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121388157 = 321131371069
BaseRepresentation
bin1110011110000…
…11110001111101
322110102011020200
413033003301331
5222033410112
620013434113
73002532222
oct717036175
9273364220
10121388157
116257a7a0
123479b939
131c1c1a17
141219b949
15a9cbcdc
hex73c3c7d

121388157 has 48 divisors (see below), whose sum is σ = 202974720. Its totient is φ = 69206400.

The previous prime is 121388149. The next prime is 121388173. The reversal of 121388157 is 751883121.

121388157 is a `hidden beast` number, since 121 + 388 + 157 = 666.

It is not a de Polignac number, because 121388157 - 23 = 121388149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121388117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113019 + ... + 114087.

It is an arithmetic number, because the mean of its divisors is an integer number (4228640).

Almost surely, 2121388157 is an apocalyptic number.

It is an amenable number.

121388157 is a deficient number, since it is larger than the sum of its proper divisors (81586563).

121388157 is a wasteful number, since it uses less digits than its factorization.

121388157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1151 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 121388157 is about 11017.6293729640. The cubic root of 121388157 is about 495.1370664197.

The spelling of 121388157 in words is "one hundred twenty-one million, three hundred eighty-eight thousand, one hundred fifty-seven".

Divisors: 1 3 9 11 31 33 37 93 99 111 279 333 341 407 1023 1069 1147 1221 3069 3207 3441 3663 9621 10323 11759 12617 33139 35277 37851 39553 99417 105831 113553 118659 298251 355977 364529 435083 1093587 1226143 1305249 3280761 3678429 3915747 11035287 13487573 40462719 121388157