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100146631002 = 231110115023497
BaseRepresentation
bin101110101000100110…
…1000101000101011010
3100120111101112222011120
41131101031011011122
53120100014143002
6114001241510110
710143504214065
oct1352115050532
9316441488146
10100146631002
1139521187150
12174aaaa2336
13959cccc052
144bc070d8dc
152912050cbc
hex175134515a

100146631002 has 32 divisors (see below), whose sum is σ = 220665138624. Its totient is φ = 30046992000.

The previous prime is 100146630977. The next prime is 100146631007. The reversal of 100146631002 is 200136641001.

It is not an unprimeable number, because it can be changed into a prime (100146631007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7505083 + ... + 7518414.

It is an arithmetic number, because the mean of its divisors is an integer number (6895785582).

Almost surely, 2100146631002 is an apocalyptic number.

100146631002 is an abundant number, since it is smaller than the sum of its proper divisors (120518507622).

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

100146631002 is a wasteful number, since it uses less digits than its factorization.

100146631002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15023614.

The product of its (nonzero) digits is 864, while the sum is 24.

Subtracting 100146631002 from its reverse (200136641001), we obtain a palindrome (99990009999).

The spelling of 100146631002 in words is "one hundred billion, one hundred forty-six million, six hundred thirty-one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 6666 15023497 30046994 45070491 90140982 165258467 330516934 495775401 991550802 1517373197 3034746394 4552119591 9104239182 16691105167 33382210334 50073315501 100146631002