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2101234000 = 245317232687
BaseRepresentation
bin111110100111110…
…0100100101010000
312102102211202011111
41331033210211100
513300403442000
6544300423104
7103033123435
oct17517444520
95372752144
102101234000
11989101228
124a7847a94
13276430738
1415d0cbb8c
15c470ccba
hex7d3e4950

2101234000 has 160 divisors (see below), whose sum is σ = 5615640576. Its totient is φ = 756377600.

The previous prime is 2101233991. The next prime is 2101234013. The reversal of 2101234000 is 4321012.

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, 780657 + ... + 783343.

Almost surely, 22101234000 is an apocalyptic number.

2101234000 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 2101234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807820288).

2101234000 is an abundant number, since it is smaller than the sum of its proper divisors (3514406576).

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

2101234000 is a wasteful number, since it uses less digits than its factorization.

2101234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2101234000 is about 45839.2190160347. The cubic root of 2101234000 is about 1280.8299467756.

Adding to 2101234000 its reverse (4321012), we get a palindrome (2105555012).

The spelling of 2101234000 in words is "two billion, one hundred one million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 23 25 34 40 46 50 68 80 85 92 100 115 125 136 170 184 200 230 250 272 340 368 391 400 425 460 500 575 680 782 850 920 1000 1150 1360 1564 1700 1840 1955 2000 2125 2300 2687 2875 3128 3400 3910 4250 4600 5374 5750 6256 6800 7820 8500 9200 9775 10748 11500 13435 15640 17000 19550 21496 23000 26870 31280 34000 39100 42992 45679 46000 48875 53740 61801 67175 78200 91358 97750 107480 123602 134350 156400 182716 195500 214960 228395 247204 268700 309005 335875 365432 391000 456790 494408 537400 618010 671750 730864 782000 913580 988816 1050617 1074800 1141975 1236020 1343500 1545025 1827160 2101234 2283950 2472040 2687000 3090050 3654320 4202468 4567900 4944080 5253085 5374000 5709875 6180100 7725125 8404936 9135800 10506170 11419750 12360200 15450250 16809872 18271600 21012340 22839500 24720400 26265425 30900500 42024680 45679000 52530850 61801000 84049360 91358000 105061700 123602000 131327125 210123400 262654250 420246800 525308500 1050617000 2101234000