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10105617530 = 2517292049821
BaseRepresentation
bin10010110100101011…
…10111110001111010
3222002021111120010202
421122111313301322
5131144014230110
64350434242202
7505266221531
oct113225676172
928067446122
1010105617530
1143163a3028
121b60426362
13c50849b58
146bc1b7318
153e22c20a5
hex25a577c7a

10105617530 has 32 divisors (see below), whose sum is σ = 19924269840. Its totient is φ = 3673277440.

The previous prime is 10105617497. The next prime is 10105617601. The reversal of 10105617530 is 3571650101.

It can be written as a sum of positive squares in 8 ways, for example, as 5070721681 + 5034895849 = 71209^2 + 70957^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10105617493 and 10105617502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1019981 + ... + 1029840.

Almost surely, 210105617530 is an apocalyptic number.

10105617530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10105617530 is a deficient number, since it is larger than the sum of its proper divisors (9818652310).

10105617530 is a wasteful number, since it uses less digits than its factorization.

10105617530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049874.

The product of its (nonzero) digits is 3150, while the sum is 29.

The spelling of 10105617530 in words is "ten billion, one hundred five million, six hundred seventeen thousand, five hundred thirty".

Divisors: 1 2 5 10 17 29 34 58 85 145 170 290 493 986 2465 4930 2049821 4099642 10249105 20498210 34846957 59444809 69693914 118889618 174234785 297224045 348469570 594448090 1010561753 2021123506 5052808765 10105617530