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101312311014 = 23229533661979
BaseRepresentation
bin101111001011010101…
…1110010111011100110
3100200111121222122112100
41132112223302323212
53124441422423024
6114313042232530
710214420302065
oct1362653627346
9320447878470
10101312311014
1139a6a181862
1217775355746
139727668135
144c914681dc
15297e55c7c9
hex1796af2ee6

101312311014 has 48 divisors (see below), whose sum is σ = 231363896400. Its totient is φ = 31991039808.

The previous prime is 101312311013. The next prime is 101312311027. The reversal of 101312311014 is 410113213101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312311013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1803324 + ... + 1858655.

It is an arithmetic number, because the mean of its divisors is an integer number (4820081175).

Almost surely, 2101312311014 is an apocalyptic number.

101312311014 is an abundant number, since it is smaller than the sum of its proper divisors (130051585386).

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

101312311014 is a wasteful number, since it uses less digits than its factorization.

101312311014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662069 (or 3662066 counting only the distinct ones).

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

Adding to 101312311014 its reverse (410113213101), we get a palindrome (511425524115).

The spelling of 101312311014 in words is "one hundred one billion, three hundred twelve million, three hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 159 174 261 318 477 522 954 1537 3074 4611 9222 13833 27666 3661979 7323958 10985937 21971874 32957811 65915622 106197391 194084887 212394782 318592173 388169774 582254661 637184346 955776519 1164509322 1746763983 1911553038 3493527966 5628461723 11256923446 16885385169 33770770338 50656155507 101312311014