Search a number
-
+
113535530042532 = 223131275779931793
BaseRepresentation
bin11001110100001010001100…
…111100000000010010100100
3112212222220001022001221101220
4121310022030330000102210
5104340131231142330112
61041245300310420340
732625446163160203
oct3164121474002244
9485886038057356
10113535530042532
11331a3169931184
1210897b433616b0
134b4747bc16320
142007212add23a
15d1d4bde1998c
hex67428cf004a4

113535530042532 has 96 divisors (see below), whose sum is σ = 288039188140032. Its totient is φ = 34598867337216.

The previous prime is 113535530042503. The next prime is 113535530042633. The reversal of 113535530042532 is 235240035535311.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6465628 + ... + 16397420.

It is an arithmetic number, because the mean of its divisors is an integer number (3000408209792).

Almost surely, 2113535530042532 is an apocalyptic number.

113535530042532 is a gapful number since it is divisible by the number (12) 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 113535530042532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144019594070016).

113535530042532 is an abundant number, since it is smaller than the sum of its proper divisors (174503658097500).

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

113535530042532 is a wasteful number, since it uses less digits than its factorization.

113535530042532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9932517 (or 9932515 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

Adding to 113535530042532 its reverse (235240035535311), we get a palindrome (348775565577843).

The spelling of 113535530042532 in words is "one hundred thirteen trillion, five hundred thirty-five billion, five hundred thirty million, forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 577 762 1154 1524 1651 1731 2308 3302 3462 4953 6604 6924 7501 9906 15002 19812 22503 30004 45006 73279 90012 146558 219837 293116 439674 879348 952627 1905254 2857881 3810508 5715762 9931793 11431524 19863586 29795379 39727172 59590758 119181516 129113309 258226618 387339927 516453236 774679854 1261337711 1549359708 2522675422 3784013133 5045350844 5730644561 7568026266 11461289122 15136052532 16397390243 17191933683 22922578244 32794780486 34383867366 49192170729 65589560972 68767734732 74498379293 98384341458 148996758586 196768682916 223495137879 297993517172 446990275758 727791859247 893980551516 1455583718494 2183375577741 2911167436988 4366751155482 8733502310964 9461294170211 18922588340422 28383882510633 37845176680844 56767765021266 113535530042532