Search a number
-
+
102222011122110 = 23451111472728521
BaseRepresentation
bin10111001111100001101010…
…101010010100000110111110
3111101221022212201020220220000
4113033201222222110012332
5101344301134321401420
61001224051004335130
730350203505065065
oct2717415252240676
9441838781226800
10102222011122110
112a6311253a0a70
12b56b3888444a6
134506656c43999
141b35800bbb1dc
15bc40682ea690
hex5cf86aa941be

102222011122110 has 80 divisors (see below), whose sum is σ = 299851232650992. Its totient is φ = 24781093603200.

The previous prime is 102222011122109. The next prime is 102222011122129. The reversal of 102222011122110 is 11221110222201.

102222011122110 is a `hidden beast` number, since 1 + 0 + 222 + 201 + 11 + 221 + 10 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5736355351 + ... + 5736373170.

Almost surely, 2102222011122110 is an apocalyptic number.

102222011122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102222011122110 is an abundant number, since it is smaller than the sum of its proper divisors (197629221528882).

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

102222011122110 is a wasteful number, since it uses less digits than its factorization.

102222011122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11472728551 (or 11472728542 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102222011122110 its reverse (11221110222201), we get a palindrome (113443121344311).

It can be divided in two parts, 10222201 and 1122110, that added together give a palindrome (11344311).

The spelling of 102222011122110 in words is "one hundred two trillion, two hundred twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 11472728521 22945457042 34418185563 57363642605 68836371126 103254556689 114727285210 126200013731 172090927815 206509113378 252400027462 309763670067 344181855630 378600041193 516272783445 619527340134 631000068655 757200082386 929291010201 1032545566890 1135800123579 1262000137310 1548818350335 1858582020402 1893000205965 2271600247158 3097636700670 3407400370737 3786000411930 4646455051005 5679000617895 6814800741474 9292910102010 10222201112211 11358001235790 17037001853685 20444402224422 34074003707370 51111005561055 102222011122110