Search a number
-
+
102000222212112 = 2433760737555349
BaseRepresentation
bin10111001100010011000111…
…000000110001000000010000
3111101011010101212021220222000
4113030103013000301000100
5101332132423341241422
61000534131042314000
730325162410336120
oct2714230700610020
9441133355256860
10102000222212112
112a556062331234
12b5343b0058900
1344bb76c740873
141b28ba0dc6c80
15bbd3d7042cac
hex5cc4c7031010

102000222212112 has 160 divisors (see below), whose sum is σ = 334610015136000. Its totient is φ = 29142388334592.

The previous prime is 102000222212099. The next prime is 102000222212159. The reversal of 102000222212112 is 211212222000201.

It is a happy number.

102000222212112 is a `hidden beast` number, since 10 + 200 + 0 + 22 + 221 + 211 + 2 = 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 31 ways as a sum of consecutive naturals, for example, 183391014 + ... + 183946362.

It is an arithmetic number, because the mean of its divisors is an integer number (2091312594600).

Almost surely, 2102000222212112 is an apocalyptic number.

102000222212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102000222212112 is an abundant number, since it is smaller than the sum of its proper divisors (232609792923888).

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

102000222212112 is a wasteful number, since it uses less digits than its factorization.

102000222212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616110 (or 616098 counting only the distinct ones).

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

Adding to 102000222212112 its reverse (211212222000201), we get a palindrome (313212444212313).

The spelling of 102000222212112 in words is "one hundred two trillion, two hundred twenty-two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 60737 121474 182211 242948 364422 425159 485896 546633 555349 728844 850318 971792 1093266 1110698 1275477 1457688 1639899 1666047 1700636 2186532 2221396 2550954 2915376 3279798 3332094 3401272 3826431 3887443 4373064 4442792 4998141 5101908 6559596 6664188 6802544 7652862 7774886 8746128 8885584 9996282 10203816 11479293 11662329 13119192 13328376 14994423 15305724 15549772 19992564 20407632 22958586 23324658 26238384 26656752 29988846 30611448 31099544 34986987 39985128 45917172 46649316 59977692 61222896 62199088 69973974 79970256 91834344 93298632 104960961 119955384 139947948 183668688 186597264 209921922 239910768 279895896 419843844 559791792 839687688 1679375376 33730232213 67460464426 101190696639 134920928852 202381393278 236111625491 269841857704 303572089917 404762786556 472223250982 539683715408 607144179834 708334876473 809525573112 910716269751 944446501964 1214288359668 1416669752946 1619051146224 1821432539502 1888893003928 2125004629419 2428576719336 2833339505892 3642865079004 3777786007856 4250009258838 4857153438672 5666679011784 6375013888257 7285730158008 8500018517676 11333358023568 12750027776514 14571460316016 17000037035352 25500055553028 34000074070704 51000111106056 102000222212112