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101322200313 = 3211258022257
BaseRepresentation
bin101111001011101000…
…1100001010011111001
3100200112022121002002200
41132113101201103321
53130001440402223
6114314034220413
710214600330625
oct1362721412371
9320468532080
10101322200313
1139a74816834
1217778724709
13972971b4a9
144c928c0185
152980362a43
hex17974614f9

101322200313 has 6 divisors (see below), whose sum is σ = 146354289354. Its totient is φ = 67548133536.

The previous prime is 101322200279. The next prime is 101322200347. The reversal of 101322200313 is 313002223101.

101322200313 is a `hidden beast` number, since 1 + 0 + 132 + 220 + 0 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (101322200279) and next prime (101322200347).

It can be written as a sum of positive squares in only one way, i.e., 80068059369 + 21254140944 = 282963^2 + 145788^2 .

It is not a de Polignac number, because 101322200313 - 26 = 101322200249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101322200383) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5629011120 + ... + 5629011137.

It is an arithmetic number, because the mean of its divisors is an integer number (24392381559).

Almost surely, 2101322200313 is an apocalyptic number.

It is an amenable number.

101322200313 is a deficient number, since it is larger than the sum of its proper divisors (45032089041).

101322200313 is a wasteful number, since it uses less digits than its factorization.

101322200313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11258022263 (or 11258022260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101322200313 its reverse (313002223101), we get a palindrome (414324423414).

The spelling of 101322200313 in words is "one hundred one billion, three hundred twenty-two million, two hundred thousand, three hundred thirteen".

Divisors: 1 3 9 11258022257 33774066771 101322200313