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100022110212229 is a prime number
BaseRepresentation
bin10110101111100000110110…
…010110010101000010000101
3111010011000112211120200111221
4112233200312112111002011
5101102230240203242404
6552421304553200341
730032234063635342
oct2657406626250205
9433130484520457
10100022110212229
1129963158709947
12b274b564000b1
1343a7076a75a6a
141a9b14b4817c9
15b86c1091d954
hex5af836595085

100022110212229 has 2 divisors, whose sum is σ = 100022110212230. Its totient is φ = 100022110212228.

The previous prime is 100022110212197. The next prime is 100022110212239. The reversal of 100022110212229 is 922212011220001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60230047683204 + 39792062529025 = 7760802^2 + 6308095^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022110212229 - 25 = 100022110212197 is a prime.

It is a super-2 number, since 2×1000221102122292 (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 (100022110212239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011055106114 + 50011055106115.

It is an arithmetic number, because the mean of its divisors is an integer number (50011055106115).

Almost surely, 2100022110212229 is an apocalyptic number.

It is an amenable number.

100022110212229 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022110212229 is an equidigital number, since it uses as much as digits as its factorization.

100022110212229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 100022110212229 in words is "one hundred trillion, twenty-two billion, one hundred ten million, two hundred twelve thousand, two hundred twenty-nine".