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100210247892 = 22325557500921
BaseRepresentation
bin101110101010011111…
…1110000100011010100
3100120122211021001010200
41131110333300203110
53120212310413032
6114011433220500
710145206024056
oct1352477604324
9316584231120
10100210247892
1139554088497
1217508261730
1395b0244391
144bc8d4d8d6
15291791a47c
hex1754ff08d4

100210247892 has 36 divisors (see below), whose sum is σ = 253355327316. Its totient is φ = 33397338240.

The previous prime is 100210247857. The next prime is 100210247941. The reversal of 100210247892 is 298742012001.

It can be written as a sum of positive squares in 2 ways, for example, as 79290675396 + 20919572496 = 281586^2 + 144636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50409 + ... + 450512.

It is an arithmetic number, because the mean of its divisors is an integer number (7037647981).

Almost surely, 2100210247892 is an apocalyptic number.

100210247892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100210247892 is an abundant number, since it is smaller than the sum of its proper divisors (153145079424).

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

100210247892 is a wasteful number, since it uses less digits than its factorization.

100210247892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506488 (or 506483 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 100210247892 its reverse (298742012001), we get a palindrome (398952259893).

The spelling of 100210247892 in words is "one hundred billion, two hundred ten million, two hundred forty-seven thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 5557 11114 16671 22228 33342 50013 66684 100026 200052 500921 1001842 1502763 2003684 3005526 4508289 6011052 9016578 18033156 2783617997 5567235994 8350853991 11134471988 16701707982 25052561973 33403415964 50105123946 100210247892