Search a number
-
+
3201013500 = 2235323314173
BaseRepresentation
bin1011111011001011…
…1001011011111100
322021002021100000120
42332302321123330
523023424413000
61245344454540
7142216110606
oct27662713374
98232240016
103201013500
1113a2985903
1275401a450
133c0234c39
142251b0176
1513b04d6a0
hexbecb96fc

3201013500 has 384 divisors, whose sum is σ = 10426171392. Its totient is φ = 760320000.

The previous prime is 3201013481. The next prime is 3201013511. The reversal of 3201013500 is 53101023.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3201013500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43849464 + ... + 43849536.

It is an arithmetic number, because the mean of its divisors is an integer number (27151488).

Almost surely, 23201013500 is an apocalyptic number.

3201013500 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 3201013500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213085696).

3201013500 is an abundant number, since it is smaller than the sum of its proper divisors (7225157892).

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

3201013500 is a wasteful number, since it uses less digits than its factorization.

3201013500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3201013500 is about 56577.4999447660. The cubic root of 3201013500 is about 1473.7681566148.

Adding to 3201013500 its reverse (53101023), we get a palindrome (3254114523).

The spelling of 3201013500 in words is "three billion, two hundred one million, thirteen thousand, five hundred".