Search a number
-
+
132301330000203 = 37136771831390953
BaseRepresentation
bin11110000101001111001101…
…110001110010100101001011
3122100102212212011102011202210
4132011033031301302211023
5114320111110440001303
61145214220354400203
736603312202021620
oct3605171561624513
9570385764364683
10132301330000203
1139178751773131
1212a08a73890063
1358a8c67358210
1424955c0680347
1510466db89e203
hex7853cdc7294b

132301330000203 has 64 divisors (see below), whose sum is σ = 217549875013632. Its totient is φ = 69644001623040.

The previous prime is 132301330000183. The next prime is 132301330000241. The reversal of 132301330000203 is 302000033103231.

It is not a de Polignac number, because 132301330000203 - 221 = 132301327903051 is a prime.

It is a super-2 number, since 2×1323013300002032 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 132301330000203.

It is not an unprimeable number, because it can be changed into a prime (132301330080203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338211775 + ... + 338602727.

It is an arithmetic number, because the mean of its divisors is an integer number (3399216797088).

Almost surely, 2132301330000203 is an apocalyptic number.

132301330000203 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132301330000203 is a deficient number, since it is larger than the sum of its proper divisors (85248545013429).

132301330000203 is a wasteful number, since it uses less digits than its factorization.

132301330000203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393484.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 132301330000203 its reverse (302000033103231), we get a palindrome (434301363103434).

The spelling of 132301330000203 in words is "one hundred thirty-two trillion, three hundred one billion, three hundred thirty million, two hundred three", and thus it is an aban number.

Divisors: 1 3 7 13 21 39 91 273 677 1831 2031 4739 5493 8801 12817 14217 23803 26403 38451 61607 71409 166621 184821 390953 499863 1172859 1239587 2736671 3718761 5082389 8210013 8677109 15247167 16114631 26031327 35576723 48343893 106730169 112802417 264675181 338407251 715834943 794025543 1852726267 2147504829 3440777353 5010844601 5558178801 9305854259 10322332059 15032533803 24085441471 27917562777 65140979813 72256324413 195422939439 484620256411 1453860769233 3392341794877 6300063333343 10177025384631 18900190000029 44100443333401 132301330000203