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101311380 = 22325562841
BaseRepresentation
bin1100000100111…
…10001110010100
321001122011002100
412002132032110
5201413431010
614015242100
72340063312
oct602361624
9231564070
10101311380
1152207815
1229b19330
1317cb2681
14d6530b2
158d632c0
hex609e394

101311380 has 36 divisors (see below), whose sum is σ = 307311732. Its totient is φ = 27016320.

The previous prime is 101311373. The next prime is 101311403. The reversal of 101311380 is 83113101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20958084 + 80353296 = 4578^2 + 8964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281241 + ... + 281600.

It is an arithmetic number, because the mean of its divisors is an integer number (8536437).

Almost surely, 2101311380 is an apocalyptic number.

101311380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101311380 is an abundant number, since it is smaller than the sum of its proper divisors (206000352).

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

101311380 is a wasteful number, since it uses less digits than its factorization.

101311380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562856 (or 562851 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101311380 is about 10065.3554333665. The cubic root of 101311380 is about 466.1790405371.

Adding to 101311380 its reverse (83113101), we get a palindrome (184424481).

It can be divided in two parts, 10131 and 1380, that added together give a palindrome (11511).

The spelling of 101311380 in words is "one hundred one million, three hundred eleven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 562841 1125682 1688523 2251364 2814205 3377046 5065569 5628410 6754092 8442615 10131138 11256820 16885230 20262276 25327845 33770460 50655690 101311380