Search a number
-
+
233211141112332 = 223101207539271837
BaseRepresentation
bin110101000001101010110011…
…001110010100001000001100
31010120201202201101211220222010
4311001222303032110020030
5221031412404111043312
62143555415203021220
7100056643324063155
oct6501526316241014
91116652641756863
10233211141112332
11683433203a0929
12221a5a6b36a810
13a018940781246
14418369d8ac92c
151be6554b9693c
hexd41ab339420c

233211141112332 has 48 divisors (see below), whose sum is σ = 549573585033312. Its totient is φ = 76963656268800.

The previous prime is 233211141112297. The next prime is 233211141112337.

233211141112332 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 233211141112332.

It is not an unprimeable number, because it can be changed into a prime (233211141112337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20516718 + ... + 29788554.

It is an arithmetic number, because the mean of its divisors is an integer number (11449449688194).

Almost surely, 2233211141112332 is an apocalyptic number.

It is an amenable number.

233211141112332 is an abundant number, since it is smaller than the sum of its proper divisors (316362443920980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233211141112332 is a wasteful number, since it uses less digits than its factorization.

233211141112332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9292698 (or 9292696 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The spelling of 233211141112332 in words is "two hundred thirty-three trillion, two hundred eleven billion, one hundred forty-one million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 20753 41506 62259 83012 124518 249036 2096053 4192106 6288159 8384212 9271837 12576318 18543674 25152636 27815511 37087348 55631022 111262044 936455537 1872911074 2809366611 3745822148 5618733222 11237466444 192418433261 384836866522 577255299783 769673733044 1154510599566 2309021199132 19434261759361 38868523518722 58302785278083 77737047037444 116605570556166 233211141112332