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110231681040 = 243251311776889
BaseRepresentation
bin110011010101001010…
…0011111100000010000
3101112112020100121000100
41212222110133200100
53301223302243130
6122350103252400
710651433554245
oct1465224374020
9345466317010
10110231681040
1142826a01548
121944444a100
13a5194c7390
145499c915cc
152d0260dc60
hex19aa51f810

110231681040 has 120 divisors (see below), whose sum is σ = 398671280280. Its totient is φ = 27133949952.

The previous prime is 110231681011. The next prime is 110231681059. The reversal of 110231681040 is 40186132011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7275407616 + 102956273424 = 85296^2 + 320868^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 110231680995 and 110231681013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5879085 + ... + 5897804.

It is an arithmetic number, because the mean of its divisors is an integer number (3322260669).

Almost surely, 2110231681040 is an apocalyptic number.

110231681040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110231681040 is an abundant number, since it is smaller than the sum of its proper divisors (288439599240).

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

110231681040 is a wasteful number, since it uses less digits than its factorization.

110231681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11776921 (or 11776912 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 110231681040 in words is "one hundred ten billion, two hundred thirty-one million, six hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 11776889 23553778 35330667 47107556 58884445 70661334 94215112 105992001 117768890 141322668 153099557 176653335 188430224 211984002 235537780 282645336 306199114 353306670 423968004 459298671 471075560 529960005 565290672 612398228 706613340 765497785 847936008 918597342 942151120 1059920010 1224796456 1377896013 1413226680 1530995570 1695872016 1837194684 2119840020 2296493355 2449592912 2755792026 2826453360 3061991140 3674389368 4239680040 4592986710 5511584052 6123982280 6889480065 7348778736 8479360080 9185973420 11023168104 12247964560 13778960130 18371946840 22046336208 27557920260 36743893680 55115840520 110231681040