Search a number
-
+
122011030223129 is a prime number
BaseRepresentation
bin11011101111011111101000…
…000111010111100100011001
3121000000010210110221021111002
4123233133220013113210121
5111443012042214120004
61111255032105514345
734462002033063155
oct3357375007274431
9530003713837432
10122011030223129
1135970650815983
121182667b1a29b5
13531078ac3b098
14221b51881a065
15e18bc0b9261e
hex6ef7e81d7919

122011030223129 has 2 divisors, whose sum is σ = 122011030223130. Its totient is φ = 122011030223128.

The previous prime is 122011030223099. The next prime is 122011030223167. The reversal of 122011030223129 is 921322030110221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79400841811225 + 42610188411904 = 8910715^2 + 6527648^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122011030223129 is a prime.

It is a super-2 number, since 2×1220110302231292 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122011030223729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61005515111564 + 61005515111565.

It is an arithmetic number, because the mean of its divisors is an integer number (61005515111565).

Almost surely, 2122011030223129 is an apocalyptic number.

It is an amenable number.

122011030223129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011030223129 is an equidigital number, since it uses as much as digits as its factorization.

122011030223129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 122011030223129 in words is "one hundred twenty-two trillion, eleven billion, thirty million, two hundred twenty-three thousand, one hundred twenty-nine".