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233423041122100 = 22525323734384577
BaseRepresentation
bin110101000100110000001001…
…011100101100111100110100
31010121111000200002002202000001
4311010300021130230330310
5221043400342011401400
62144241021551401044
7100111154363332204
oct6504601134547464
91117430602082001
10233423041122100
1168415179429545
122221ab48223184
13a0329102c59cb
14418da421c0404
151bebd07bd9a6a
hexd44c0972cf34

233423041122100 has 36 divisors (see below), whose sum is σ = 506529066213324. Its totient is φ = 93369019770880.

The previous prime is 233423041122083. The next prime is 233423041122121. The reversal of 233423041122100 is 1221140324332.

It can be written as a sum of positive squares in 6 ways, for example, as 52566567076 + 233370474555024 = 229274^2 + 15276468^2 .

It is a super-2 number, since 2×2334230411221002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 51045012 + ... + 55429588.

It is an arithmetic number, because the mean of its divisors is an integer number (14070251839259).

Almost surely, 2233423041122100 is an apocalyptic number.

233423041122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233423041122100 is an abundant number, since it is smaller than the sum of its proper divisors (273106025091224).

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

233423041122100 is a wasteful number, since it uses less digits than its factorization.

233423041122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916964 (or 4916957 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 233423041122100 its reverse (1221140324332), we get a palindrome (234644181446432).

The spelling of 233423041122100 in words is "two hundred thirty-three trillion, four hundred twenty-three billion, forty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 532373 1064746 2129492 2661865 4384577 5323730 8769154 10647460 13309325 17538308 21922885 26618650 43845770 53237300 87691540 109614425 219228850 438457700 2334230411221 4668460822442 9336921644884 11671152056105 23342304112210 46684608224420 58355760280525 116711520561050 233423041122100