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113400500535 = 32572320997457
BaseRepresentation
bin110100110011100110…
…0100101000100110111
3101211201002001022011100
41221213030211010313
53324221012004120
6124032342141143
711123112231120
oct1514714450467
9354632038140
10113400500535
1144102698533
1219b897217b3
13a902b697ba
1456baa81047
152e3a8ed490
hex1a67325137

113400500535 has 96 divisors (see below), whose sum is σ = 234551116800. Its totient is φ = 49556035584.

The previous prime is 113400500519. The next prime is 113400500537. The reversal of 113400500535 is 535005004311.

113400500535 is a `hidden beast` number, since 113 + 40 + 0 + 500 + 5 + 3 + 5 = 666.

It is not a de Polignac number, because 113400500535 - 24 = 113400500519 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113400500499 and 113400500508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113400500537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15203527 + ... + 15210983.

It is an arithmetic number, because the mean of its divisors is an integer number (2443240800).

Almost surely, 2113400500535 is an apocalyptic number.

113400500535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113400500535 is an abundant number, since it is smaller than the sum of its proper divisors (121150616265).

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

113400500535 is a wasteful number, since it uses less digits than its factorization.

113400500535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597 (or 9594 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 113400500535 its reverse (535005004311), we get a palindrome (648405504846).

The spelling of 113400500535 in words is "one hundred thirteen billion, four hundred million, five hundred thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2099 2415 6297 7245 7457 10495 14693 18891 22371 31485 37285 44079 48277 52199 67113 73465 94455 111855 132237 144831 156597 171511 220395 241385 260995 335565 337939 434493 469791 514533 661185 724155 782985 857555 1013817 1200577 1543599 1689695 2172465 2348955 2572665 3041451 3601731 5069085 6002885 7717995 10805193 15207255 15652243 18008655 46956729 54025965 78261215 109565701 140870187 234783645 328697103 360001589 547828505 704350935 986091309 1080004767 1643485515 1800007945 2520011123 3240014301 4930456545 5400023835 7560033369 12600055615 16200071505 22680100107 37800166845 113400500535