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100202102200 = 23521223409657
BaseRepresentation
bin101110101010010000…
…0101011110110111000
3100120122020221012100101
41131110200223312320
53120203214232300
6114010542445144
710145046546514
oct1352440536670
9316566835311
10100202102200
113954a524512
12175055937b4
1395ab651845
144bc7c2d144
152916d5bb6a
hex175482bdb8

100202102200 has 48 divisors (see below), whose sum is σ = 233160947280. Its totient is φ = 40047970560.

The previous prime is 100202102183. The next prime is 100202102227. The reversal of 100202102200 is 2201202001.

It is a super-2 number, since 2×1002021022002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 39772 + ... + 449428.

It is an arithmetic number, because the mean of its divisors is an integer number (4857519735).

Almost surely, 2100202102200 is an apocalyptic number.

100202102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202102200 is an abundant number, since it is smaller than the sum of its proper divisors (132958845080).

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

100202102200 is a wasteful number, since it uses less digits than its factorization.

100202102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410896 (or 410887 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100202102200 its reverse (2201202001), we get a palindrome (102403304201).

The spelling of 100202102200 in words is "one hundred billion, two hundred two million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1223 2446 4892 6115 9784 12230 24460 30575 48920 61150 122300 244600 409657 819314 1638628 2048285 3277256 4096570 8193140 10241425 16386280 20482850 40965700 81931400 501010511 1002021022 2004042044 2505052555 4008084088 5010105110 10020210220 12525262775 20040420440 25050525550 50101051100 100202102200