Search a number
-
+
332131003012230 = 235411511178706291
BaseRepresentation
bin100101110000100100100011…
…0011101000001010010000110
31121112222102011122202202001020
41023201021012131001102012
5322013113243232342410
63134214513145412010
7126646446605666532
oct11341110635012206
91545872148682036
10332131003012230
1196910a70621414
1231301268a9a006
1311342a85a031c6
145c03325030bc2
15285e752552a70
hex12e1246741486

332131003012230 has 64 divisors (see below), whose sum is σ = 817096634436096. Its totient is φ = 86350879328000.

The previous prime is 332131003012223. The next prime is 332131003012241. The reversal of 332131003012230 is 32210300131233.

It is a super-2 number, since 2×3321310030122302 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332131003012230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87494616 + ... + 91211675.

It is an arithmetic number, because the mean of its divisors is an integer number (12767134913064).

Almost surely, 2332131003012230 is an apocalyptic number.

332131003012230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332131003012230 is an abundant number, since it is smaller than the sum of its proper divisors (484965631423866).

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

332131003012230 is a wasteful number, since it uses less digits than its factorization.

332131003012230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178707853.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 332131003012230 its reverse (32210300131233), we get a palindrome (364341303143463).

The spelling of 332131003012230 in words is "three hundred thirty-two trillion, one hundred thirty-one billion, three million, twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 1511 3022 4533 7555 9066 15110 22665 45330 61951 123902 185853 309755 371706 619510 929265 1858530 178706291 357412582 536118873 893531455 1072237746 1787062910 2680594365 5361188730 7326957931 14653915862 21980873793 36634789655 43961747586 73269579310 109904368965 219808737930 270025205701 540050411402 810075617103 1350126028505 1620151234206 2700252057010 4050378085515 8100756171030 11071033433741 22142066867482 33213100301223 55355167168705 66426200602446 110710334337410 166065501506115 332131003012230