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100100102202 = 23217615362697
BaseRepresentation
bin101110100111001101…
…1100101100000111010
3100120101011000001122200
41131032123211200322
53120001111232302
6113552500331030
710142400554442
oct1351633454072
9316334001580
10100100102202
11394a79973a1
12174973a3a76
13959348a909
144bb847b122
15290ce0e81c
hex174e6e583a

100100102202 has 48 divisors (see below), whose sum is σ = 233406067752. Its totient is φ = 30889128960.

The previous prime is 100100102171. The next prime is 100100102203. The reversal of 100100102202 is 202201001001.

It can be written as a sum of positive squares in 4 ways, for example, as 77117845401 + 22982256801 = 277701^2 + 151599^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100100102203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2662683 + ... + 2700014.

Almost surely, 2100100102202 is an apocalyptic number.

100100102202 is an abundant number, since it is smaller than the sum of its proper divisors (133305965550).

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

100100102202 is a wasteful number, since it uses less digits than its factorization.

100100102202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362783 (or 5362780 counting only the distinct ones).

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

Adding to 100100102202 its reverse (202201001001), we get a palindrome (302301103203).

The spelling of 100100102202 in words is "one hundred billion, one hundred million, one hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 3111 6222 9333 18666 5362697 10725394 16088091 32176182 48264273 91165849 96528546 182331698 273497547 327124517 546995094 654249034 820492641 981373551 1640985282 1962747102 2944120653 5561116789 5888241306 11122233578 16683350367 33366700734 50050051101 100100102202