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112402033120 = 255131919114891
BaseRepresentation
bin110100010101110101…
…1101110100111100000
3101202010111020220100201
41220223223232213200
53320144410024440
6123345313354544
711056266342316
oct1505353564740
9352114226321
10112402033120
1143740021153
121994b268a54
13a7a4048090
1456242120b6
152dcce2119a
hex1a2baee9e0

112402033120 has 192 divisors, whose sum is σ = 302624501760. Its totient is φ = 39109478400.

The previous prime is 112402033069. The next prime is 112402033127. The reversal of 112402033120 is 21330204211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112402033127) 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, 7540875 + ... + 7555765.

It is an arithmetic number, because the mean of its divisors is an integer number (1576169280).

Almost surely, 2112402033120 is an apocalyptic number.

112402033120 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 112402033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151312250880).

112402033120 is an abundant number, since it is smaller than the sum of its proper divisors (190222468640).

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

112402033120 is a wasteful number, since it uses less digits than its factorization.

112402033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15129 (or 15121 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 112402033120 its reverse (21330204211), we get a palindrome (133732237331).

The spelling of 112402033120 in words is "one hundred twelve billion, four hundred two million, thirty-three thousand, one hundred twenty".