Search a number
-
+
122040223305 = 357111317478111
BaseRepresentation
bin111000110101000101…
…0100000011001001001
3102200000012012200201120
41301222022200121021
53444414244121210
6132021533305453
711550161532210
oct1615212403111
9380005180646
10122040223305
1147836585090
121b79b035289
13b67baa5ab0
145c9a2b2077
153294161270
hex1c6a2a0649

122040223305 has 128 divisors (see below), whose sum is σ = 277595652096. Its totient is φ = 44062617600.

The previous prime is 122040223297. The next prime is 122040223337. The reversal of 122040223305 is 503322040221.

It is not a de Polignac number, because 122040223305 - 23 = 122040223297 is a prime.

It is a super-2 number, since 2×1220402233052 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16200 + ... + 494310.

It is an arithmetic number, because the mean of its divisors is an integer number (2168716032).

Almost surely, 2122040223305 is an apocalyptic number.

122040223305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122040223305 is an abundant number, since it is smaller than the sum of its proper divisors (155555428791).

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

122040223305 is a wasteful number, since it uses less digits than its factorization.

122040223305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478167.

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 122040223305 its reverse (503322040221), we get a palindrome (625362263526).

The spelling of 122040223305 in words is "one hundred twenty-two billion, forty million, two hundred twenty-three thousand, three hundred five".

Divisors: 1 3 5 7 11 13 15 17 21 33 35 39 51 55 65 77 85 91 105 119 143 165 187 195 221 231 255 273 357 385 429 455 561 595 663 715 935 1001 1105 1155 1309 1365 1547 1785 2145 2431 2805 3003 3315 3927 4641 5005 6545 7293 7735 12155 15015 17017 19635 23205 36465 51051 85085 255255 478111 1434333 2390555 3346777 5259221 6215443 7171665 8127887 10040331 15777663 16733885 18646329 24383661 26296105 31077215 36814547 40639435 43508101 50201655 56895209 68369873 78888315 89406757 93231645 105662531 110443641 121918305 130524303 170685627 184072735 205109619 217540505 268220271 284476045 316987593 341849365 447033785 478589111 528312655 552218205 625847299 652621515 739637717 853428135 1025548095 1162287841 1341101355 1435767333 1584937965 1877541897 2218913151 2392945555 3129236495 3486863523 3698188585 5811439205 7178836665 8136014887 9387709485 11094565755 17434317615 24408044661 40680074435 122040223305