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102022002002 = 25313723413001
BaseRepresentation
bin101111100000011111…
…1000011010101010010
3100202100002101200112202
41133000333003111102
53132420113031002
6114511313323202
710241125465034
oct1370077032522
9322302350482
10102022002002
113a2a3840138
1217932b66502
13980b6bb52b
144d1b805c54
1529c19e6502
hex17c0fc3552

102022002002 has 32 divisors (see below), whose sum is σ = 157177971504. Its totient is φ = 49645440000.

The previous prime is 102022001999. The next prime is 102022002031. The reversal of 102022002002 is 200200220201.

It can be written as a sum of positive squares in 8 ways, for example, as 75894189121 + 26127812881 = 275489^2 + 161641^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33994502 + ... + 33997502.

Almost surely, 2102022002002 is an apocalyptic number.

102022002002 is a deficient number, since it is larger than the sum of its proper divisors (55155969502).

102022002002 is a wasteful number, since it uses less digits than its factorization.

102022002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534.

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 102022002002 its reverse (200200220201), we get a palindrome (302222222203).

The spelling of 102022002002 in words is "one hundred two billion, twenty-two million, two thousand, two".

Divisors: 1 2 53 106 137 274 2341 3001 4682 6002 7261 14522 124073 159053 248146 318106 320717 411137 641434 822274 7025341 14050682 16998001 21790261 33996002 43580522 372343073 744686146 962471717 1924943434 51011001001 102022002002