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100001010022031 is a prime number
BaseRepresentation
bin10110101111001101001100…
…101011011111011010001111
3111010002000002022211222001002
4112233031030223133122033
5101101404032031201111
6552403455123010515
730030556152164006
oct2657151453373217
9433060068758032
10100001010022031
1129955210155728
12b270a47b09a3b
1343a5093481a11
141a9a10900bc3d
15b863c82d063b
hex5af34cadf68f

100001010022031 has 2 divisors, whose sum is σ = 100001010022032. Its totient is φ = 100001010022030.

The previous prime is 100001010021973. The next prime is 100001010022127. The reversal of 100001010022031 is 130220010100001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100001010022031 - 222 = 100001005827727 is a prime.

It is a super-2 number, since 2×1000010100220312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001010012031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000505011015 + 50000505011016.

It is an arithmetic number, because the mean of its divisors is an integer number (50000505011016).

Almost surely, 2100001010022031 is an apocalyptic number.

100001010022031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001010022031 is an equidigital number, since it uses as much as digits as its factorization.

100001010022031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100001010022031 its reverse (130220010100001), we get a palindrome (230221020122032).

The spelling of 100001010022031 in words is "one hundred trillion, one billion, ten million, twenty-two thousand, thirty-one".