Search a number
-
+
232554134132001 = 33112321480171177
BaseRepresentation
bin110100111000000110111010…
…100011100101010100100001
31010111101221212110022012212000
4310320012322203211110201
5220440131331314211001
62142333521103154213
766661324143641253
oct6470067243452441
91114357773265760
10232554134132001
116810a722053250
12220ba670ba5969
139c9b9b74a5b16
14415d974481cd3
151bd440023ba86
hexd381ba8e5521

232554134132001 has 48 divisors (see below), whose sum is σ = 392896637488320. Its totient is φ = 134813990710080.

The previous prime is 232554134131967. The next prime is 232554134132039. The reversal of 232554134132001 is 100231431455232.

232554134132001 is a `hidden beast` number, since 2 + 3 + 25 + 5 + 4 + 13 + 413 + 200 + 1 = 666.

It is not a de Polignac number, because 232554134132001 - 26 = 232554134131937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232554134132701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739928476 + ... + 740242701.

It is an arithmetic number, because the mean of its divisors is an integer number (8185346614340).

Almost surely, 2232554134132001 is an apocalyptic number.

It is an amenable number.

232554134132001 is a deficient number, since it is larger than the sum of its proper divisors (160342503356319).

232554134132001 is a wasteful number, since it uses less digits than its factorization.

232554134132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480171243 (or 1480171214 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 232554134132001 its reverse (100231431455232), we get a palindrome (332785565587233).

The spelling of 232554134132001 in words is "two hundred thirty-two trillion, five hundred fifty-four billion, one hundred thirty-four million, one hundred thirty-two thousand, one".

Divisors: 1 3 9 11 23 27 33 69 99 207 253 297 529 621 759 1587 2277 4761 5819 6831 14283 17457 52371 157113 1480171177 4440513531 13321540593 16281882947 34043937071 39964621779 48845648841 102131811213 146536946523 306395433639 374483307781 439610839569 783010552633 919186300917 1123449923343 2349031657899 3370349770029 7047094973697 8613116078963 10111049310087 21141284921091 25839348236889 77518044710667 232554134132001