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231001323201 = 331119291411583
BaseRepresentation
bin1101011100100011000…
…0000111011011000001
3211002020212202002002000
43113020300013123001
512241042314320301
6254042012014213
722455266564325
oct3271060073301
9732225662060
10231001323201
1189a70252170
1238929a61369
1318a24c957bc
14b2754dd985
15601ee41786
hex35c8c076c1

231001323201 has 64 divisors (see below), whose sum is σ = 406536192000. Its totient is φ = 128058719040.

The previous prime is 231001323191. The next prime is 231001323251. The reversal of 231001323201 is 102323100132.

231001323201 is a `hidden beast` number, since 2 + 310 + 0 + 1 + 32 + 320 + 1 = 666.

It is not a de Polignac number, because 231001323201 - 25 = 231001323169 is a prime.

It is a super-2 number, since 2×2310013232012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231001323251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542145 + ... + 869438.

It is an arithmetic number, because the mean of its divisors is an integer number (6352128000).

Almost surely, 2231001323201 is an apocalyptic number.

It is an amenable number.

231001323201 is a deficient number, since it is larger than the sum of its proper divisors (175534868799).

231001323201 is a wasteful number, since it uses less digits than its factorization.

231001323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411651 (or 1411645 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231001323201 its reverse (102323100132), we get a palindrome (333324423333).

The spelling of 231001323201 in words is "two hundred thirty-one billion, one million, three hundred twenty-three thousand, two hundred one".

Divisors: 1 3 9 11 19 27 29 33 57 87 99 171 209 261 297 319 513 551 627 783 957 1653 1881 2871 4959 5643 6061 8613 14877 18183 54549 163647 1411583 4234749 12704247 15527413 26820077 38112741 40935907 46582239 80460231 122807721 139746717 241380693 295020847 368423163 419240151 450294977 724142079 777782233 885062541 1105269489 1350884931 2333346699 2655187623 4052654793 7000040097 7965562869 8555604563 12157964379 21000120291 25666813689 77000441067 231001323201