Search a number
-
+
122201423024424 = 233232959129385967
BaseRepresentation
bin11011110010010000111100…
…011010010001000100101000
3121000200100020021120200221020
4123302100330122101010220
5112004122003243240144
61111522320404212440
734511522116145412
oct3362207432210450
9530610207520836
10122201423024424
1135a34372570537
121185755539a120
135325710a608a3
14222681a9c79b2
15e1db15999419
hex6f243c691128

122201423024424 has 128 divisors (see below), whose sum is σ = 335368429056000. Its totient is φ = 36981614345984.

The previous prime is 122201423024419. The next prime is 122201423024501. The reversal of 122201423024424 is 424420324102221.

It is a super-2 number, since 2×1222014230244242 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63748512 + ... + 65637455.

It is an arithmetic number, because the mean of its divisors is an integer number (2620065852000).

Almost surely, 2122201423024424 is an apocalyptic number.

It is an amenable number.

122201423024424 is an abundant number, since it is smaller than the sum of its proper divisors (213167006031576).

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

122201423024424 is a wasteful number, since it uses less digits than its factorization.

122201423024424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129386087 (or 129386083 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 122201423024424 its reverse (424420324102221), we get a palindrome (546621747126645).

The spelling of 122201423024424 in words is "one hundred twenty-two trillion, two hundred one billion, four hundred twenty-three million, twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 59 69 87 92 116 118 138 174 177 184 232 236 276 348 354 472 552 667 696 708 1334 1357 1416 1711 2001 2668 2714 3422 4002 4071 5133 5336 5428 6844 8004 8142 10266 10856 13688 16008 16284 20532 32568 39353 41064 78706 118059 157412 236118 314824 472236 944472 129385967 258771934 388157901 517543868 776315802 1035087736 1552631604 2975877241 3105263208 3752193043 5951754482 7504386086 7633772053 8927631723 11256579129 11903508964 15008772172 15267544106 17855263446 22513158258 22901316159 23807017928 30017544344 30535088212 35710526892 45026316516 45802632318 61070176424 71421053784 86300439989 90052633032 91605264636 172600879978 175576757219 183210529272 221379389537 258901319967 345201759956 351153514438 442758779074 517802639934 526730271657 664138168611 690403519912 702307028876 885517558148 1035605279868 1053460543314 1328276337222 1404614057752 1771035116296 2071210559736 2106921086628 2656552674444 4213842173256 5091725959351 5313105348888 10183451918702 15275177878053 20366903837404 30550355756106 40733807674808 61100711512212 122201423024424