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101203131 = 3132125537
BaseRepresentation
bin1100000100000…
…11110010111011
321001102122121010
412002003302323
5201402000011
614013045003
72336132601
oct602036273
9231378533
10101203131
1152143457
1229a86763
1317c75313
14d625871
158d411a6
hex6083cbb

101203131 has 8 divisors (see below), whose sum is σ = 135044944. Its totient is φ = 67415040.

The previous prime is 101203099. The next prime is 101203163. The reversal of 101203131 is 131302101.

It is an interprime number because it is at equal distance from previous prime (101203099) and next prime (101203163).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101203131 - 25 = 101203099 is a prime.

It is a super-2 number, since 2×1012031312 = 20484147448406322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101203181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8806 + ... + 16731.

It is an arithmetic number, because the mean of its divisors is an integer number (16880618).

Almost surely, 2101203131 is an apocalyptic number.

101203131 is a deficient number, since it is larger than the sum of its proper divisors (33841813).

101203131 is a wasteful number, since it uses less digits than its factorization.

101203131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26861.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101203131 is about 10059.9766898338. The cubic root of 101203131 is about 466.0129473215.

Adding to 101203131 its reverse (131302101), we get a palindrome (232505232).

The spelling of 101203131 in words is "one hundred one million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 3 1321 3963 25537 76611 33734377 101203131