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101111020131 = 311229258427
BaseRepresentation
bin101111000101010101…
…1111011101001100011
3100122222121020000100110
41132022223323221203
53124033410121011
6114241052022403
710206424330152
oct1361253735143
9318877200313
10101111020131
1139976597a60
1217719a61a03
1396c4a4b3c4
144c7282b599
15296ba4aba6
hex178aafba63

101111020131 has 24 divisors (see below), whose sum is σ = 147718137024. Its totient is φ = 61010766240.

The previous prime is 101111020123. The next prime is 101111020151. The reversal of 101111020131 is 131020111101.

It is not a de Polignac number, because 101111020131 - 23 = 101111020123 is a prime.

It is a super-2 number, since 2×1011110201312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101111020121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1701340 + ... + 1759766.

It is an arithmetic number, because the mean of its divisors is an integer number (6154922376).

Almost surely, 2101111020131 is an apocalyptic number.

101111020131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101111020131 is a deficient number, since it is larger than the sum of its proper divisors (46607116893).

101111020131 is an equidigital number, since it uses as much as digits as its factorization.

101111020131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58899 (or 58670 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101111020131 its reverse (131020111101), we get a palindrome (232131131232).

The spelling of 101111020131 in words is "one hundred one billion, one hundred eleven million, twenty thousand, one hundred thirty-one".

Divisors: 1 3 11 33 229 687 2519 7557 52441 58427 157323 175281 576851 642697 1730553 1928091 13379783 40139349 147177613 441532839 3063970307 9191910921 33703673377 101111020131