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100421040114 = 233109139122741
BaseRepresentation
bin101110110000110001…
…1110111011111110010
3100121012111220101201000
41131201203313133302
53121130241240424
6114044403222430
710153345520463
oct1354143673762
9317174811630
10100421040114
113965207183a
1217566977a16
139614b099c5
144c08d40d6a
15292b1a73c9
hex17618f77f2

100421040114 has 64 divisors (see below), whose sum is σ = 226827216000. Its totient is φ = 32927705280.

The previous prime is 100421040113. The next prime is 100421040127. The reversal of 100421040114 is 411040124001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100421040113) by changing a digit.

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, 756784 + ... + 879524.

It is an arithmetic number, because the mean of its divisors is an integer number (3544175250).

Almost surely, 2100421040114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100421040114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113413608000).

100421040114 is an abundant number, since it is smaller than the sum of its proper divisors (126406175886).

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

100421040114 is a wasteful number, since it uses less digits than its factorization.

100421040114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123000 (or 122994 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100421040114 its reverse (411040124001), we get a palindrome (511461164115).

The spelling of 100421040114 in words is "one hundred billion, four hundred twenty-one million, forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 109 139 218 278 327 417 654 834 981 1251 1962 2502 2943 3753 5886 7506 15151 30302 45453 90906 122741 136359 245482 272718 368223 409077 736446 818154 1104669 2209338 3314007 6628014 13378769 17060999 26757538 34121998 40136307 51182997 80272614 102365994 120408921 153548991 240817842 307097982 361226763 460646973 722453526 921293946 1859648891 3719297782 5578946673 11157893346 16736840019 33473680038 50210520057 100421040114