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2132310102 = 23131710914753
BaseRepresentation
bin111111100011000…
…0111100001010110
312111121022120120020
41333012013201112
513331332410402
6551330450010
7103561223346
oct17706074126
95447276506
102132310102
119a46a715a
124b6133906
1327c9c1470
1416329ad26
15c72ea8bc
hex7f187856

2132310102 has 64 divisors (see below), whose sum is σ = 4907770560. Its totient is φ = 611794944.

The previous prime is 2132310043. The next prime is 2132310121. The reversal of 2132310102 is 2010132312.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 137158 + ... + 151910.

It is an arithmetic number, because the mean of its divisors is an integer number (76683915).

Almost surely, 22132310102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132310102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453885280).

2132310102 is an abundant number, since it is smaller than the sum of its proper divisors (2775460458).

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

2132310102 is a wasteful number, since it uses less digits than its factorization.

2132310102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14897.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2132310102 is about 46176.9434025250. The cubic root of 2132310102 is about 1287.1133301032.

Adding to 2132310102 its reverse (2010132312), we get a palindrome (4142442414).

The spelling of 2132310102 in words is "two billion, one hundred thirty-two million, three hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 109 218 221 327 442 654 663 1326 1417 1853 2834 3706 4251 5559 8502 11118 14753 24089 29506 44259 48178 72267 88518 144534 191789 250801 383578 501602 575367 752403 1150734 1504806 1608077 3216154 3260413 4824231 6520826 9648462 9781239 19562478 20905001 27337309 41810002 54674618 62715003 82011927 125430006 164023854 355385017 710770034 1066155051 2132310102