Search a number
-
+
323213331000 = 23353735394349
BaseRepresentation
bin1001011010000010000…
…01000000101000111000
31010220021021220102110010
410231001001000220320
520243420103043000
6404252051221520
732231345661240
oct4550101005070
91126237812403
10323213331000
1111508a55447a
12527835a78a0
132462c161b21
14119020c2b20
15861a5acd50
hex4b41040a38

323213331000 has 256 divisors, whose sum is σ = 1153077120000. Its totient is φ = 73839475200.

The previous prime is 323213330963. The next prime is 323213331019. The reversal of 323213331000 is 133312323.

It is a super-2 number, since 2×3232133310002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 74316826 + ... + 74321174.

It is an arithmetic number, because the mean of its divisors is an integer number (4504207500).

Almost surely, 2323213331000 is an apocalyptic number.

323213331000 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 323213331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576538560000).

323213331000 is an abundant number, since it is smaller than the sum of its proper divisors (829863789000).

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

323213331000 is a wasteful number, since it uses less digits than its factorization.

323213331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7919 (or 7905 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 323213331000 its reverse (133312323), we get a palindrome (323346643323).

The spelling of 323213331000 in words is "three hundred twenty-three billion, two hundred thirteen million, three hundred thirty-one thousand".