Search a number
-
+
320210120130300 = 2233522359397220141
BaseRepresentation
bin100100011001110101011101…
…0011101101011111011111100
31112222202210021211111122221000
41020303222322131223323330
5313432310311223132200
63053010255354010300
7124306263166244031
oct11063527235537374
91488683254448830
10320210120130300
1193035392a53404
122bab6a49416990
13109898b95664aa
145910376c49388
152704600356300
hex1233aba76befc

320210120130300 has 576 divisors, whose sum is σ = 1095136356787200. Its totient is φ = 80089820236800.

The previous prime is 320210120130221. The next prime is 320210120130371. The reversal of 320210120130300 is 3031021012023.

320210120130300 is a `hidden beast` number, since 3 + 2 + 0 + 210 + 1 + 20 + 130 + 300 = 666.

It is a super-2 number, since 2×3202101201303002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1454458230 + ... + 1454678370.

It is an arithmetic number, because the mean of its divisors is an integer number (1901278397200).

Almost surely, 2320210120130300 is an apocalyptic number.

320210120130300 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 320210120130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547568178393600).

320210120130300 is an abundant number, since it is smaller than the sum of its proper divisors (774926236656900).

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

320210120130300 is a wasteful number, since it uses less digits than its factorization.

320210120130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220643 (or 220630 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 320210120130300 its reverse (3031021012023), we get a palindrome (323241141142323).

The spelling of 320210120130300 in words is "three hundred twenty trillion, two hundred ten billion, one hundred twenty million, one hundred thirty thousand, three hundred".