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122142906 = 23219218797
BaseRepresentation
bin1110100011111…
…00000010111010
322111211111120100
413101330002322
5222232033111
620041540230
73012124524
oct721740272
9274744510
10122142906
1162a45856
1234aa4676
131c3c7412
1412316a14
15aaca756
hex747c0ba

122142906 has 36 divisors (see below), whose sum is σ = 279319482. Its totient is φ = 38569392.

The previous prime is 122142869. The next prime is 122142907. The reversal of 122142906 is 609241221.

It can be written as a sum of positive squares in only one way, i.e., 86322681 + 35820225 = 9291^2 + 5985^2 .

It is a super-2 number, since 2×1221429062 = 29837778972249672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122142906.

It is not an unprimeable number, because it can be changed into a prime (122142907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2901 + ... + 15896.

Almost surely, 2122142906 is an apocalyptic number.

122142906 is an abundant number, since it is smaller than the sum of its proper divisors (157176576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122142906 is a wasteful number, since it uses less digits than its factorization.

122142906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18843 (or 18821 counting only the distinct ones).

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

The square root of 122142906 is about 11051.8281745601. The cubic root of 122142906 is about 496.1611431191.

The spelling of 122142906 in words is "one hundred twenty-two million, one hundred forty-two thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 18797 37594 56391 112782 169173 338346 357143 714286 1071429 2142858 3214287 6428574 6785717 13571434 20357151 40714302 61071453 122142906