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10102232431 = 231137974877
BaseRepresentation
bin10010110100010001…
…11101010101101111
3222002001010120122201
421122020331111233
5131142132414211
64350233522331
7505225362454
oct113210752557
928061116581
1010102232431
1143144a0825
121b5b2733a7
13c4cc33135
146bb97582b
153e1d540c1
hex25a23d56f

10102232431 has 16 divisors (see below), whose sum is σ = 10650273984. Its totient is φ = 9563513344.

The previous prime is 10102232423. The next prime is 10102232449. The reversal of 10102232431 is 13423220101.

It is a happy number.

It is not a de Polignac number, because 10102232431 - 23 = 10102232423 is a prime.

It is a super-2 number, since 2×101022324312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102232399 and 10102232408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102232401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2068965 + ... + 2073841.

It is an arithmetic number, because the mean of its divisors is an integer number (665642124).

Almost surely, 210102232431 is an apocalyptic number.

10102232431 is a deficient number, since it is larger than the sum of its proper divisors (548041553).

10102232431 is a wasteful number, since it uses less digits than its factorization.

10102232431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10102232431 its reverse (13423220101), we get a palindrome (23525452532).

It can be divided in two parts, 1010 and 2232431, that added together give a triangular number (2233441 = T2113).

The spelling of 10102232431 in words is "ten billion, one hundred two million, two hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 23 113 797 2599 4877 18331 90061 112171 551101 2071403 3886969 12675323 89400287 439227497 10102232431