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2042132310 = 234517148303
BaseRepresentation
bin111100110111000…
…0111011101010110
312021022122001220000
41321232013131112
513140241213220
6534345552130
7101414560341
oct17156073526
95238561800
102042132310
11958804259
1248baa5646
1326710961a
14155305458
15be436390
hex79b87756

2042132310 has 80 divisors (see below), whose sum is σ = 5814110016. Its totient is φ = 512531712.

The previous prime is 2042132299. The next prime is 2042132321. The reversal of 2042132310 is 132312402.

It is an interprime number because it is at equal distance from previous prime (2042132299) and next prime (2042132321).

It is a super-2 number, since 2×20421323102 = 8340608743091872200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 60382 + ... + 87921.

Almost surely, 22042132310 is an apocalyptic number.

2042132310 is an abundant number, since it is smaller than the sum of its proper divisors (3771977706).

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

2042132310 is a wasteful number, since it uses less digits than its factorization.

2042132310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148339 (or 148330 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2042132310 is about 45189.9580659243. The cubic root of 2042132310 is about 1268.7068719192.

Adding to 2042132310 its reverse (132312402), we get a palindrome (2174444712).

The spelling of 2042132310 in words is "two billion, forty-two million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 13770 148303 296606 444909 741515 889818 1334727 1483030 2224545 2521151 2669454 4004181 4449090 5042302 6673635 7563453 8008362 12012543 12605755 13347270 15126906 20020905 22690359 24025086 25211510 37817265 40041810 45380718 60062715 68071077 75634530 113451795 120125430 136142154 204213231 226903590 340355385 408426462 680710770 1021066155 2042132310