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234101004100 = 225217137706473
BaseRepresentation
bin1101101000000110000…
…0011101011101000100
3211101020220100011220021
43122001200131131010
512313414324112400
6255313340544524
722625145463015
oct3320140353504
9741226304807
10234101004100
1190310a06317
1239453b52144
13190ca20b502
14b48b05300c
15615212571a
hex368181d744

234101004100 has 36 divisors (see below), whose sum is σ = 537881487444. Its totient is φ = 88132142080.

The previous prime is 234101004091. The next prime is 234101004133. The reversal of 234101004100 is 1400101432.

It can be written as a sum of positive squares in 6 ways, for example, as 4604436736 + 229496567364 = 67856^2 + 479058^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68851537 + ... + 68854936.

It is an arithmetic number, because the mean of its divisors is an integer number (14941152429).

Almost surely, 2234101004100 is an apocalyptic number.

234101004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234101004100 is an abundant number, since it is smaller than the sum of its proper divisors (303780483344).

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

234101004100 is a wasteful number, since it uses less digits than its factorization.

234101004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137706504 (or 137706497 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 234101004100 its reverse (1400101432), we get a palindrome (235501105532).

The spelling of 234101004100 in words is "two hundred thirty-four billion, one hundred one million, four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 137706473 275412946 550825892 688532365 1377064730 2341010041 2754129460 3442661825 4682020082 6885323650 9364040164 11705050205 13770647300 23410100410 46820200820 58525251025 117050502050 234101004100