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2137109128 = 237211495619
BaseRepresentation
bin111111101100001…
…1011001010001000
312111221100101120221
41333120123022020
513334044443003
6552021355424
7103650061600
oct17730331210
95457311527
102137109128
119a73847a0
124b7868b74
132809b191b
14163b89c00
15c79477bd
hex7f61b288

2137109128 has 48 divisors (see below), whose sum is σ = 5085061200. Its totient is φ = 832638240.

The previous prime is 2137109119. The next prime is 2137109131. The reversal of 2137109128 is 8219017312.

It is a junction number, because it is equal to n+sod(n) for n = 2137109093 and 2137109102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243498 + ... + 252121.

It is an arithmetic number, because the mean of its divisors is an integer number (105938775).

Almost surely, 22137109128 is an apocalyptic number.

2137109128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2137109128 is an abundant number, since it is smaller than the sum of its proper divisors (2947952072).

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

2137109128 is a wasteful number, since it uses less digits than its factorization.

2137109128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495650 (or 495639 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 2137109128 is about 46228.8776415781. The cubic root of 2137109128 is about 1288.0782088616.

The spelling of 2137109128 in words is "two billion, one hundred thirty-seven million, one hundred nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2156 4312 495619 991238 1982476 3469333 3964952 5451809 6938666 10903618 13877332 21807236 24285331 27754664 38162663 43614472 48570662 76325326 97141324 152650652 194282648 267138641 305301304 534277282 1068554564 2137109128