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132301002300030 = 232519265861291013
BaseRepresentation
bin11110000101001110111010…
…001111101101101001111110
3122100102212000022210021122100
4132011032322033231221332
5114320104423042100110
61145214124050525530
736603301112432544
oct3605167217555176
9570385008707570
10132301002300030
11391785a379a143
1212a089a1b968a6
1358a8c144ac1a5
14249558cd39d94
1510466bcc1cbc0
hex7853ba3eda7e

132301002300030 has 96 divisors (see below), whose sum is σ = 362089559838240. Its totient is φ = 33423170538240.

The previous prime is 132301002299959. The next prime is 132301002300031. The reversal of 132301002300030 is 30003200103231.

132301002300030 is a `hidden beast` number, since 1 + 3 + 230 + 100 + 2 + 300 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132301002299976 and 132301002300012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132301002300031) 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 47 ways as a sum of consecutive naturals, for example, 454476804 + ... + 454767816.

It is an arithmetic number, because the mean of its divisors is an integer number (3771766248315).

Almost surely, 2132301002300030 is an apocalyptic number.

132301002300030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132301002300030 is an abundant number, since it is smaller than the sum of its proper divisors (229788557538210).

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

132301002300030 is a wasteful number, since it uses less digits than its factorization.

132301002300030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556906 (or 556903 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 132301002300030 its reverse (30003200103231), we get a palindrome (162304202403261).

The spelling of 132301002300030 in words is "one hundred thirty-two trillion, three hundred one billion, two million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 265861 291013 531722 582026 797583 873039 1329305 1455065 1595166 1746078 2392749 2619117 2658610 2910130 3987915 4365195 4785498 5051359 5238234 5529247 7975830 8730390 10102718 11058494 11963745 13095585 15154077 16587741 23927490 25256795 26191170 27646235 30308154 33175482 45462231 49763223 50513590 55292470 75770385 82938705 90924462 99526446 151540770 165877410 227311155 248816115 454622310 497632230 77369007193 154738014386 232107021579 386845035965 464214043158 696321064737 773690071930 1160535107895 1392642129474 1470011136667 2321070215790 2940022273334 3481605323685 4410033410001 6963210647370 7350055683335 8820066820002 13230100230003 14700111366670 22050167050005 26460200460006 44100334100010 66150501150015 132301002300030