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122231031000 = 233531310972857
BaseRepresentation
bin111000111010110001…
…0011000010011011000
3102200111111020201200020
41301311202120103120
54000312120443000
6132052511110440
711554666422651
oct1616542302330
9380444221606
10122231031000
11479242597a1
121b832b12420
13b6ac492060
145cb7780528
1532a5ca1ba0
hex1c758984d8

122231031000 has 256 divisors, whose sum is σ = 411214527360. Its totient is φ = 30049689600.

The previous prime is 122231030993. The next prime is 122231031029. The reversal of 122231031000 is 130132221.

It is a super-2 number, since 2×1222310310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42781572 + ... + 42784428.

Almost surely, 2122231031000 is an apocalyptic number.

122231031000 is a gapful number since it is divisible by the number (10) 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 122231031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205607263680).

122231031000 is an abundant number, since it is smaller than the sum of its proper divisors (288983496360).

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

122231031000 is a wasteful number, since it uses less digits than its factorization.

122231031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122231031000 its reverse (130132221), we get a palindrome (122361163221).

The spelling of 122231031000 in words is "one hundred twenty-two billion, two hundred thirty-one million, thirty-one thousand".