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100291212031 is a prime number
BaseRepresentation
bin101110101100111010…
…0100111001011111111
3100120212110121110001111
41131121310213023333
53120344022241111
6114023444422451
710150211144113
oct1353164471377
9316773543044
10100291212031
1139595857aaa
121752b3a7a27
1395c3c5155a
144bd59c7743
15291eaaea21
hex1759d272ff

100291212031 has 2 divisors, whose sum is σ = 100291212032. Its totient is φ = 100291212030.

The previous prime is 100291212019. The next prime is 100291212157. The reversal of 100291212031 is 130212192001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100291212031 - 217 = 100291080959 is a prime.

It is a super-2 number, since 2×1002912120312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100291211993 and 100291212011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100291212331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50145606015 + 50145606016.

It is an arithmetic number, because the mean of its divisors is an integer number (50145606016).

Almost surely, 2100291212031 is an apocalyptic number.

100291212031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100291212031 is an equidigital number, since it uses as much as digits as its factorization.

100291212031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 100291212031 in words is "one hundred billion, two hundred ninety-one million, two hundred twelve thousand, thirty-one".