Search a number
-
+
12110221202100 = 22352741913763179
BaseRepresentation
bin1011000000111010000101…
…1011101101001010110100
31120212201121010201022101220
42300032201123231022310
53041403213111431400
641431205300550340
72356635366534030
oct260164133551264
946781533638356
1012110221202100
113949a0917936a
1214370606b23b0
1369acb19883b8
142dc1d03031c0
1516003465e7a0
hexb03a16ed2b4

12110221202100 has 144 divisors (see below), whose sum is σ = 40140039206400. Its totient is φ = 2761444033920.

The previous prime is 12110221202077. The next prime is 12110221202141. The reversal of 12110221202100 is 120212201121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12110221202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6001690 + ... + 7761489.

Almost surely, 212110221202100 is an apocalyptic number.

12110221202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110221202100 is an abundant number, since it is smaller than the sum of its proper divisors (28029818004300).

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

12110221202100 is a wasteful number, since it uses less digits than its factorization.

12110221202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13763622 (or 13763615 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12110221202100 its reverse (120212201121), we get a palindrome (12230433403221).

The spelling of 12110221202100 in words is "twelve trillion, one hundred ten billion, two hundred twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 419 420 525 700 838 1050 1257 1676 2095 2100 2514 2933 4190 5028 5866 6285 8380 8799 10475 11732 12570 14665 17598 20950 25140 29330 31425 35196 41900 43995 58660 62850 73325 87990 125700 146650 175980 219975 293300 439950 879900 13763179 27526358 41289537 55052716 68815895 82579074 96342253 137631790 165158148 192684506 206447685 275263580 289026759 344079475 385369012 412895370 481711265 578053518 688158950 825790740 963422530 1032238425 1156107036 1376317900 1445133795 1926845060 2064476850 2408556325 2890267590 4128953700 4817112650 5766772001 5780535180 7225668975 9634225300 11533544002 14451337950 17300316003 23067088004 28833860005 28902675900 34600632006 40367404007 57667720010 69201264012 80734808014 86501580015 115335440020 121102212021 144169300025 161469616028 173003160030 201837020035 242204424042 288338600050 346006320060 403674040070 432507900075 484408848084 576677200100 605511060105 807348080140 865015800150 1009185100175 1211022120210 1730031600300 2018370200350 2422044240420 3027555300525 4036740400700 6055110601050 12110221202100