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122074938981 = 3229346293113
BaseRepresentation
bin111000110110000111…
…0111011111001100101
3102200002121112102200100
41301230032323321211
54000002141021411
6132025213334313
711551062601122
oct1615416737145
9380077472610
10122074938981
1147854136526
121b7aa797399
13b68603c308
145ca0b4b749
15329721c456
hex1c6c3bbe65

122074938981 has 12 divisors (see below), whose sum is σ = 176932281708. Its totient is φ = 81105532224.

The previous prime is 122074938961. The next prime is 122074939031. The reversal of 122074938981 is 189839470221.

122074938981 is a `hidden beast` number, since 12 + 207 + 49 + 389 + 8 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104190156225 + 17884782756 = 322785^2 + 133734^2 .

It is not a de Polignac number, because 122074938981 - 217 = 122074807909 is a prime.

It is a super-3 number, since 3×1220749389813 (a number of 34 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 (122074938911) 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, 23143920 + ... + 23149193.

It is an arithmetic number, because the mean of its divisors is an integer number (14744356809).

Almost surely, 2122074938981 is an apocalyptic number.

It is an amenable number.

122074938981 is a deficient number, since it is larger than the sum of its proper divisors (54857342727).

122074938981 is a wasteful number, since it uses less digits than its factorization.

122074938981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46293412 (or 46293409 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 122074938981 in words is "one hundred twenty-two billion, seventy-four million, nine hundred thirty-eight thousand, nine hundred eighty-one".

Divisors: 1 3 9 293 879 2637 46293113 138879339 416638017 13563882109 40691646327 122074938981