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101206364 = 2272516359
BaseRepresentation
bin1100000100001…
…00100101011100
321001102211000212
412002010211130
5201402100424
614013111552
72336145200
oct602044534
9231384025
10101206364
1152145926
1229a885b8
1317c7692c
14d626b00
158d4210e
hex608495c

101206364 has 18 divisors (see below), whose sum is σ = 206027640. Its totient is φ = 43374072.

The previous prime is 101206363. The next prime is 101206373. The reversal of 101206364 is 463602101.

It is a happy number.

It is a super-2 number, since 2×1012063642 = 20485456228200992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101206363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 257984 + ... + 258375.

It is an arithmetic number, because the mean of its divisors is an integer number (11445980).

Almost surely, 2101206364 is an apocalyptic number.

101206364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101206364 is an abundant number, since it is smaller than the sum of its proper divisors (104821276).

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

101206364 is a wasteful number, since it uses less digits than its factorization.

101206364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516377 (or 516368 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 101206364 is about 10060.1373748076. The cubic root of 101206364 is about 466.0179096311.

Adding to 101206364 its reverse (463602101), we get a palindrome (564808465).

The spelling of 101206364 in words is "one hundred one million, two hundred six thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 516359 1032718 2065436 3614513 7229026 14458052 25301591 50603182 101206364