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231204114433100 = 22524723532965003
BaseRepresentation
bin110100100100011101100111…
…000111001000010001001100
31010022121220020021001210012002
4310210131213013020101030
5220301022011243324400
62135421412011531432
766461642326560614
oct6444354707102114
91108556207053162
10231204114433100
116773a129133a26
1221b20aa6159b78
139c015ba532613
1441144a5b19a44
151bae239d7eed5
hexd247671c844c

231204114433100 has 108 divisors (see below), whose sum is σ = 514067133602904. Its totient is φ = 90257507281920.

The previous prime is 231204114433057. The next prime is 231204114433129. The reversal of 231204114433100 is 1334411402132.

It is a super-2 number, since 2×2312041144331002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76495199 + ... + 79460201.

Almost surely, 2231204114433100 is an apocalyptic number.

231204114433100 is a gapful number since it is divisible by the number (20) 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 231204114433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257033566801452).

231204114433100 is an abundant number, since it is smaller than the sum of its proper divisors (282863019169804).

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

231204114433100 is a wasteful number, since it uses less digits than its factorization.

231204114433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965464 (or 2965410 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 231204114433100 its reverse (1334411402132), we get a palindrome (232538525835232).

The spelling of 231204114433100 in words is "two hundred thirty-one trillion, two hundred four billion, one hundred fourteen million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 353 470 706 940 1175 1412 1765 2209 2350 3530 4418 4700 7060 8825 8836 11045 16591 17650 22090 33182 35300 44180 55225 66364 82955 110450 165910 220900 331820 414775 779777 829550 1559554 1659100 2965003 3119108 3898885 5930006 7797770 11860012 14825015 15595540 19494425 29650030 38988850 59300060 74125075 77977700 139355141 148250150 278710282 296500300 557420564 696775705 1046646059 1393551410 2093292118 2787102820 3483878525 4186584236 5233230295 6549691627 6967757050 10466460590 13099383254 13935514100 20932921180 26166151475 26198766508 32748458135 49192364773 52332302950 65496916270 98384729546 104664605900 130993832540 163742290675 196769459092 245961823865 327484581350 491923647730 654969162700 983847295460 1229809119325 2312041144331 2459618238650 4624082288662 4919236477300 9248164577324 11560205721655 23120411443310 46240822886620 57801028608275 115602057216550 231204114433100