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201132321123330 = 23351939207080141
BaseRepresentation
bin101101101110110111000100…
…100011011010110000000010
3222101011001200021121000022000
4231232313010203122300002
5202330322443201421310
61551434525052524430
760236221263130362
oct5556670443326002
9871131607530260
10201132321123330
11590a5813846713
121a68495b480716
13882c90928bbac
143794bdb9029a2
15183bda730e4c0
hexb6edc48dac02

201132321123330 has 64 divisors (see below), whose sum is σ = 564581954044800. Its totient is φ = 50812375861440.

The previous prime is 201132321123269. The next prime is 201132321123337. The reversal of 201132321123330 is 33321123231102.

201132321123330 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 2 + 321 + 1 + 2 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201132321123294 and 201132321123303.

It is not an unprimeable number, because it can be changed into a prime (201132321123337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19603534941 + ... + 19603545200.

It is an arithmetic number, because the mean of its divisors is an integer number (8821593031950).

Almost surely, 2201132321123330 is an apocalyptic number.

201132321123330 is an abundant number, since it is smaller than the sum of its proper divisors (363449632921470).

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

201132321123330 is a wasteful number, since it uses less digits than its factorization.

201132321123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39207080176 (or 39207080170 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 201132321123330 its reverse (33321123231102), we get a palindrome (234453444354432).

The spelling of 201132321123330 in words is "two hundred one trillion, one hundred thirty-two billion, three hundred twenty-one million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 39207080141 78414160282 117621240423 196035400705 235242480846 352863721269 392070801410 588106202115 705727442538 744934522679 1058591163807 1176212404230 1489869045358 1764318606345 2117182327614 2234803568037 3528637212690 3724672613395 4469607136074 5292955819035 6704410704111 7449345226790 10585911638070 11174017840185 13408821408222 20113232112333 22348035680370 33522053520555 40226464224666 67044107041110 100566160561665 201132321123330