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113008251889 = 13219213612
BaseRepresentation
bin110100100111111010…
…0010001001111110001
3101210200201222000011201
41221033310101033301
53322420103030024
6123525411011201
711110310202061
oct1511764211761
9353621860151
10113008251889
1143a212372a5
1219a9a299b01
13a86c810400
1456809373a1
152e1626b744
hex1a4fd113f1

113008251889 has 27 divisors (see below), whose sum is σ = 129244339809. Its totient is φ = 98752417920.

The previous prime is 113008251821. The next prime is 113008251899. The reversal of 113008251889 is 988152800311.

The square root of 113008251889 is 336167.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 52635830625 + 60372421264 = 229425^2 + 245708^2 .

It is not a de Polignac number, because 113008251889 - 213 = 113008243697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113008251899) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83032569 + ... + 83033929.

Almost surely, 2113008251889 is an apocalyptic number.

113008251889 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

113008251889 is the 336167-th square number.

113008251889 is the 168084-th centered octagonal number.

It is an amenable number.

113008251889 is a deficient number, since it is larger than the sum of its proper divisors (16236087920).

113008251889 is an frugal number, since it uses more digits than its factorization.

113008251889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The spelling of 113008251889 in words is "one hundred thirteen billion, eight million, two hundred fifty-one thousand, eight hundred eighty-nine".

Divisors: 1 13 19 169 247 361 1361 3211 4693 17693 25859 61009 230009 336167 491321 1852321 4370171 6387173 24080173 35194099 83033249 313042249 457523287 668687881 5947802731 8692942453 113008251889