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113122310021100 = 223252373397066367
BaseRepresentation
bin11001101110001001010111…
…000110101101111111101100
3112211112101110021200220021200
4121232021113012231333230
5104311343442331133400
61040331401035325500
732553550204015512
oct3156112706557754
9484471407626250
10113122310021100
11330539a1a07036
121082ba408b0890
134b1750775bbc3
141dd1212c9a4b2
15d12886b0cb00
hex66e2571adfec

113122310021100 has 108 divisors (see below), whose sum is σ = 364158720516864. Its totient is φ = 29350653402240.

The previous prime is 113122310021099. The next prime is 113122310021107. The reversal of 113122310021100 is 1120013221311.

113122310021100 is a `hidden beast` number, since 1 + 1 + 312 + 231 + 0 + 0 + 21 + 100 = 666.

It is a super-2 number, since 2×1131223100211002 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (113122310021107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1698499884 + ... + 1698566483.

Almost surely, 2113122310021100 is an apocalyptic number.

113122310021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113122310021100 is an abundant number, since it is smaller than the sum of its proper divisors (251036410495764).

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

113122310021100 is a wasteful number, since it uses less digits than its factorization.

113122310021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397066424 (or 3397066414 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113122310021100 its reverse (1120013221311), we get a palindrome (114242323242411).

The spelling of 113122310021100 in words is "one hundred thirteen trillion, one hundred twenty-two billion, three hundred ten million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 3397066367 6794132734 10191199101 13588265468 16985331835 20382398202 30573597303 33970663670 40764796404 50955995505 61147194606 67941327340 84926659175 101911991010 122294389212 125691455579 152867986515 169853318350 203823982020 251382911158 254779977525 305735973030 339706636700 377074366737 502765822316 509559955050 611471946060 628457277895 754148733474 764339932575 1019119910100 1131223100211 1256914555790 1508297466948 1528679865150 1885371833685 2262446200422 2513829111580 3057359730300 3142286389475 3770743667370 4524892400844 5656115501055 6284572778950 7541487334740 9426859168425 11312231002110 12569145557900 18853718336850 22624462004220 28280577505275 37707436673700 56561155010550 113122310021100