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100041061842 = 2329415906309
BaseRepresentation
bin101110100101011101…
…0010111010111010010
3100120020000220111111200
41131022322113113102
53114341002434332
6113542551052030
710141052665221
oct1351272272722
9316200814450
10100041061842
1139477631507
121747b671016
1395841886a7
144bb06accb8
152907b4b17c
hex174ae975d2

100041061842 has 24 divisors (see below), whose sum is σ = 216986016780. Its totient is φ = 33311577120.

The previous prime is 100041061829. The next prime is 100041061867. The reversal of 100041061842 is 248160140001.

It is a happy number.

100041061842 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 1 + 0 + 618 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98702160561 + 1338901281 = 314169^2 + 36591^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2936217 + ... + 2970092.

Almost surely, 2100041061842 is an apocalyptic number.

100041061842 is an abundant number, since it is smaller than the sum of its proper divisors (116944954938).

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

100041061842 is a wasteful number, since it uses less digits than its factorization.

100041061842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907258 (or 5907255 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 100041061842 in words is "one hundred billion, forty-one million, sixty-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 941 1882 2823 5646 8469 16938 5906309 11812618 17718927 35437854 53156781 106313562 5557836769 11115673538 16673510307 33347020614 50020530921 100041061842