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231331434000 = 24353297916829
BaseRepresentation
bin1101011101110001101…
…1011000111000010000
3211010002212220102221220
43113130123120320100
512242231321342000
6254134443245040
722466415513432
oct3273433307020
9733085812856
10231331434000
118a11a622307
1238a00519780
1318a784a6b34
14b2a72b0652
15603ddec1a0
hex35dc6d8e10

231331434000 has 320 divisors, whose sum is σ = 781342848000. Its totient is φ = 58803763200.

The previous prime is 231331433947. The next prime is 231331434011. The reversal of 231331434000 is 434133132.

231331434000 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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13737586 + ... + 13754414.

It is an arithmetic number, because the mean of its divisors is an integer number (2441696400).

Almost surely, 2231331434000 is an apocalyptic number.

231331434000 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 231331434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390671424000).

231331434000 is an abundant number, since it is smaller than the sum of its proper divisors (550011414000).

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

231331434000 is a wasteful number, since it uses less digits than its factorization.

231331434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16963 (or 16947 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 231331434000 its reverse (434133132), we get a palindrome (231765567132).

The spelling of 231331434000 in words is "two hundred thirty-one billion, three hundred thirty-one million, four hundred thirty-four thousand".