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111315325440 = 2935111777509
BaseRepresentation
bin110011110101011101…
…0010001001000000000
3101122022202102102200010
41213222322101020000
53310433210403230
6123045413424520
711020332440334
oct1475272211000
9348282372603
10111315325440
1143232665630
12196a733b140
13a65cb6c697
14555db737c4
152d678139b0
hex19eae91200

111315325440 has 320 divisors, whose sum is σ = 411053512320. Its totient is φ = 25397821440.

The previous prime is 111315325421. The next prime is 111315325447. The reversal of 111315325440 is 44523513111.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1113153254402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 111315325398 and 111315325407.

It is not an unprimeable number, because it can be changed into a prime (111315325447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1397406 + ... + 1474914.

It is an arithmetic number, because the mean of its divisors is an integer number (1284542226).

Almost surely, 2111315325440 is an apocalyptic number.

111315325440 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 111315325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205526756160).

111315325440 is an abundant number, since it is smaller than the sum of its proper divisors (299738186880).

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

111315325440 is a wasteful number, since it uses less digits than its factorization.

111315325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77563 (or 77547 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 111315325440 its reverse (44523513111), we get a palindrome (155838838551).

The spelling of 111315325440 in words is "one hundred eleven billion, three hundred fifteen million, three hundred twenty-five thousand, four hundred forty".