Search a number
-
+
113545211235540 = 22357653859748157
BaseRepresentation
bin11001110100010011001101…
…111110110100110011010100
3112220000211000222221111112220
4121310103031332310303110
5104340311043034014130
61041253541104142340
732626241120022540
oct3164231576646324
9486024028844486
10113545211235540
11331a7287696837
12108999a56079b0
134b4836284c5b6
142007890794a20
15d1d888d01410
hex6744cdfb4cd4

113545211235540 has 192 divisors, whose sum is σ = 363950985936384. Its totient is φ = 25909894305792.

The previous prime is 113545211235499. The next prime is 113545211235553. The reversal of 113545211235540 is 45532112545311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 113545211235492 and 113545211235501.

It is a congruent number.

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, 2357789142 + ... + 2357837298.

It is an arithmetic number, because the mean of its divisors is an integer number (1895578051752).

Almost surely, 2113545211235540 is an apocalyptic number.

113545211235540 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 113545211235540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181975492968192).

113545211235540 is an abundant number, since it is smaller than the sum of its proper divisors (250405774700844).

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

113545211235540 is a wasteful number, since it uses less digits than its factorization.

113545211235540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57426 (or 57424 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 113545211235540 in words is "one hundred thirteen trillion, five hundred forty-five billion, two hundred eleven million, two hundred thirty-five thousand, five hundred forty".