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10042132503 = 3136122918433
BaseRepresentation
bin10010101101000111…
…01100100000010111
3221220212001012001110
421112203230200113
5131031241220003
64340245430103
7503565501144
oct112643544027
927825035043
1010042132503
114293581867
121b4310b333
13c4064c850
146b39ad3cb
153db931a03
hex2568ec817

10042132503 has 32 divisors (see below), whose sum is σ = 14720655040. Its totient is φ = 6051594240.

The previous prime is 10042132493. The next prime is 10042132537. The reversal of 10042132503 is 30523124001.

10042132503 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10042132503 - 24 = 10042132487 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10042132503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042132003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535575 + ... + 554007.

It is an arithmetic number, because the mean of its divisors is an integer number (460020470).

Almost surely, 210042132503 is an apocalyptic number.

10042132503 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10042132503 is a deficient number, since it is larger than the sum of its proper divisors (4678522537).

10042132503 is a wasteful number, since it uses less digits than its factorization.

10042132503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18739.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 10042132503 its reverse (30523124001), we get a palindrome (40565256504).

The spelling of 10042132503 in words is "ten billion, forty-two million, one hundred thirty-two thousand, five hundred three".

Divisors: 1 3 13 39 61 183 229 687 793 2379 2977 8931 13969 18433 41907 55299 181597 239629 544791 718887 1124413 3373239 4221157 12663471 14617369 43852107 54875041 164625123 257490577 772471731 3347377501 10042132503