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10042200233 = 1331411494079
BaseRepresentation
bin10010101101000111…
…11101000010101001
3221220212011121221222
421112203331002221
5131031300401413
64340251111425
7503566202462
oct112643750251
927825147858
1010042200233
11429361873a
121b43142575
13c40674620
146b39c9d69
153db946b08
hex2568fd0a9

10042200233 has 32 divisors (see below), whose sum is σ = 11515392000. Its totient is φ = 8691033600.

The previous prime is 10042200209. The next prime is 10042200241. The reversal of 10042200233 is 33200224001.

10042200233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10042200233 - 226 = 9975091369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042200293) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2459888 + ... + 2463966.

It is an arithmetic number, because the mean of its divisors is an integer number (359856000).

Almost surely, 210042200233 is an apocalyptic number.

10042200233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10042200233 is a deficient number, since it is larger than the sum of its proper divisors (1473191767).

10042200233 is a wasteful number, since it uses less digits than its factorization.

10042200233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313.

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 10042200233 its reverse (33200224001), we get a palindrome (43242424234).

The spelling of 10042200233 in words is "ten billion, forty-two million, two hundred thousand, two hundred thirty-three".

Divisors: 1 13 31 41 149 403 533 1271 1937 4079 4619 6109 16523 53027 60047 79417 126449 167239 189379 607771 1643837 2174107 2461927 5184409 7901023 18840901 24918611 67397317 244931713 323941943 772476941 10042200233