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1331112113120 = 25548717083061
BaseRepresentation
bin10011010111101100011…
…101101111001111100000
311201020211111021120000002
4103113230131233033200
5133302104200104440
62455300544115132
7165112125163466
oct23275435571740
94636744246002
101331112113120
114735810a4279
12195b8a905aa8
13986a59c182a
14485d75a6836
152495a4c9115
hex135ec76f3e0

1331112113120 has 48 divisors (see below), whose sum is σ = 3151209948768. Its totient is φ = 531351498240.

The previous prime is 1331112113081. The next prime is 1331112113143. The reversal of 1331112113120 is 213112111331.

It is a super-2 number, since 2×13311121131202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1331112113092 and 1331112113101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8463611 + ... + 8619450.

It is an arithmetic number, because the mean of its divisors is an integer number (65650207266).

Almost surely, 21331112113120 is an apocalyptic number.

1331112113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331112113120 is an abundant number, since it is smaller than the sum of its proper divisors (1820097835648).

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

1331112113120 is a wasteful number, since it uses less digits than its factorization.

1331112113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17083563 (or 17083555 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1331112113120 its reverse (213112111331), we get a palindrome (1544224224451).

The spelling of 1331112113120 in words is "one trillion, three hundred thirty-one billion, one hundred twelve million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 487 974 1948 2435 3896 4870 7792 9740 15584 19480 38960 77920 17083061 34166122 68332244 85415305 136664488 170830610 273328976 341661220 546657952 683322440 1366644880 2733289760 8319450707 16638901414 33277802828 41597253535 66555605656 83194507070 133111211312 166389014140 266222422624 332778028280 665556056560 1331112113120