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102200020002 = 235732880659
BaseRepresentation
bin101111100101110011…
…0001000110000100010
3100202210111100221100000
41133023212020300202
53133301201120002
6114541113040430
710245416556663
oct1371346106042
9322714327300
10102200020002
113a385279753
12179826b6116
13983954a222
144d3730536a
1529d245c61c
hex17cb988c22

102200020002 has 48 divisors (see below), whose sum is σ = 232780373280. Its totient is φ = 33599994912.

The previous prime is 102200020001. The next prime is 102200020033. The reversal of 102200020002 is 200020002201.

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

102200020002 is a modest number, since divided by 20002 gives 1022 as remainder.

It is not an unprimeable number, because it can be changed into a prime (102200020001) 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 23 ways as a sum of consecutive naturals, for example, 1404852 + ... + 1475807.

It is an arithmetic number, because the mean of its divisors is an integer number (4849591110).

Almost surely, 2102200020002 is an apocalyptic number.

102200020002 is an abundant number, since it is smaller than the sum of its proper divisors (130580353278).

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

102200020002 is an equidigital number, since it uses as much as digits as its factorization.

102200020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880749 (or 2880737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 102200020002 its reverse (200020002201), we get a palindrome (302220022203).

The spelling of 102200020002 in words is "one hundred two billion, two hundred million, twenty thousand, two".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 1314 1971 3942 5913 11826 17739 35478 2880659 5761318 8641977 17283954 25925931 51851862 77777793 155555586 210288107 233333379 420576214 466666758 630864321 700000137 1261728642 1400000274 1892592963 3785185926 5677778889 11355557778 17033336667 34066673334 51100010001 102200020002