Search a number
-
+
122102133231029 = 7219131151593159
BaseRepresentation
bin11011110000110100011110…
…010001110000110110110101
3121000022211221121022120222212
4123300310132101300312311
5112001010132101343104
61111404540131303205
734501405454631200
oct3360643621606665
9530284847276885
10122102133231029
11359a6251016146
121184026544ab05
135319249425153
142221abbdda937
15e1b253c9b36e
hex6f0d1e470db5

122102133231029 has 12 divisors (see below), whose sum is σ = 149512816202400. Its totient is φ = 99150604427448.

The previous prime is 122102133230879. The next prime is 122102133231101. The reversal of 122102133231029 is 920132331201221.

It is a de Polignac number, because none of the positive numbers 2k-122102133231029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122102133230986 and 122102133231004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102133231229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65575795649 + ... + 65575797510.

It is an arithmetic number, because the mean of its divisors is an integer number (12459401350200).

Almost surely, 2122102133231029 is an apocalyptic number.

122102133231029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

122102133231029 is a deficient number, since it is larger than the sum of its proper divisors (27410682971371).

122102133231029 is a wasteful number, since it uses less digits than its factorization.

122102133231029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131151593192 (or 131151593185 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 122102133231029 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred thirty-three million, two hundred thirty-one thousand, twenty-nine".

Divisors: 1 7 19 49 133 931 131151593159 918061152113 2491880270021 6426428064791 17443161890147 122102133231029