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129119310 = 23252961811
BaseRepresentation
bin1111011001000…
…11010001001110
322222221221101200
413230203101032
5231023304220
620451250330
73125332065
oct754432116
9288857350
10129119310
1166980281
12372a99a6
132099a978
14132111dc
15b507890
hex7b2344e

129119310 has 96 divisors (see below), whose sum is σ = 353414880. Its totient is φ = 32659200.

The previous prime is 129119303. The next prime is 129119311. The reversal of 129119310 is 13911921.

It is a super-2 number, since 2×1291193102 = 33343592429752200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129119311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158805 + ... + 159615.

It is an arithmetic number, because the mean of its divisors is an integer number (3681405).

Almost surely, 2129119310 is an apocalyptic number.

129119310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129119310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176707440).

129119310 is an abundant number, since it is smaller than the sum of its proper divisors (224295570).

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

129119310 is a wasteful number, since it uses less digits than its factorization.

129119310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 129119310 is about 11363.0678075949. The cubic root of 129119310 is about 505.4331610125.

The spelling of 129119310 in words is "one hundred twenty-nine million, one hundred nineteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 61 87 90 122 145 174 183 261 290 305 366 435 522 549 610 811 870 915 1098 1305 1622 1769 1830 2433 2610 2745 3538 4055 4866 5307 5490 7299 8110 8845 10614 12165 14598 15921 17690 23519 24330 26535 31842 36495 47038 49471 53070 70557 72990 79605 98942 117595 141114 148413 159210 211671 235190 247355 296826 352785 423342 445239 494710 705570 742065 890478 1058355 1434659 1484130 2116710 2226195 2869318 4303977 4452390 7173295 8607954 12911931 14346590 21519885 25823862 43039770 64559655 129119310