Search a number
-
+
32133200230301 = 23471033178316139
BaseRepresentation
bin1110100111001100101111…
…11111000011011110011101
311012202220101222021101202012
413103212113333003132131
513202432243224332201
6152201442143241005
76524355441231152
oct723462777033635
9135686358241665
1032133200230301
11a2696829013a5
12372b7678a9165
1314c11bc897731
147d1380350229
153aacd1a615bb
hex1d3997fc379d

32133200230301 has 32 divisors (see below), whose sum is σ = 34298205511680. Its totient is φ = 30034307343744.

The previous prime is 32133200230291. The next prime is 32133200230343. The reversal of 32133200230301 is 10303200233123.

It is a de Polignac number, because none of the positive numbers 2k-32133200230301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32133200238301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1991019890 + ... + 1991036028.

It is an arithmetic number, because the mean of its divisors is an integer number (1071818922240).

Almost surely, 232133200230301 is an apocalyptic number.

It is an amenable number.

32133200230301 is a deficient number, since it is larger than the sum of its proper divisors (2165005281379).

32133200230301 is a wasteful number, since it uses less digits than its factorization.

32133200230301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19025.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 32133200230301 its reverse (10303200233123), we get a palindrome (42436400463424).

The spelling of 32133200230301 in words is "thirty-two trillion, one hundred thirty-three billion, two hundred million, two hundred thirty thousand, three hundred one".

Divisors: 1 23 47 1033 1081 1783 16139 23759 41009 48551 83801 371197 758533 1116673 1841839 1927423 16671587 17446259 28775837 42362297 86566433 383446501 661844251 783564589 1352464339 1991027959 18021985547 29725439621 31106679797 683685111283 1397095662187 32133200230301