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2130123000 = 233535313397
BaseRepresentation
bin111111011110111…
…0001100011111000
312111110012110102110
41332331301203320
513330302414000
6551211532320
7103533514065
oct17675614370
95443173373
102130123000
119a3442a35
124b545a0a0
1327c406b15
14162c8bc6c
15c7017850
hex7ef718f8

2130123000 has 128 divisors (see below), whose sum is σ = 6771885120. Its totient is φ = 557273600.

The previous prime is 2130122999. The next prime is 2130123019. The reversal of 2130123000 is 3210312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152302 + ... + 165698.

Almost surely, 22130123000 is an apocalyptic number.

2130123000 is a gapful number since it is divisible by the number (20) 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 2130123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385942560).

2130123000 is an abundant number, since it is smaller than the sum of its proper divisors (4641762120).

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

2130123000 is a wasteful number, since it uses less digits than its factorization.

2130123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13474 (or 13460 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2130123000 is about 46153.2555731446. The cubic root of 2130123000 is about 1286.6731172176.

Adding to 2130123000 its reverse (3210312), we get a palindrome (2133333312).

The spelling of 2130123000 in words is "two billion, one hundred thirty million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 125 150 159 200 212 250 265 300 318 375 424 500 530 600 636 750 795 1000 1060 1272 1325 1500 1590 2120 2650 3000 3180 3975 5300 6360 6625 7950 10600 13250 13397 15900 19875 26500 26794 31800 39750 40191 53000 53588 66985 79500 80382 107176 133970 159000 160764 200955 267940 321528 334925 401910 535880 669850 710041 803820 1004775 1339700 1420082 1607640 1674625 2009550 2130123 2679400 2840164 3349250 3550205 4019100 4260246 5023875 5680328 6698500 7100410 8038200 8520492 10047750 10650615 13397000 14200820 17040984 17751025 20095500 21301230 28401640 35502050 40191000 42602460 53253075 71004100 85204920 88755125 106506150 142008200 177510250 213012300 266265375 355020500 426024600 532530750 710041000 1065061500 2130123000