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2130310128 = 243437114537
BaseRepresentation
bin111111011111001…
…1111001111110000
312111110112222010010
41332332133033300
513330324411003
6551215534520
7103535223462
oct17676371760
95443488103
102130310128
119a3560591
124b552a440
1327c47104b
14162cda132
15c7053003
hex7ef9f3f0

2130310128 has 80 divisors (see below), whose sum is σ = 5710991616. Its totient is φ = 683773440.

The previous prime is 2130310123. The next prime is 2130310181. The reversal of 2130310128 is 8210130312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130310123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139276 + ... + 153812.

Almost surely, 22130310128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130310128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855495808).

2130310128 is an abundant number, since it is smaller than the sum of its proper divisors (3580681488).

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

2130310128 is a wasteful number, since it uses less digits than its factorization.

2130310128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14662 (or 14656 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2130310128 is about 46155.2827745644. The cubic root of 2130310128 is about 1286.7107935266.

The spelling of 2130310128 in words is "two billion, one hundred thirty million, three hundred ten thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 71 86 129 142 172 213 258 284 344 426 516 568 688 852 1032 1136 1704 2064 3053 3408 6106 9159 12212 14537 18318 24424 29074 36636 43611 48848 58148 73272 87222 116296 146544 174444 232592 348888 625091 697776 1032127 1250182 1875273 2064254 2500364 3096381 3750546 4128508 5000728 6192762 7501092 8257016 10001456 12385524 15002184 16514032 24771048 30004368 44381461 49542096 88762922 133144383 177525844 266288766 355051688 532577532 710103376 1065155064 2130310128