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100024244442 = 23319433225149
BaseRepresentation
bin101110100100111101…
…0001101100011011010
3100120011212021002101000
41131021322031203122
53114322201310232
6113541150405430
710140460023003
oct1351172154332
9316155232330
10100024244442
1139469095331
1217475b00876
13958084aa75
144bac3721aa
15290642827c
hex1749e8d8da

100024244442 has 64 divisors (see below), whose sum is σ = 234516240000. Its totient is φ = 31513515264.

The previous prime is 100024244431. The next prime is 100024244447. The reversal of 100024244442 is 244442420001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100024244447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331684 + ... + 556832.

It is an arithmetic number, because the mean of its divisors is an integer number (3664316250).

Almost surely, 2100024244442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100024244442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117258120000).

100024244442 is an abundant number, since it is smaller than the sum of its proper divisors (134491995558).

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

100024244442 is a wasteful number, since it uses less digits than its factorization.

100024244442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225612 (or 225606 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 100024244442 its reverse (244442420001), we get a palindrome (344466664443).

The spelling of 100024244442 in words is "one hundred billion, twenty-four million, two hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 433 513 866 1026 1299 2598 3897 7794 8227 11691 16454 23382 24681 49362 74043 148086 222129 225149 444258 450298 675447 1350894 2026341 4052682 4277831 6079023 8555662 12158046 12833493 25666986 38500479 77000958 97489517 115501437 194979034 231002874 292468551 584937102 877405653 1754811306 1852300823 2632216959 3704601646 5264433918 5556902469 11113804938 16670707407 33341414814 50012122221 100024244442