Search a number
-
+
212331013120 = 21051931181389
BaseRepresentation
bin1100010110111111101…
…0100010010000000000
3202022001201021001111001
43011233322202100000
511434323214404440
6241313222301344
721224521555402
oct3055772422000
9668051231431
10212331013120
118205a359936
1235199287854
131703ac1c945
14a3c3a66b72
1557cacccb9a
hex316fea2400

212331013120 has 352 divisors, whose sum is σ = 557936870400. Its totient is φ = 77237452800.

The previous prime is 212331013099. The next prime is 212331013121. The reversal of 212331013120 is 21310133212.

It is a super-2 number, since 2×2123310131202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (212331013121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545837886 + ... + 545838274.

Almost surely, 2212331013120 is an apocalyptic number.

212331013120 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 212331013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278968435200).

212331013120 is an abundant number, since it is smaller than the sum of its proper divisors (345605857280).

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

212331013120 is a wasteful number, since it uses less digits than its factorization.

212331013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 212331013120 its reverse (21310133212), we get a palindrome (233641146332).

The spelling of 212331013120 in words is "two hundred twelve billion, three hundred thirty-one million, thirteen thousand, one hundred twenty".