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101431530 = 23254212677
BaseRepresentation
bin1100000101110…
…11100011101010
321001212020220100
412002323203222
5201431302110
614022010230
72341103514
oct602734352
9231766810
10101431530
115228a012
1229b76976
1318025275
14d684bb4
158d88bc0
hex60bb8ea

101431530 has 48 divisors (see below), whose sum is σ = 264447144. Its totient is φ = 26974080.

The previous prime is 101431511. The next prime is 101431543. The reversal of 101431530 is 35134101.

101431530 is a `hidden beast` number, since 101 + 4 + 31 + 530 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17214201 + 84217329 = 4149^2 + 9177^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36552 + ... + 39228.

Almost surely, 2101431530 is an apocalyptic number.

101431530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101431530 is an abundant number, since it is smaller than the sum of its proper divisors (163015614).

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

101431530 is a wasteful number, since it uses less digits than its factorization.

101431530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 101431530 is about 10071.3221574925. The cubic root of 101431530 is about 466.3632557230.

Adding to 101431530 its reverse (35134101), we get a palindrome (136565631).

The spelling of 101431530 in words is "one hundred one million, four hundred thirty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 421 842 1263 2105 2526 2677 3789 4210 5354 6315 7578 8031 12630 13385 16062 18945 24093 26770 37890 40155 48186 80310 120465 240930 1127017 2254034 3381051 5635085 6762102 10143153 11270170 16905255 20286306 33810510 50715765 101431530