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1310000110110 = 232529501915751
BaseRepresentation
bin10011000100000010000…
…101110101101000011110
311122020100011022200101200
4103010002011311220132
5132430340012010420
62441450012420330
7163434011132346
oct23040205655036
94566304280350
101310000110110
11465627a019aa
12191a784776a6
13966bcb22a63
1447593739d26
1524121d05b90
hex13102175a1e

1310000110110 has 48 divisors (see below), whose sum is σ = 3523448579040. Its totient is φ = 337287384000.

The previous prime is 1310000110103. The next prime is 1310000110127. The reversal of 1310000110110 is 110110000131.

It is a super-2 number, since 2×13100001101102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1310000110092 and 1310000110101.

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 23 ways as a sum of consecutive naturals, for example, 250955266 + ... + 250960485.

It is an arithmetic number, because the mean of its divisors is an integer number (73405178730).

Almost surely, 21310000110110 is an apocalyptic number.

1310000110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1310000110110 is an abundant number, since it is smaller than the sum of its proper divisors (2213448468930).

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

1310000110110 is a wasteful number, since it uses less digits than its factorization.

1310000110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501915793 (or 501915790 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1310000110110 its reverse (110110000131), we get a palindrome (1420110110241).

The spelling of 1310000110110 in words is "one trillion, three hundred ten billion, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 501915751 1003831502 1505747253 2509578755 3011494506 4517241759 5019157510 7528736265 9034483518 14555556779 15057472530 22586208795 29111113558 43666670337 45172417590 72777783895 87333340674 131000011011 145555567790 218333351685 262000022022 436666703370 655000055055 1310000110110