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100210220994 = 231317312437849
BaseRepresentation
bin101110101010011111…
…1101001111111000010
3100120122211012200020110
41131110333221333002
53120212304032434
6114011432452150
710145205552462
oct1352477517702
9316584180213
10100210220994
113955406a264
121750824a056
1395b0235070
144bc8d43ba2
1529179124e9
hex1754fe9fc2

100210220994 has 64 divisors (see below), whose sum is σ = 235905868800. Its totient is φ = 28084008960.

The previous prime is 100210220933. The next prime is 100210221019. The reversal of 100210220994 is 499022012001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177819 + ... + 1260030.

It is an arithmetic number, because the mean of its divisors is an integer number (3686029200).

Almost surely, 2100210220994 is an apocalyptic number.

100210220994 is an abundant number, since it is smaller than the sum of its proper divisors (135695647806).

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

100210220994 is a wasteful number, since it uses less digits than its factorization.

100210220994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437915.

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 100210220994 its reverse (499022012001), we get a palindrome (599232232995).

The spelling of 100210220994 in words is "one hundred billion, two hundred ten million, two hundred twenty thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 186 221 403 442 527 663 806 1054 1209 1326 1581 2418 3162 6851 13702 20553 41106 2437849 4875698 7313547 14627094 31692037 41443433 63384074 75573319 82886866 95076111 124330299 151146638 190152222 226719957 248660598 453439914 538764629 982453147 1077529258 1284746423 1616293887 1964906294 2569492846 2947359441 3232587774 3854239269 5894718882 7708478538 16701703499 33403406998 50105110497 100210220994