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123041132201 = 13611132774957
BaseRepresentation
bin111001010010111010…
…0101010111010101001
3102202120221121010121102
41302211310222322221
54003442012212301
6132305130251145
711614034240021
oct1624564527251
9382527533542
10123041132201
11481aa569819
121ba1a286ab5
13b7ab270890
145d531b8a81
153301e71b6b
hex1ca5d2aea9

123041132201 has 32 divisors (see below), whose sum is σ = 136387916448. Its totient is φ = 110303907840.

The previous prime is 123041132191. The next prime is 123041132209. The reversal of 123041132201 is 102231140321.

It can be written as a sum of positive squares in 16 ways, for example, as 107075546176 + 15965586025 = 327224^2 + 126355^2 .

It is a cyclic number.

It is not a de Polignac number, because 123041132201 - 214 = 123041115817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123041132209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24819215 + ... + 24824171.

It is an arithmetic number, because the mean of its divisors is an integer number (4262122389).

Almost surely, 2123041132201 is an apocalyptic number.

It is an amenable number.

123041132201 is a deficient number, since it is larger than the sum of its proper divisors (13346784247).

123041132201 is a wasteful number, since it uses less digits than its factorization.

123041132201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 123041132201 its reverse (102231140321), we get a palindrome (225272272522).

The spelling of 123041132201 in words is "one hundred twenty-three billion, forty-one million, one hundred thirty-two thousand, two hundred one".

Divisors: 1 13 61 113 277 793 1469 3601 4957 6893 16897 31301 64441 89609 219661 302377 406913 560141 1373089 1909361 3930901 7281833 17850157 24821693 34168601 83758429 155159057 444191813 1088859577 2017067741 9464702477 123041132201