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101240243313 = 31113109234029
BaseRepresentation
bin101111001001001100…
…0111000010001110001
3100200022121101020020020
41132102120320101301
53124320000241223
6114301545434053
710212553604136
oct1362230702161
9320277336206
10101240243313
1139a32529280
121775519b929
139715754421
144c85a6858d
1529780741e3
hex1792638471

101240243313 has 16 divisors (see below), whose sum is σ = 147270398400. Its totient is φ = 61352780480.

The previous prime is 101240243303. The next prime is 101240243323. The reversal of 101240243313 is 313342042101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101240243303) and next prime (101240243323).

It is a cyclic number.

It is not a de Polignac number, because 101240243313 - 24 = 101240243297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101240243303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315583 + ... + 549611.

It is an arithmetic number, because the mean of its divisors is an integer number (9204399900).

Almost surely, 2101240243313 is an apocalyptic number.

It is an amenable number.

101240243313 is a deficient number, since it is larger than the sum of its proper divisors (46030155087).

101240243313 is a wasteful number, since it uses less digits than its factorization.

101240243313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247152.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101240243313 its reverse (313342042101), we get a palindrome (414582285414).

The spelling of 101240243313 in words is "one hundred one billion, two hundred forty million, two hundred forty-three thousand, three hundred thirteen".

Divisors: 1 3 11 33 13109 39327 144199 234029 432597 702087 2574319 7722957 3067886161 9203658483 33746747771 101240243313