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128010312 = 233243173239
BaseRepresentation
bin1111010000101…
…00100001001000
322220212121010200
413220110201020
5230232312222
620411412200
73113032623
oct750244110
9286777120
10128010312
1166293051
1236a54060
132069cc61
1413002dba
15b388eac
hex7a14848

128010312 has 96 divisors (see below), whose sum is σ = 358300800. Its totient is φ = 41263488.

The previous prime is 128010307. The next prime is 128010331. The reversal of 128010312 is 213010821.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535489 + ... + 535727.

It is an arithmetic number, because the mean of its divisors is an integer number (3732300).

Almost surely, 2128010312 is an apocalyptic number.

128010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179150400).

128010312 is an abundant number, since it is smaller than the sum of its proper divisors (230290488).

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

128010312 is a wasteful number, since it uses less digits than its factorization.

128010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 128010312 is about 11314.1642201269. The cubic root of 128010312 is about 503.9819532465.

The spelling of 128010312 in words is "one hundred twenty-eight million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 173 239 258 344 346 387 478 516 519 692 717 774 956 1032 1038 1384 1434 1548 1557 1912 2076 2151 2868 3096 3114 4152 4302 5736 6228 7439 8604 10277 12456 14878 17208 20554 22317 29756 30831 41108 41347 44634 59512 61662 66951 82216 82694 89268 92493 123324 124041 133902 165388 178536 184986 246648 248082 267804 330776 369972 372123 496164 535608 739944 744246 992328 1488492 1777921 2976984 3555842 5333763 7111684 10667526 14223368 16001289 21335052 32002578 42670104 64005156 128010312