Search a number
-
+
122101120101431 is a prime number
BaseRepresentation
bin11011110000110011100001…
…111000111110110000110111
3121000022202022222221021110102
4123300303201320332300313
5112001001043221221211
61111404251420344315
734501341403314452
oct3360634170766067
9530282288837412
10122101120101431
11359a5881144959
12118400220a509b
13531911756ba93
142221a23632499
15e1b1e4d74a3b
hex6f0ce1e3ec37

122101120101431 has 2 divisors, whose sum is σ = 122101120101432. Its totient is φ = 122101120101430.

The previous prime is 122101120101421. The next prime is 122101120101463. The reversal of 122101120101431 is 134101021101221.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (134101021101221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122101120101431 - 238 = 121826242194487 is a prime.

It is a super-2 number, since 2×1221011201014312 (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 (122101120101421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050560050715 + 61050560050716.

It is an arithmetic number, because the mean of its divisors is an integer number (61050560050716).

Almost surely, 2122101120101431 is an apocalyptic number.

122101120101431 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101120101431 is an equidigital number, since it uses as much as digits as its factorization.

122101120101431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 122101120101431 its reverse (134101021101221), we get a palindrome (256202141202652).

The spelling of 122101120101431 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty million, one hundred one thousand, four hundred thirty-one".