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332231311013130 = 2325171491457346629
BaseRepresentation
bin100101110001010011010000…
…1010001101011010100001010
31121120100000002021222011002200
41023202212201101223110022
5322021234211104410010
63134332542434141030
7126656630412640044
oct11342464121532412
91546300067864080
10332231311013130
119694a5648a6111
12313187a1a21776
131134c3802823a9
145c0811cd48a94
15286217382bcc0
hex12e29a146b50a

332231311013130 has 96 divisors (see below), whose sum is σ = 920751600834000. Its totient is φ = 82823923562496.

The previous prime is 332231311013089. The next prime is 332231311013137. The reversal of 332231311013130 is 31310113132233.

332231311013130 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 31 + 311 + 0 + 1 + 313 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 114560266978089 + 217671044035041 = 10703283^2 + 14753679^2 .

It is a super-2 number, since 2×3322313110131302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332231311013094 and 332231311013103.

It is not an unprimeable number, because it can be changed into a prime (332231311013137) 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, 728445345 + ... + 728901284.

Almost surely, 2332231311013130 is an apocalyptic number.

332231311013130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332231311013130 is an abundant number, since it is smaller than the sum of its proper divisors (588520289820870).

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

332231311013130 is a wasteful number, since it uses less digits than its factorization.

332231311013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457346808 (or 1457346805 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 332231311013130 its reverse (31310113132233), we get a palindrome (363541424145363).

The spelling of 332231311013130 in words is "three hundred thirty-two trillion, two hundred thirty-one billion, three hundred eleven million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 149 153 170 255 298 306 447 510 745 765 894 1341 1490 1530 2235 2533 2682 4470 5066 6705 7599 12665 13410 15198 22797 25330 37995 45594 75990 113985 227970 1457346629 2914693258 4372039887 7286733145 8744079774 13116119661 14573466290 21860199435 24774892693 26232239322 43720398870 49549785386 65580598305 74324678079 123874463465 131161196610 148649356158 217144647721 222974034237 247748926930 371623390395 434289295442 445948068474 651433943163 743246780790 1085723238605 1114870171185 1302867886326 1954301829489 2171446477210 2229740342370 3257169715815 3691459011257 3908603658978 6514339431630 7382918022514 9771509147445 11074377033771 18457295056285 19543018294890 22148754067542 33223131101313 36914590112570 55371885168855 66446262202626 110743770337710 166115655506565 332231311013130