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2105531136 = 28322339733
BaseRepresentation
bin111110101111111…
…1101101100000000
312102201221001201200
41331133331230000
513303003444021
6544532501200
7103114501512
oct17537755400
95381831650
102105531136
11990576785
124a917a800
132772a6617
1415d8c9bb2
15c4cab126
hex7d7fdb00

2105531136 has 108 divisors (see below), whose sum is σ = 6334871088. Its totient is φ = 671311872.

The previous prime is 2105531059. The next prime is 2105531137. The reversal of 2105531136 is 6311355012.

It is a super-2 number, since 2×21055311362 = 8866522729330900992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2105531137) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 33126 + ... + 72858.

Almost surely, 22105531136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167435544).

2105531136 is an abundant number, since it is smaller than the sum of its proper divisors (4229339952).

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

2105531136 is a wasteful number, since it uses less digits than its factorization.

2105531136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39778 (or 39761 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 2105531136 is about 45886.0669048895. The cubic root of 2105531136 is about 1281.7024741901.

Adding to 2105531136 its reverse (6311355012), we get a palindrome (8416886148).

The spelling of 2105531136 in words is "two billion, one hundred five million, five hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 2208 2304 2944 3312 4416 5888 6624 8832 13248 17664 26496 39733 52992 79466 119199 158932 238398 317864 357597 476796 635728 715194 913859 953592 1271456 1430388 1827718 1907184 2542912 2741577 2860776 3655436 3814368 5085824 5483154 5721552 7310872 7628736 8224731 10171648 10966308 11443104 14621744 15257472 16449462 21932616 22886208 29243488 30514944 32898924 43865232 45772416 58486976 65797848 87730464 91544832 116973952 131595696 175460928 233947904 263191392 350921856 526382784 701843712 1052765568 2105531136