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231330231000 = 233253114914759
BaseRepresentation
bin1101011101110001011…
…0110011001011011000
3211010002210122022202100
43113130112303023120
512242231014343000
6254134401403400
722466402343231
oct3273426631330
9733083568670
10231330231000
118a1199804a0
1238a00039560
1318a781753bb
14b2a707a088
15603dc60a00
hex35dc5b32d8

231330231000 has 384 divisors, whose sum is σ = 854894476800. Its totient is φ = 55954080000.

The previous prime is 231330230987. The next prime is 231330231017. The reversal of 231330231000 is 132033132.

231330231000 is a `hidden beast` number, since 23 + 1 + 330 + 2 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×2313302310002 (a number of 24 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 95 ways as a sum of consecutive naturals, for example, 48606621 + ... + 48611379.

It is an arithmetic number, because the mean of its divisors is an integer number (2226287700).

Almost surely, 2231330231000 is an apocalyptic number.

231330231000 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 231330231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427447238400).

231330231000 is an abundant number, since it is smaller than the sum of its proper divisors (623564245800).

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

231330231000 is a wasteful number, since it uses less digits than its factorization.

231330231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 231330231000 its reverse (132033132), we get a palindrome (231462264132).

The spelling of 231330231000 in words is "two hundred thirty-one billion, three hundred thirty million, two hundred thirty-one thousand".