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2132111982 = 2371113354997
BaseRepresentation
bin111111100010101…
…0111001001101110
312111120221111210110
41333011113021232
513331310040412
6551322320450
7103556436630
oct17705271156
95446844713
102132111982
119a4581320
124b6059126
1327c952230
14163248a50
15c72abd3c
hex7f15726e

2132111982 has 64 divisors (see below), whose sum is σ = 5725407744. Its totient is φ = 511194240.

The previous prime is 2132111977. The next prime is 2132112011. The reversal of 2132111982 is 2891112312.

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 31 ways as a sum of consecutive naturals, for example, 171493 + ... + 183504.

It is an arithmetic number, because the mean of its divisors is an integer number (89459496).

Almost surely, 22132111982 is an apocalyptic number.

2132111982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2132111982 is an abundant number, since it is smaller than the sum of its proper divisors (3593295762).

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

2132111982 is a wasteful number, since it uses less digits than its factorization.

2132111982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355033.

The product of its digits is 1728, while the sum is 30.

The square root of 2132111982 is about 46174.7981262506. The cubic root of 2132111982 is about 1287.0734655464.

The spelling of 2132111982 in words is "two billion, one hundred thirty-two million, one hundred eleven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 354997 709994 1064991 2129982 2484979 3904967 4614961 4969958 7454937 7809934 9229922 11714901 13844883 14909874 23429802 27334769 27689766 32304727 50764571 54669538 64609454 82004307 96914181 101529142 152293713 164008614 193828362 304587426 355351997 710703994 1066055991 2132111982