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101321130031110 = 232511102344575789
BaseRepresentation
bin10111000010011010101001…
…111101101011100000000110
3111021202012112202112210000200
4113002122221331223200012
5101240021133241443420
6555254141244151330
730225132025132113
oct2702325175534006
9437665482483020
10101321130031110
112a3140605144a0
12b444869538546
13446c706a81b72
141b03d7c79b90a
15baa8dd779b90
hex5c26a9f6b806

101321130031110 has 48 divisors (see below), whose sum is σ = 287383568818320. Its totient is φ = 24562698189120.

The previous prime is 101321130031109. The next prime is 101321130031141. The reversal of 101321130031110 is 11130031123101.

101321130031110 is a `hidden beast` number, since 1 + 0 + 1 + 32 + 11 + 300 + 311 + 10 = 666.

101321130031110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1013211300311102 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 51172286905 + ... + 51172288884.

It is an arithmetic number, because the mean of its divisors is an integer number (5987157683715).

Almost surely, 2101321130031110 is an apocalyptic number.

101321130031110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101321130031110 is an abundant number, since it is smaller than the sum of its proper divisors (186062438787210).

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

101321130031110 is a wasteful number, since it uses less digits than its factorization.

101321130031110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102344575813 (or 102344575810 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101321130031110 its reverse (11130031123101), we get a palindrome (112451161154211).

The spelling of 101321130031110 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred thirty million, thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 102344575789 204689151578 307033727367 511722878945 614067454734 921101182101 1023445757890 1125790333679 1535168636835 1842202364202 2251580667358 3070337273670 3377371001037 4605505910505 5628951668395 6754742002074 9211011821010 10132113003111 11257903336790 16886855005185 20264226006222 33773710010370 50660565015555 101321130031110