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31103311100022 = 23472361123115881
BaseRepresentation
bin1110001001001110011011…
…10011110011100001110110
311002010110002020011211120000
413010213031303303201312
513034044040120200042
6150052355221052130
76360066021116460
oct704471563634166
9132113066154500
1031103311100022
119a01927288547
1235a4043b57046
1314480501b4cb5
147975a04bd130
1538e1062c174c
hex1c49cdcf3876

31103311100022 has 320 divisors, whose sum is σ = 84550356430848. Its totient is φ = 8353616832000.

The previous prime is 31103311099979. The next prime is 31103311100051. The reversal of 31103311100022 is 22000111330113.

31103311100022 is a `hidden beast` number, since 311 + 0 + 331 + 1 + 1 + 0 + 0 + 0 + 22 = 666.

It is a super-2 number, since 2×311033111000222 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31103311099968 and 31103311100004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1958515522 + ... + 1958531402.

Almost surely, 231103311100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31103311100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42275178215424).

31103311100022 is an abundant number, since it is smaller than the sum of its proper divisors (53447045330826).

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

31103311100022 is a wasteful number, since it uses less digits than its factorization.

31103311100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17217 (or 17208 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31103311100022 its reverse (22000111330113), we get a palindrome (53103422430135).

The spelling of 31103311100022 in words is "thirty-one trillion, one hundred three billion, three hundred eleven million, one hundred thousand, twenty-two".