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100200213200 = 2452250500533
BaseRepresentation
bin101110101010001100…
…1011110101011010000
3100120122010101020010102
41131110121132223100
53120202223310300
6114010434151532
710145024521313
oct1352431365320
9316563336112
10100200213200
113954945425a
1217504a225a8
1395ab13caa9
144bc789a97a
152916ad70d5
hex175465ead0

100200213200 has 30 divisors (see below), whose sum is σ = 240731013174. Its totient is φ = 40080085120.

The previous prime is 100200213187. The next prime is 100200213203. The reversal of 100200213200 is 2312002001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7706176 + 100192507024 = 2776^2 + 316532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200213203) 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 5 ways as a sum of consecutive naturals, for example, 125249867 + ... + 125250666.

Almost surely, 2100200213200 is an apocalyptic number.

100200213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200213200 is an abundant number, since it is smaller than the sum of its proper divisors (140530799974).

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

100200213200 is a wasteful number, since it uses less digits than its factorization.

100200213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250500551 (or 250500540 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100200213200 its reverse (2312002001), we get a palindrome (102512215201).

The spelling of 100200213200 in words is "one hundred billion, two hundred million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 250500533 501001066 1002002132 1252502665 2004004264 2505005330 4008008528 5010010660 6262513325 10020021320 12525026650 20040042640 25050053300 50100106600 100200213200