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230100123322332 = 223312640631685483
BaseRepresentation
bin110100010100011001011100…
…000111010000011111011100
31010011201100122020000120202000
4310110121130013100133130
5220124430023032303312
62133214312023002300
766316120363141614
oct6424313407203734
91104640566016660
10230100123322332
1167353a06a1038a
1221982b41899390
139b5146b928a53
1440b6c96573a44
151b90673d12adc
hexd1465c1d07dc

230100123322332 has 48 divisors (see below), whose sum is σ = 596556701153280. Its totient is φ = 76699934923824.

The previous prime is 230100123322309. The next prime is 230100123322339. The reversal of 230100123322332 is 233223321001032.

230100123322332 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 0 + 0 + 1 + 2 + 3 + 322 + 332 = 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 = 230100123322296 and 230100123322305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230100123322339) 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 15 ways as a sum of consecutive naturals, for example, 135676063 + ... + 137361545.

It is an arithmetic number, because the mean of its divisors is an integer number (12428264607360).

Almost surely, 2230100123322332 is an apocalyptic number.

It is an amenable number.

230100123322332 is an abundant number, since it is smaller than the sum of its proper divisors (366456577830948).

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

230100123322332 is a wasteful number, since it uses less digits than its factorization.

230100123322332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949559 (or 2949551 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 230100123322332 its reverse (233223321001032), we get a palindrome (463323444323364).

The spelling of 230100123322332 in words is "two hundred thirty trillion, one hundred billion, one hundred twenty-three million, three hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1264063 1685483 2528126 3370966 3792189 5056252 5056449 6741932 7584378 10112898 11376567 15168756 15169347 20225796 22753134 30338694 34129701 45506268 45508041 60677388 68259402 91016082 136518804 182032164 2130556697429 4261113394858 6391670092287 8522226789716 12783340184574 19175010276861 25566680369148 38350020553722 57525030830583 76700041107444 115050061661166 230100123322332