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129312315 = 3351131532
BaseRepresentation
bin1111011010100…
…10011000111011
3100000022202011000
413231102120323
5231100443230
620455340043
73130064556
oct755223073
9300282130
10129312315
1166aa2290
1237381623
1320a37782
141326169d
15b544b60
hex7b5263b

129312315 has 96 divisors (see below), whose sum is σ = 263854080. Its totient is φ = 59529600.

The previous prime is 129312307. The next prime is 129312317. The reversal of 129312315 is 513213921.

It is not a de Polignac number, because 129312315 - 23 = 129312307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

129312315 is a Rhonda number in base 10.

Its product of digits (1620) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129312317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2439829 + ... + 2439881.

It is an arithmetic number, because the mean of its divisors is an integer number (2748480).

Almost surely, 2129312315 is an apocalyptic number.

129312315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

129312315 is an abundant number, since it is smaller than the sum of its proper divisors (134541765).

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

129312315 is a wasteful number, since it uses less digits than its factorization.

129312315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 103 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 129312315 is about 11371.5572812170. The cubic root of 129312315 is about 505.6848728123.

The spelling of 129312315 in words is "one hundred twenty-nine million, three hundred twelve thousand, three hundred fifteen".

Divisors: 1 3 5 9 11 15 27 31 33 45 53 55 93 99 135 155 159 165 265 279 297 341 465 477 495 583 795 837 1023 1395 1431 1485 1643 1705 1749 2385 2809 2915 3069 4185 4929 5115 5247 7155 8215 8427 8745 9207 14045 14787 15345 15741 18073 24645 25281 26235 30899 42135 44361 46035 54219 73935 75843 78705 87079 90365 92697 126405 154495 162657 221805 261237 271095 278091 379215 435395 463485 487971 783711 813285 834273 957869 1306185 1390455 2351133 2439855 2873607 3918555 4171365 4789345 8620821 11755665 14368035 25862463 43104105 129312315