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102200011012 = 221119139987383
BaseRepresentation
bin101111100101110011…
…0000110100100000100
3100202210111100111000001
41133023212012210010
53133301200323022
6114541112531044
710245416521531
oct1371346064404
9322714314001
10102200011012
113a385272a20
12179826b0a84
1398395460c8
144d37301d88
1529d2459b27
hex17cb986904

102200011012 has 48 divisors (see below), whose sum is σ = 205527168000. Its totient is φ = 43977612960.

The previous prime is 102200011003. The next prime is 102200011061. The reversal of 102200011012 is 210110002201.

It is a self number, because there is not a number n which added to its sum of digits gives 102200011012.

It is an unprimeable number.

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, 1125873 + ... + 1213255.

It is an arithmetic number, because the mean of its divisors is an integer number (4281816000).

Almost surely, 2102200011012 is an apocalyptic number.

It is an amenable number.

102200011012 is an abundant number, since it is smaller than the sum of its proper divisors (103327156988).

102200011012 is a wasteful number, since it uses less digits than its factorization.

102200011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88816 (or 88814 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102200011012 its reverse (210110002201), we get a palindrome (312310013213).

The spelling of 102200011012 in words is "one hundred two billion, two hundred million, eleven thousand, twelve".

Divisors: 1 2 4 11 19 22 38 44 76 209 418 836 1399 2798 5596 15389 26581 30778 53162 61556 87383 106324 174766 292391 349532 584782 961213 1169564 1660277 1922426 3320554 3844852 6641108 18263047 36526094 73052188 122248817 244497634 488995268 1344736987 2322727523 2689473974 4645455046 5378947948 9290910092 25550002753 51100005506 102200011012