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100444010022 = 232173160920047
BaseRepresentation
bin101110110001011101…
…1011111011000100110
3100121021010010101111100
41131202323133120212
53121202131310042
6114050543420530
710154044666236
oct1354273373046
9317233111440
10100444010022
1139664030434
12175725b4746
1396197bcb75
144c0bdddcc6
15292d1e324c
hex1762edf626

100444010022 has 48 divisors (see below), whose sum is σ = 219033622080. Its totient is φ = 33265454976.

The previous prime is 100444009961. The next prime is 100444010113. The reversal of 100444010022 is 220010444001.

100444010022 is a `hidden beast` number, since 100 + 4 + 440 + 100 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100444009977 and 100444010004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5000403 + ... + 5020449.

It is an arithmetic number, because the mean of its divisors is an integer number (4563200460).

Almost surely, 2100444010022 is an apocalyptic number.

100444010022 is an abundant number, since it is smaller than the sum of its proper divisors (118589612058).

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

100444010022 is a wasteful number, since it uses less digits than its factorization.

100444010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21837 (or 21834 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100444010022 its reverse (220010444001), we get a palindrome (320454454023).

The spelling of 100444010022 in words is "one hundred billion, four hundred forty-four million, ten thousand, twenty-two".

Divisors: 1 2 3 6 9 18 173 346 519 1038 1557 1609 3114 3218 4827 9654 14481 20047 28962 40094 60141 120282 180423 278357 360846 556714 835071 1670142 2505213 3468131 5010426 6936262 10404393 20808786 31213179 32255623 62426358 64511246 96766869 193533738 290300607 580601214 5580222779 11160445558 16740668337 33481336674 50222005011 100444010022