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113038000075 = 527111319237737
BaseRepresentation
bin110100101000110010…
…1101111111111001011
3101210202210221101000101
41221101211233333023
53323000212000300
6123532352350231
711111121101350
oct1512145577713
9353683841011
10113038000075
1143a37005580
1219aa8245377
13a875a278a0
14568487c627
152e18b95b6a
hex1a5196ffcb

113038000075 has 96 divisors (see below), whose sum is σ = 198102320640. Its totient is φ = 61621171200.

The previous prime is 113038000073. The next prime is 113038000081. The reversal of 113038000075 is 570000830311.

113038000075 is a nontrivial binomial coefficient, being equal to C(475475, 2).

It is not a de Polignac number, because 113038000075 - 21 = 113038000073 is a prime.

It is a super-3 number, since 3×1130380000753 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (113038000073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356607 + ... + 594343.

It is an arithmetic number, because the mean of its divisors is an integer number (2063565840).

Almost surely, 2113038000075 is an apocalyptic number.

113038000075 is the 475474-th triangular number.

113038000075 is the 158492-nd centered nonagonal number.

113038000075 is a deficient number, since it is larger than the sum of its proper divisors (85064320565).

113038000075 is a wasteful number, since it uses less digits than its factorization.

113038000075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237797 (or 237792 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 113038000075 its reverse (570000830311), we get a palindrome (683038830386).

The spelling of 113038000075 in words is "one hundred thirteen billion, thirty-eight million, seventy-five", and thus it is an aban number.

Divisors: 1 5 7 11 13 19 25 35 55 65 77 91 95 133 143 175 209 247 275 325 385 455 475 665 715 1001 1045 1235 1463 1729 1925 2275 2717 3325 3575 5005 5225 6175 7315 8645 13585 19019 25025 36575 43225 67925 95095 237737 475475 1188685 1664159 2615107 3090581 4517003 5943425 8320795 13075535 15452905 18305749 21634067 22585015 31619021 33996391 41603975 49687033 58721039 65377675 77264525 91528745 108170335 112925075 158095105 169981955 237974737 248435165 293605195 347809231 411047273 457643725 540851675 645931429 790475525 849909775 1189873685 1242175825 1468025975 1739046155 2055236365 3229657145 4521520003 5949368425 8695230775 10276181825 16148285725 22607600015 113038000075