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122106159 = 3274121153
BaseRepresentation
bin1110100011100…
…11000100101111
322111202122011100
413101303010233
5222224344114
620041054143
73011612430
oct721630457
9274678140
10122106159
1162a2018a
1234a87353
131c3b3786
1412307487
15aabe909
hex747312f

122106159 has 36 divisors (see below), whose sum is σ = 206787568. Its totient is φ = 68014080.

The previous prime is 122106157. The next prime is 122106161. The reversal of 122106159 is 951601221.

It is an interprime number because it is at equal distance from previous prime (122106157) and next prime (122106161).

It is not a de Polignac number, because 122106159 - 21 = 122106157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122106157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105327 + ... + 106479.

Almost surely, 2122106159 is an apocalyptic number.

122106159 is a deficient number, since it is larger than the sum of its proper divisors (84681409).

122106159 is a wasteful number, since it uses less digits than its factorization.

122106159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 122106159 is about 11050.1655643705. The cubic root of 122106159 is about 496.1113810198. Note that the first 3 decimals are identical.

It can be divided in two parts, 122106 and 159, that added together give a triangular number (122265 = T494).

The spelling of 122106159 in words is "one hundred twenty-two million, one hundred six thousand, one hundred fifty-nine".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 1153 1681 2583 3459 5043 8071 10377 11767 15129 24213 35301 47273 72639 105903 141819 330911 425457 992733 1938193 2978199 5814579 13567351 17443737 40702053 122106159