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102201033102 = 2374780963997
BaseRepresentation
bin101111100101110101…
…0000000000110001110
3100202210120021102001020
41133023222000012032
53133301431024402
6114541150455010
710245431306430
oct1371352000616
9322716242036
10102201033102
113a385900923
1217982b04466
1398398133ac
144d374ca650
1529d25ac8bc
hex17cba8018e

102201033102 has 64 divisors (see below), whose sum is σ = 238871255040. Its totient is φ = 28543239936.

The previous prime is 102201033091. The next prime is 102201033119. The reversal of 102201033102 is 201330102201.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1564968 + ... + 1628964.

It is an arithmetic number, because the mean of its divisors is an integer number (3732363360).

Almost surely, 2102201033102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102201033102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119435627520).

102201033102 is an abundant number, since it is smaller than the sum of its proper divisors (136670221938).

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

102201033102 is a wasteful number, since it uses less digits than its factorization.

102201033102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64865.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102201033102 its reverse (201330102201), we get a palindrome (303531135303).

The spelling of 102201033102 in words is "one hundred two billion, two hundred one million, thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 809 987 1618 1974 2427 4854 5663 11326 16989 33978 38023 63997 76046 114069 127994 191991 228138 266161 383982 447979 532322 798483 895958 1343937 1596966 2687874 3007859 6015718 9023577 18047154 21055013 42110026 51773573 63165039 103547146 126330078 155320719 310641438 362415011 724830022 1087245033 2174490066 2433357931 4866715862 7300073793 14600147586 17033505517 34067011034 51100516551 102201033102