6fd714

100100200212 has 72 divisors (see below), whose sum is σ = 255761041536. Its totient is φ = 33007431744.

The previous prime is 100100200181. The next prime is 100100200253. The reversal of 100100200212 is 212002001001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100100200194 and 100100200203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3571678 + ... + 3599594.

It is an arithmetic number, because the mean of its divisors is an integer number (3552236688).

Almost surely, 2100100200212 is an apocalyptic number.

100100200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100200212 is an abundant number, since it is smaller than the sum of its proper divisors (155660841324).

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

100100200212 is a wasteful number, since it uses less digits than its factorization.

100100200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28997 (or 28992 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100100200212 its reverse (212002001001), we get a palindrome (312102201213).

The spelling of 100100200212 in words is "one hundred billion, one hundred million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 967 1236 1854 1934 2901 3708 3868 5802 8703 11604 17406 27917 34812 55834 83751 99601 111668 167502 199202 251253 298803 335004 398404 502506 597606 896409 1005012 1195212 1792818 2875451 3585636 5750902 8626353 11501804 17252706 25879059 26995739 34505412 51758118 53991478 80987217 103516236 107982956 161974434 242961651 323948868 485923302 971846604 2780561117 5561122234 8341683351 11122244468 16683366702 25025050053 33366733404 50050100106 100100200212