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2105581731 = 311436722147
BaseRepresentation
bin111110110000000…
…1010000010100011
312102202000122010120
41331200022002203
513303012103411
6544533531323
7103115102151
oct17540120243
95382018116
102105581731
119906007a0
124a91a3b43
132772c3666
1415d9003d1
15c4cbb106
hex7d80a0a3

2105581731 has 32 divisors (see below), whose sum is σ = 3180807168. Its totient is φ = 1227774240.

The previous prime is 2105581711. The next prime is 2105581739. The reversal of 2105581731 is 1371855012.

It is not a de Polignac number, because 2105581731 - 226 = 2038472867 is a prime.

It is a super-2 number, since 2×21055817312 = 8866948851841912722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2105581692 and 2105581701.

It is not an unprimeable number, because it can be changed into a prime (2105581739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84000 + ... + 106146.

It is an arithmetic number, because the mean of its divisors is an integer number (99400224).

Almost surely, 22105581731 is an apocalyptic number.

2105581731 is a deficient number, since it is larger than the sum of its proper divisors (1075225437).

2105581731 is a wasteful number, since it uses less digits than its factorization.

2105581731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22271.

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 2105581731 is about 45886.6182127208. The cubic root of 2105581731 is about 1281.7127403594.

The spelling of 2105581731 in words is "two billion, one hundred five million, five hundred eighty-one thousand, seven hundred thirty-one".

Divisors: 1 3 11 33 43 67 129 201 473 737 1419 2211 2881 8643 22147 31691 66441 95073 243617 730851 952321 1483849 2856963 4451547 10475531 16322339 31426593 48967017 63805507 191416521 701860577 2105581731