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10234031120 = 245233354833
BaseRepresentation
bin10011000011111111…
…01110110000010000
3222102020010122110122
421201333232300100
5131424402443440
64411302445412
7511415554265
oct114177566020
928366118418
1010234031120
114381931065
121b97433868
13c7132b521
146d128326c
153ed6da7b5
hex261feec10

10234031120 has 40 divisors (see below), whose sum is σ = 23804755416. Its totient is φ = 4091783168.

The previous prime is 10234031099. The next prime is 10234031149. The reversal of 10234031120 is 2113043201.

10234031120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 621405184 + 9612625936 = 24928^2 + 98044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159224 + ... + 214056.

Almost surely, 210234031120 is an apocalyptic number.

10234031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10234031120 is an abundant number, since it is smaller than the sum of its proper divisors (13570724296).

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

10234031120 is a wasteful number, since it uses less digits than its factorization.

10234031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57179 (or 57173 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10234031120 its reverse (2113043201), we get a palindrome (12347074321).

The spelling of 10234031120 in words is "ten billion, two hundred thirty-four million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2333 4666 9332 11665 18664 23330 37328 46660 54833 93320 109666 186640 219332 274165 438664 548330 877328 1096660 2193320 4386640 127925389 255850778 511701556 639626945 1023403112 1279253890 2046806224 2558507780 5117015560 10234031120