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113722049529 = 321149292
BaseRepresentation
bin110100111101001011…
…1001100001111111001
3101212112111002200110100
41221322113030033321
53330400321041104
6124124310110013
711134065320544
oct1517227141771
9355474080410
10113722049529
1144258150000
121a05934b309
13a954670a8a
14570b66385b
152e58c67139
hex1a7a5cc3f9

113722049529 has 45 divisors (see below), whose sum is σ = 180885288415. Its totient is φ = 68848264320.

The previous prime is 113722049509. The next prime is 113722049531. The reversal of 113722049529 is 925940227311.

The square root of 113722049529 is 337227.

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

113722049529 is a `hidden beast` number, since 1 + 13 + 72 + 2 + 0 + 49 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2192767929 + 111529281600 = 46827^2 + 333960^2 .

It is not a de Polignac number, because 113722049529 - 219 = 113721525241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113722049509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 122412937 + ... + 122413865.

Almost surely, 2113722049529 is an apocalyptic number.

113722049529 is the 337227-th square number.

113722049529 is the 168614-th centered octagonal number.

It is an amenable number.

113722049529 is a deficient number, since it is larger than the sum of its proper divisors (67163238886).

113722049529 is an frugal number, since it uses more digits than its factorization.

113722049529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 113722049529 in words is "one hundred thirteen billion, seven hundred twenty-two million, forty-nine thousand, five hundred twenty-nine".

Divisors: 1 3 9 11 33 99 121 363 929 1089 1331 2787 3993 8361 10219 11979 14641 30657 43923 91971 112409 131769 337227 863041 1011681 1236499 2589123 3709497 7767369 9493451 11128491 13601489 28480353 40804467 85441059 104427961 122413401 313283883 939851649 1148707571 3446122713 10338368139 12635783281 37907349843 113722049529