Search a number
-
+
122120221002093 = 3217435277782451
BaseRepresentation
bin11011110001000101010100…
…011001001000100101101101
3121000101120122011122120021200
4123301011110121020211231
5112001304203034031333
61111421131031120113
734502615630303466
oct3361052431104555
9530346564576250
10122120221002093
1135a029930a7276
1211843872b13039
13531ab6c8a6c72
142222916353d6d
15e1b961be0c13
hex6f115464896d

122120221002093 has 12 divisors (see below), whose sum is σ = 176395998618528. Its totient is φ = 81413423512200.

The previous prime is 122120221002083. The next prime is 122120221002137. The reversal of 122120221002093 is 390200122021221.

122120221002093 is a `hidden beast` number, since 1 + 221 + 20 + 2 + 210 + 0 + 209 + 3 = 666.

It is not a de Polignac number, because 122120221002093 - 25 = 122120221002061 is a prime.

It is a super-3 number, since 3×1221202210020933 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120221002023) 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, 11800518 + ... + 19582968.

It is an arithmetic number, because the mean of its divisors is an integer number (14699666551544).

Almost surely, 2122120221002093 is an apocalyptic number.

It is an amenable number.

122120221002093 is a deficient number, since it is larger than the sum of its proper divisors (54275777616435).

122120221002093 is a wasteful number, since it uses less digits than its factorization.

122120221002093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9525984 (or 9525981 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 122120221002093 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, two thousand, ninety-three".

Divisors: 1 3 9 1743527 5230581 7782451 15691743 23347353 70042059 13568913444677 40706740334031 122120221002093