Search a number
-
+
31022341400000 = 2655433607249
BaseRepresentation
bin1110000110110111100111…
…01000111010010111000000
311001211201002022101220012102
413003123303220322113000
513031232223344300000
6145551244503245532
76351201353042216
oct703336350722700
9131751068356172
1031022341400000
119980556a73495
1235904074498a8
1314405181c16b2
147936bca42cb6
1538be67b093d5
hex1c36f3a3a5c0

31022341400000 has 168 divisors, whose sum is σ = 78734464578000. Its totient is φ = 12120353280000.

The previous prime is 31022341399981. The next prime is 31022341400021. The reversal of 31022341400000 is 414322013.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6796376 + ... + 10403624.

It is an arithmetic number, because the mean of its divisors is an integer number (468657527250).

Almost surely, 231022341400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31022341400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39367232289000).

31022341400000 is an abundant number, since it is smaller than the sum of its proper divisors (47712123178000).

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

31022341400000 is an frugal number, since it uses more digits than its factorization.

31022341400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607329 (or 3607299 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31022341400000 its reverse (414322013), we get a palindrome (31022755722013).

The spelling of 31022341400000 in words is "thirty-one trillion, twenty-two billion, three hundred forty-one million, four hundred thousand".