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101311221012 = 22319463433777
BaseRepresentation
bin101111001011010011…
…1101000110100010100
3100200111112221021022220
41132112213220310110
53124441133033022
6114313003022340
710214405112201
oct1362647506424
9320445837286
10101311221012
1139a695a7931
1217774b0a9b0
139727375c71
144c91262ca8
15297e3e485c
hex17969e8d14

101311221012 has 24 divisors (see below), whose sum is σ = 236405539776. Its totient is φ = 33768594048.

The previous prime is 101311221007. The next prime is 101311221017. The reversal of 101311221012 is 210122113101.

It is an interprime number because it is at equal distance from previous prime (101311221007) and next prime (101311221017).

It is a junction number, because it is equal to n+sod(n) for n = 101311220982 and 101311221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311221017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16668 + ... + 450444.

It is an arithmetic number, because the mean of its divisors is an integer number (9850230824).

Almost surely, 2101311221012 is an apocalyptic number.

101311221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101311221012 is an abundant number, since it is smaller than the sum of its proper divisors (135094318764).

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

101311221012 is a wasteful number, since it uses less digits than its factorization.

101311221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453247 (or 453245 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101311221012 its reverse (210122113101), we get a palindrome (311433334113).

The spelling of 101311221012 in words is "one hundred one billion, three hundred eleven million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 19463 38926 58389 77852 116778 233556 433777 867554 1301331 1735108 2602662 5205324 8442601751 16885203502 25327805253 33770407004 50655610506 101311221012