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231322200003100 = 22526767095146177
BaseRepresentation
bin110100100110001011100101…
…100011110101001000011100
31010100001012000211220021102201
4310212023211203311020130
5220304440331200044400
62135551541315301244
766503322521423503
oct6446134543651034
91110035024807381
10231322200003100
1167785215387498
1221b3b9608aa824
139c0c788c0306b
14411a0a8abd83a
151bb234bc2706a
hexd262e58f521c

231322200003100 has 72 divisors (see below), whose sum is σ = 509537287231280. Its totient is φ = 91134248325120.

The previous prime is 231322200003091. The next prime is 231322200003101. The reversal of 231322200003100 is 1300002223132.

It is a super-2 number, since 2×2313222000031002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231322200003101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42377212 + ... + 47523388.

Almost surely, 2231322200003100 is an apocalyptic number.

231322200003100 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 231322200003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254768643615640).

231322200003100 is an abundant number, since it is smaller than the sum of its proper divisors (278215087228180).

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

231322200003100 is a wasteful number, since it uses less digits than its factorization.

231322200003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152967 (or 5152960 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 231322200003100 its reverse (1300002223132), we get a palindrome (232622202226232).

The spelling of 231322200003100 in words is "two hundred thirty-one trillion, three hundred twenty-two billion, two hundred million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 6700 6709 13418 26836 33545 67090 134180 167725 335450 449503 670900 899006 1798012 2247515 4495030 5146177 8990060 10292354 11237575 20584708 22475150 25730885 44950300 51461770 102923540 128654425 257308850 344793859 514617700 689587718 1379175436 1723969295 3447938590 6895877180 8619846475 17239692950 34479385900 34525701493 69051402986 138102805972 172628507465 345257014930 690514029860 863142537325 1726285074650 2313222000031 3452570149300 4626444000062 9252888000124 11566110000155 23132220000310 46264440000620 57830550000775 115661100001550 231322200003100