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102222220002 = 23729643130523
BaseRepresentation
bin101111100110011101…
…0110100101011100010
3100202212001010211000020
41133030322310223202
53133322342020002
6114543224534310
710246106351010
oct1371472645342
9322761124006
10102222220002
113a396861961
121798a021396
139841020b16
144d3a2438b0
1529d43952bc
hex17cceb4ae2

102222220002 has 64 divisors (see below), whose sum is σ = 242085473280. Its totient is φ = 28155161664.

The previous prime is 102222219991. The next prime is 102222220013. The reversal of 102222220002 is 200022222201.

It is an interprime number because it is at equal distance from previous prime (102222219991) and next prime (102222220013).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717913 + ... + 848435.

It is an arithmetic number, because the mean of its divisors is an integer number (3782585520).

Almost surely, 2102222220002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121042736640).

102222220002 is an abundant number, since it is smaller than the sum of its proper divisors (139863253278).

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

102222220002 is a wasteful number, since it uses less digits than its factorization.

102222220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131207.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 102222220002 its reverse (200022222201), we get a palindrome (302244442203).

The spelling of 102222220002 in words is "one hundred two billion, two hundred twenty-two million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 643 1218 1286 1929 3858 4501 9002 13503 18647 27006 37294 55941 111882 130523 130529 261046 261058 391569 391587 783138 783174 913661 1827322 2740983 3785167 5481966 7570334 11355501 22711002 26496169 52992338 79488507 83926289 158977014 167852578 251778867 503557734 587484023 1174968046 1762452069 2433862381 3524904138 4867724762 7301587143 14603174286 17037036667 34074073334 51111110001 102222220002