Search a number
-
+
12100111998 = 231317233710723
BaseRepresentation
bin10110100010011100…
…10000111001111110
31011020021111101012020
423101032100321332
5144240112040443
65320403221010
7605565153312
oct132116207176
934207441166
1012100111998
11514a21a267
122418377766
1311aab172b0
1482b03bb42
154ac448583
hex2d1390e7e

12100111998 has 128 divisors (see below), whose sum is σ = 29575590912. Its totient is φ = 3260860416.

The previous prime is 12100111973. The next prime is 12100112027. The reversal of 12100111998 is 89911100121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1123065 + ... + 1133787.

It is an arithmetic number, because the mean of its divisors is an integer number (231059304).

Almost surely, 212100111998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100111998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787795456).

12100111998 is an abundant number, since it is smaller than the sum of its proper divisors (17475478914).

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

12100111998 is a wasteful number, since it uses less digits than its factorization.

12100111998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10818.

The product of its (nonzero) digits is 1296, while the sum is 33.

The spelling of 12100111998 in words is "twelve billion, one hundred million, one hundred eleven thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 13 17 23 26 34 37 39 46 51 69 74 78 102 111 138 221 222 299 391 442 481 598 629 663 782 851 897 962 1173 1258 1326 1443 1702 1794 1887 2346 2553 2886 3774 5083 5106 8177 10166 10723 11063 14467 15249 16354 21446 22126 24531 28934 30498 32169 33189 43401 49062 64338 66378 86802 139399 182291 188071 246629 278798 364582 376142 396751 418197 493258 546873 564213 739887 793502 836394 1093746 1128426 1190253 1479774 2369783 2380506 3206177 4192693 4739566 5157763 6412354 6744767 7109349 8385386 9125273 9618531 10315526 12578079 13489534 14218698 15473289 18250546 19237062 20234301 25156158 27375819 30946578 40468602 54505009 54751638 87681971 109010018 118628549 155129641 163515027 175363942 237257098 263045913 310259282 327030054 355885647 465388923 526091826 711771294 930777846 2016685333 4033370666 6050055999 12100111998