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101124610033 is a prime number
BaseRepresentation
bin101111000101101111…
…1110001011111110001
3100200000112210110012011
41132023133301133301
53124100400010113
6114242255202521
710206651000646
oct1361337613761
9320015713164
10101124610033
113998322a287
1217722516441
1396c77c8c75
144c74567dcd
15296cd3263d
hex178b7f17f1

101124610033 has 2 divisors, whose sum is σ = 101124610034. Its totient is φ = 101124610032.

The previous prime is 101124609961. The next prime is 101124610049. The reversal of 101124610033 is 330016421101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97588761664 + 3535848369 = 312392^2 + 59463^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101124610033 is a prime.

It is a super-2 number, since 2×1011246100332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101124609986 and 101124610013.

It is not a weakly prime, because it can be changed into another prime (101124610333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50562305016 + 50562305017.

It is an arithmetic number, because the mean of its divisors is an integer number (50562305017).

Almost surely, 2101124610033 is an apocalyptic number.

It is an amenable number.

101124610033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101124610033 is an equidigital number, since it uses as much as digits as its factorization.

101124610033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 101124610033 in words is "one hundred one billion, one hundred twenty-four million, six hundred ten thousand, thirty-three".