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112113203232100 = 225271677757123637
BaseRepresentation
bin11001011111011101100011…
…101001110011110101100100
3112200221220202220020122211011
4121133131203221303311210
5104143330320011411400
61034240032230552004
732420624455566310
oct3137354351636544
9480856686218734
10112113203232100
11327a4a40491844
12106a8358b08604
134a732ca863425
141d984451a0b40
15ce64c5b238ba
hex65f763a73d64

112113203232100 has 144 divisors (see below), whose sum is σ = 279743979739392. Its totient is φ = 38203405309440.

The previous prime is 112113203232097. The next prime is 112113203232109. The reversal of 112113203232100 is 1232302311211.

It is not an unprimeable number, because it can be changed into a prime (112113203232109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906731482 + ... + 906855118.

It is an arithmetic number, because the mean of its divisors is an integer number (1942666525968).

Almost surely, 2112113203232100 is an apocalyptic number.

112113203232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112113203232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139871989869696).

112113203232100 is an abundant number, since it is smaller than the sum of its proper divisors (167630776507292).

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

112113203232100 is a wasteful number, since it uses less digits than its factorization.

112113203232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131582 (or 131575 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 112113203232100 its reverse (1232302311211), we get a palindrome (113345505543311).

The spelling of 112113203232100 in words is "one hundred twelve trillion, one hundred thirteen billion, two hundred three million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 167 175 334 350 668 700 835 1169 1670 2338 3340 4175 4676 5845 7757 8350 11690 15514 16700 23380 29225 31028 38785 54299 58450 77570 108598 116900 123637 155140 193925 217196 247274 271495 387850 494548 542990 618185 775700 865459 1085980 1236370 1295419 1357475 1730918 2472740 2590838 2714950 3090925 3461836 4327295 5181676 5429900 6181850 6477095 8654590 9067933 12363700 12954190 17309180 18135866 20647379 21636475 25908380 32385475 36271732 41294758 43272950 45339665 64770950 82589516 86545900 90679330 103236895 129541900 144531653 181358660 206473790 226698325 289063306 412947580 453396650 516184475 578126612 722658265 906793300 959052209 1032368950 1445316530 1918104418 2064737900 2890633060 3613291325 3836208836 4795261045 6713365463 7226582650 9590522090 13426730926 14453165300 19181044180 23976305225 26853461852 33566827315 47952610450 67133654630 95905220900 134267309260 160161718903 167834136575 320323437806 335668273150 640646875612 671336546300 800808594515 1121132032321 1601617189030 2242264064642 3203234378060 4004042972575 4484528129284 5605660161605 8008085945150 11211320323210 16016171890300 22422640646420 28028300808025 56056601616050 112113203232100