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130033201122 = 2361140120219
BaseRepresentation
bin111100100011010010…
…1010010111111100010
3110102122020102001000000
41321012211102333202
54112301444413442
6135423022440430
712252225654426
oct1710645227742
9412566361000
10130033201122
1150168396680
122124ba33116
13c353a2a876
146417a6cb86
1535b0c20d4c
hex1e46952fe2

130033201122 has 112 divisors (see below), whose sum is σ = 319837857120. Its totient is φ = 39303792000.

The previous prime is 130033201087. The next prime is 130033201147. The reversal of 130033201122 is 221102330031.

130033201122 is a `hidden beast` number, since 1 + 300 + 332 + 0 + 11 + 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 = 130033201095 and 130033201104.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6421129 + ... + 6441347.

Almost surely, 2130033201122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130033201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159918928560).

130033201122 is an abundant number, since it is smaller than the sum of its proper divisors (189804655998).

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

130033201122 is a wasteful number, since it uses less digits than its factorization.

130033201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20651 (or 20636 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130033201122 its reverse (221102330031), we get a palindrome (351135531153).

The spelling of 130033201122 in words is "one hundred thirty billion, thirty-three million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 401 486 594 729 802 891 1203 1458 1782 2406 2673 3609 4411 5346 7218 8019 8822 10827 13233 16038 20219 21654 26466 32481 39699 40438 60657 64962 79398 97443 119097 121314 181971 194886 222409 238194 292329 357291 363942 444818 545913 584658 667227 714582 1071873 1091826 1334454 1637739 2001681 2143746 3215619 3275478 4003362 4913217 6005043 6431238 8107819 9826434 12010086 14739651 16215638 18015129 24323457 29479302 36030258 48646914 54045387 72970371 89186009 108090774 145940742 162136161 178372018 218911113 267558027 324272322 437822226 535116054 656733339 802674081 1313466678 1605348162 1970200017 2408022243 3940400034 4816044486 5910600051 7224066729 11821200102 14448133458 21672200187 43344400374 65016600561 130033201122