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2001121300 = 2252312832281
BaseRepresentation
bin111011101000110…
…1011000000010100
312011110110111100201
41313101223000110
513044241340200
6530322550244
7100406151613
oct16721530024
95143414321
102001121300
11937643062
1247a208384
1325b77a859
1414daab87a
15baa34c6a
hex7746b014

2001121300 has 72 divisors (see below), whose sum is σ = 4500323072. Its totient is φ = 771552000.

The previous prime is 2001121261. The next prime is 2001121313. The reversal of 2001121300 is 31211002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 876160 + ... + 878440.

Almost surely, 22001121300 is an apocalyptic number.

2001121300 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 2001121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250161536).

2001121300 is an abundant number, since it is smaller than the sum of its proper divisors (2499201772).

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

2001121300 is a wasteful number, since it uses less digits than its factorization.

2001121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2001121300 is about 44733.8943084547. The cubic root of 2001121300 is about 1260.1564641509.

Adding to 2001121300 its reverse (31211002), we get a palindrome (2032332302).

The spelling of 2001121300 in words is "two billion, one million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 283 310 566 620 775 1132 1415 1550 2281 2830 3100 4562 5660 7075 8773 9124 11405 14150 17546 22810 28300 35092 43865 45620 57025 70711 87730 114050 141422 175460 219325 228100 282844 353555 438650 645523 707110 877300 1291046 1414220 1767775 2582092 3227615 3535550 6455230 7071100 12910460 16138075 20011213 32276150 40022426 64552300 80044852 100056065 200112130 400224260 500280325 1000560650 2001121300