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31101130012320 = 25335101120159351
BaseRepresentation
bin1110001001001010010111…
…10011100111011010100000
311002010020110020002002201000
413010211023303213122200
513034030103240343240
6150051354544512000
76356660665146264
oct704451363473240
9132106406062630
1031101130012320
119a00a080a6025
1235a373561b600
131447a93375964
147974349660a4
1538e029a8d430
hex1c494bce76a0

31101130012320 has 384 divisors, whose sum is σ = 110025104232960. Its totient is φ = 8204544000000.

The previous prime is 31101130012307. The next prime is 31101130012333. The reversal of 31101130012320 is 2321003110113.

31101130012320 is a `hidden beast` number, since 31 + 1 + 0 + 1 + 1 + 300 + 12 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (31101130012307) and next prime (31101130012333).

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 = 31101130012293 and 31101130012302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523990645 + ... + 524049995.

It is an arithmetic number, because the mean of its divisors is an integer number (286523708940).

Almost surely, 231101130012320 is an apocalyptic number.

31101130012320 is a gapful number since it is divisible by the number (30) 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 31101130012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55012552116480).

31101130012320 is an abundant number, since it is smaller than the sum of its proper divisors (78923974220640).

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

31101130012320 is a wasteful number, since it uses less digits than its factorization.

31101130012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60677 (or 60663 counting only the distinct ones).

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

Adding to 31101130012320 its reverse (2321003110113), we get a palindrome (33422133122433).

The spelling of 31101130012320 in words is "thirty-one trillion, one hundred one billion, one hundred thirty million, twelve thousand, three hundred twenty".