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231343434100 = 225217791722587
BaseRepresentation
bin1101011101110100100…
…1001010100101110100
3211010010201111010000001
43113131021022211310
512242242404342400
6254135552401044
722466622513232
oct3273511124564
9733121433001
10231343434100
118a126379149
1238a04546184
1318a7ab18b9c
14b2a8b15952
15603eebca6a
hex35dd24a974

231343434100 has 72 divisors (see below), whose sum is σ = 538274298240. Its totient is φ = 85991493120.

The previous prime is 231343434097. The next prime is 231343434107. The reversal of 231343434100 is 1434343132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231343434107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726994 + ... + 995593.

It is an arithmetic number, because the mean of its divisors is an integer number (7476031920).

Almost surely, 2231343434100 is an apocalyptic number.

231343434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231343434100 is an abundant number, since it is smaller than the sum of its proper divisors (306930864140).

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

231343434100 is a wasteful number, since it uses less digits than its factorization.

231343434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722697 (or 1722690 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 231343434100 its reverse (1434343132), we get a palindrome (232777777232).

The spelling of 231343434100 in words is "two hundred thirty-one billion, three hundred forty-three million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 79 85 100 158 170 316 340 395 425 790 850 1343 1580 1700 1975 2686 3950 5372 6715 7900 13430 26860 33575 67150 134300 1722587 3445174 6890348 8612935 17225870 29283979 34451740 43064675 58567958 86129350 117135916 136084373 146419895 172258700 272168746 292839790 544337492 585679580 680421865 732099475 1360843730 1464198950 2313434341 2721687460 2928397900 3402109325 4626868682 6804218650 9253737364 11567171705 13608437300 23134343410 46268686820 57835858525 115671717050 231343434100