Search a number
-
+
3133023000 = 2335343149163
BaseRepresentation
bin1011101010111110…
…0010001100011000
322002100100001120220
42322233202030120
522404023214000
61234515320040
7140432153562
oct27257421430
98070301526
103133023000
111368567608
127352b0020
133ac11ac83
1421a152332
151350bd1a0
hexbabe2318

3133023000 has 256 divisors, whose sum is σ = 10131264000. Its totient is φ = 805593600.

The previous prime is 3133022999. The next prime is 3133023053. The reversal of 3133023000 is 3203313.

3133023000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19220919 + ... + 19221081.

It is an arithmetic number, because the mean of its divisors is an integer number (39575250).

Almost surely, 23133023000 is an apocalyptic number.

3133023000 is a gapful number since it is divisible by the number (30) 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 3133023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065632000).

3133023000 is an abundant number, since it is smaller than the sum of its proper divisors (6998241000).

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

3133023000 is a wasteful number, since it uses less digits than its factorization.

3133023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 3133023000 is about 55973.4133316881. The cubic root of 3133023000 is about 1463.2589675951.

Adding to 3133023000 its reverse (3203313), we get a palindrome (3136226313).

The spelling of 3133023000 in words is "three billion, one hundred thirty-three million, twenty-three thousand".