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101023131 = 3117143117
BaseRepresentation
bin1100000010101…
…11110110011011
321001002111200110
412001113312123
5201330220011
614005135403
72334453036
oct601276633
9231074613
10101023131
11520301a0
12299ba563
1317c11401
14d5ba01d
158d07ba6
hex6057d9b

101023131 has 16 divisors (see below), whose sum is σ = 149015808. Its totient is φ = 60362400.

The previous prime is 101023127. The next prime is 101023157. The reversal of 101023131 is 131320101.

It is not a de Polignac number, because 101023131 - 22 = 101023127 is a prime.

It is a super-2 number, since 2×1010231312 = 20411345994086322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101023831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19216 + ... + 23901.

It is an arithmetic number, because the mean of its divisors is an integer number (9313488).

Almost surely, 2101023131 is an apocalyptic number.

101023131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101023131 is a deficient number, since it is larger than the sum of its proper divisors (47992677).

101023131 is a wasteful number, since it uses less digits than its factorization.

101023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43202.

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

The square root of 101023131 is about 10051.0263655012. The cubic root of 101023131 is about 465.7364996466.

Adding to 101023131 its reverse (131320101), we get a palindrome (232343232).

The spelling of 101023131 in words is "one hundred one million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 11 33 71 213 781 2343 43117 129351 474287 1422861 3061307 9183921 33674377 101023131