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122111100029 is a prime number
BaseRepresentation
bin111000110111001100…
…0111000010001111101
3102200012010120121022102
41301232120320101331
54000040420200104
6132032544354445
711552012136662
oct1615630702175
9380163517272
10122111100029
1147872594896
121b7ba915a25
13b690690699
145ca5881a69
15329a4b1a1e
hex1c6e63847d

122111100029 has 2 divisors, whose sum is σ = 122111100030. Its totient is φ = 122111100028.

The previous prime is 122111099987. The next prime is 122111100043. The reversal of 122111100029 is 920001111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109302972100 + 12808127929 = 330610^2 + 113173^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122111100029 is a prime.

It is a super-2 number, since 2×1221111000292 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111100229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055550014 + 61055550015.

It is an arithmetic number, because the mean of its divisors is an integer number (61055550015).

Almost surely, 2122111100029 is an apocalyptic number.

It is an amenable number.

122111100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111100029 is an equidigital number, since it uses as much as digits as its factorization.

122111100029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 122111100029 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred thousand, twenty-nine".