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100121210442 = 232111394218641
BaseRepresentation
bin101110100111110110…
…0000110111001001010
3100120102121201110201100
41131033230012321022
53120022012213232
6113554533002230
710143045150501
oct1351754067112
9316377643640
10100121210442
11395088a4320
12174a2483376
13959796b5b6
144bbb1b3838
15290ebcdc7c
hex174fb06e4a

100121210442 has 96 divisors (see below), whose sum is σ = 238946460480. Its totient is φ = 30046464000.

The previous prime is 100121210417. The next prime is 100121210489. The reversal of 100121210442 is 244012121001.

100121210442 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 212 + 10 + 442 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11582442 + ... + 11591082.

It is an arithmetic number, because the mean of its divisors is an integer number (2489025630).

Almost surely, 2100121210442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121210442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119473230240).

100121210442 is an abundant number, since it is smaller than the sum of its proper divisors (138825250038).

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

100121210442 is a wasteful number, since it uses less digits than its factorization.

100121210442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9220 (or 9217 counting only the distinct ones).

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

Adding to 100121210442 its reverse (244012121001), we get a palindrome (344133331443).

The spelling of 100121210442 in words is "one hundred billion, one hundred twenty-one million, two hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 139 198 278 417 421 834 842 1251 1263 1529 2502 2526 3058 3789 4587 4631 7578 8641 9174 9262 13761 13893 17282 25923 27522 27786 41679 51846 58519 77769 83358 95051 117038 155538 175557 190102 285153 351114 526671 570306 643709 855459 1053342 1201099 1287418 1710918 1931127 2402198 3603297 3637861 3862254 5793381 7206594 7275722 10809891 10913583 11586762 13212089 21619782 21827166 26424178 32740749 39636267 40016471 65481498 79272534 80032942 118908801 120049413 237817602 240098826 360148239 505662679 720296478 1011325358 1516988037 3033976074 4550964111 5562289469 9101928222 11124578938 16686868407 33373736814 50060605221 100121210442