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102022010196 = 223194721145121
BaseRepresentation
bin101111100000011111…
…1000101010101010100
3100202100002102002210020
41133000333011111110
53132420113311241
6114511313425140
710241125530651
oct1370077052524
9322302362706
10102022010196
113a2a3846307
1217932b6b1b0
13980b6c2192
144d1b808c28
1529c19e8b66
hex17c0fc5554

102022010196 has 96 divisors (see below), whose sum is σ = 257130424320. Its totient is φ = 31381862400.

The previous prime is 102022010183. The next prime is 102022010203. The reversal of 102022010196 is 691010220201.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2238516 + ... + 2283636.

It is an arithmetic number, because the mean of its divisors is an integer number (2678441920).

Almost surely, 2102022010196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022010196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128565212160).

102022010196 is an abundant number, since it is smaller than the sum of its proper divisors (155108414124).

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

102022010196 is a wasteful number, since it uses less digits than its factorization.

102022010196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45405 (or 45403 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 102022010196 its reverse (691010220201), we get a palindrome (793032230397).

The spelling of 102022010196 in words is "one hundred two billion, twenty-two million, ten thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 211 228 282 422 564 633 844 893 1266 1786 2532 2679 3572 4009 5358 8018 9917 10716 12027 16036 19834 24054 29751 39668 45121 48108 59502 90242 119004 135363 180484 188423 270726 376846 541452 565269 753692 857299 1130538 1714598 2120687 2261076 2571897 3429196 4241374 5143794 6362061 8482748 9520531 10287588 12724122 19041062 25448244 28561593 38082124 40293053 57123186 80586106 114246372 120879159 161172212 180890089 241758318 361780178 447464957 483516636 542670267 723560356 894929914 1085340534 1342394871 1789859828 2170681068 2684789742 5369579484 8501834183 17003668366 25505502549 34007336732 51011005098 102022010196