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4022000304102 = 2341119328141617
BaseRepresentation
bin111010100001110001111…
…001100011111111100110
3112020111111010010221120000
4322201301321203333212
51011344024034212402
612315403104522130
7563402626336314
oct72416171437746
915214433127500
104022000304102
1113107a2355780
1254b5a7920346
13232371a25c61
14dc94715d0b4
156e94c648c1c
hex3a871e63fe6

4022000304102 has 160 divisors (see below), whose sum is σ = 9917904341664. Its totient is φ = 1208129126400.

The previous prime is 4022000304079. The next prime is 4022000304107. The reversal of 4022000304102 is 2014030002204.

4022000304102 is a `hidden beast` number, since 4 + 0 + 220 + 0 + 0 + 30 + 410 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022000304107) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96622398 + ... + 96664014.

Almost surely, 24022000304102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022000304102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958952170832).

4022000304102 is an abundant number, since it is smaller than the sum of its proper divisors (5895904037562).

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

4022000304102 is a wasteful number, since it uses less digits than its factorization.

4022000304102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42116 (or 42107 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 4022000304102 its reverse (2014030002204), we get a palindrome (6036030306306).

The spelling of 4022000304102 in words is "four trillion, twenty-two billion, three hundred four thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 193 198 281 297 386 562 579 594 843 891 1158 1686 1737 1782 2123 2529 3091 3474 4246 5058 5211 6182 6369 7587 9273 10422 12738 15174 15633 18546 19107 22761 27819 31266 38214 41617 45522 54233 55638 57321 83234 83457 108466 114642 124851 162699 166914 171963 249702 250371 325398 343926 374553 457787 488097 500742 596563 749106 915574 976194 1123659 1193126 1373361 1464291 1789689 2247318 2746722 2928582 3370977 3579378 4120083 4392873 5369067 6741954 8032081 8240166 8785746 10738134 11694377 12360249 16064162 16107201 23388754 24096243 24720498 32214402 35083131 37080747 48192486 48321603 70166262 72288729 74161494 88352891 96643206 105249393 128638147 144577458 176705782 210498786 216866187 257276294 265058673 315748179 385914441 433732374 530117346 631496358 650598561 771828882 795176019 947244537 1157743323 1301197122 1590352038 1894489074 2257014761 2315486646 2385528057 3473229969 4514029522 4771056114 6771044283 6946459938 7156584171 10419689907 13542088566 14313168342 20313132849 20839379814 24827162371 40626265698 49654324742 60939398547 74481487113 121878797094 148962974226 182818195641 223444461339 365636391282 446888922678 670333384017 1340666768034 2011000152051 4022000304102