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122732305601 = 2914928403681
BaseRepresentation
bin111001001001101101…
…0100101110011000001
3102201210102111010011012
41302103122211303001
54002323432234401
6132214335130305
711603264245643
oct1622332456301
9381712433135
10122732305601
1148061206824
121b952973995
13b75c2a2349
145d24188893
1532d4cbc8bb
hex1c936a5cc1

122732305601 has 8 divisors (see below), whose sum is σ = 127816569000. Its totient is φ = 117704849920.

The previous prime is 122732305573. The next prime is 122732305603. The reversal of 122732305601 is 106503237221.

It can be written as a sum of positive squares in 4 ways, for example, as 23103696001 + 99628609600 = 151999^2 + 315640^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122732305601 - 26 = 122732305537 is a prime.

It is a super-3 number, since 3×1227323056013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122732305603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14197520 + ... + 14206161.

It is an arithmetic number, because the mean of its divisors is an integer number (15977071125).

Almost surely, 2122732305601 is an apocalyptic number.

It is an amenable number.

122732305601 is a deficient number, since it is larger than the sum of its proper divisors (5084263399).

122732305601 is a wasteful number, since it uses less digits than its factorization.

122732305601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28403859.

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 122732305601 in words is "one hundred twenty-two billion, seven hundred thirty-two million, three hundred five thousand, six hundred one".

Divisors: 1 29 149 4321 28403681 823706749 4232148469 122732305601