Search a number
-
+
2031331000 = 23535338327
BaseRepresentation
bin111100100010011…
…1010011010111000
312020120022022021111
41321010322122320
513130010043000
6533322250104
7101224012546
oct17104723270
95216268244
102031331000
119526a7056
12488356934
13264ac710a
14153ad2d96
15bd500cba
hex7913a6b8

2031331000 has 64 divisors (see below), whose sum is σ = 4843126080. Its totient is φ = 797180800.

The previous prime is 2031330979. The next prime is 2031331009. The reversal of 2031331000 is 1331302.

It is a super-2 number, since 2×20313310002 = 8252611263122000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031331009) 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, 33837 + ... + 72163.

It is an arithmetic number, because the mean of its divisors is an integer number (75673845).

Almost surely, 22031331000 is an apocalyptic number.

2031331000 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 2031331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421563040).

2031331000 is an abundant number, since it is smaller than the sum of its proper divisors (2811795080).

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

2031331000 is a wasteful number, since it uses less digits than its factorization.

2031331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38401 (or 38387 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2031331000 is about 45070.2895486594. The cubic root of 2031331000 is about 1266.4660885846.

Adding to 2031331000 its reverse (1331302), we get a palindrome (2032662302).

The spelling of 2031331000 in words is "two billion, thirty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 5300 6625 10600 13250 26500 38327 53000 76654 153308 191635 306616 383270 766540 958175 1533080 1916350 2031331 3832700 4062662 4790875 7665400 8125324 9581750 10156655 16250648 19163500 20313310 38327000 40626620 50783275 81253240 101566550 203133100 253916375 406266200 507832750 1015665500 2031331000