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101222378131 = 7241254319813
BaseRepresentation
bin101111001000101010…
…0101110101010010011
3100200021100202120210211
41132101110232222103
53124300412100011
6114300110504551
710212246006100
oct1362124565223
9320240676724
10101222378131
1139a23436966
121774b205157
139711b3a904
144c83537aa7
1529766e5b21
hex179152ea93

101222378131 has 24 divisors (see below), whose sum is σ = 120673917504. Its totient is φ = 84608334720.

The previous prime is 101222378069. The next prime is 101222378137. The reversal of 101222378131 is 131873222101.

It is not a de Polignac number, because 101222378131 - 215 = 101222345363 is a prime.

It is a super-2 number, since 2×1012223781312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101222378093 and 101222378102.

It is not an unprimeable number, because it can be changed into a prime (101222378137) 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 23 ways as a sum of consecutive naturals, for example, 5098981 + ... + 5118793.

It is an arithmetic number, because the mean of its divisors is an integer number (5028079896).

Almost surely, 2101222378131 is an apocalyptic number.

101222378131 is a deficient number, since it is larger than the sum of its proper divisors (19451539373).

101222378131 is a wasteful number, since it uses less digits than its factorization.

101222378131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22411 (or 22404 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 101222378131 in words is "one hundred one billion, two hundred twenty-two million, three hundred seventy-eight thousand, one hundred thirty-one".

Divisors: 1 7 41 49 287 2009 2543 17801 19813 104263 124607 138691 729841 812333 970837 5108887 5686331 39804317 50384459 352691213 2065762819 2468838491 14460339733 101222378131