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3122402133042 = 2374319386017
BaseRepresentation
bin101101011011111101101…
…010111000010000110010
3102001111110120110220000000
4231123331222320100302
5402124134421224132
610350224534010430
7441405015135603
oct55337552702062
912044416426000
103122402133042
11aa422666aa15
124251861a6a16
1319859759ba6a
14ab1a7295daa
155634a54287c
hex2d6fdab8432

3122402133042 has 128 divisors (see below), whose sum is σ = 7225016536320. Its totient is φ = 1011316948992.

The previous prime is 3122402133023. The next prime is 3122402133079. The reversal of 3122402133042 is 2403312042213.

3122402133042 is a `hidden beast` number, since 3 + 122 + 402 + 133 + 0 + 4 + 2 = 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 = 3122402132997 and 3122402133015.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 36256818 + ... + 36342834.

It is an arithmetic number, because the mean of its divisors is an integer number (56445441690).

Almost surely, 23122402133042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122402133042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612508268160).

3122402133042 is an abundant number, since it is smaller than the sum of its proper divisors (4102614403278).

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

3122402133042 is an equidigital number, since it uses as much as digits as its factorization.

3122402133042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86276 (or 86258 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3122402133042 its reverse (2403312042213), we get a palindrome (5525714175255).

The spelling of 3122402133042 in words is "three trillion, one hundred twenty-two billion, four hundred two million, one hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 193 243 258 386 387 486 579 729 774 1158 1161 1458 1737 2187 2322 3474 3483 4374 5211 6966 8299 10422 10449 15633 16598 20898 24897 31266 31347 46899 49794 62694 74691 86017 93798 94041 140697 149382 172034 188082 224073 258051 281394 422091 448146 516102 672219 774153 844182 1344438 1548306 2016657 2322459 3698731 4033314 4644918 6049971 6967377 7397462 11096193 12099942 13934754 16601281 18149913 20902131 22192386 33202562 33288579 36299826 41804262 49803843 62706393 66577158 99607686 99865737 125412786 149411529 188119179 199731474 298823058 299597211 376238358 448234587 599194422 713855083 896469174 898791633 1344703761 1427710166 1797583266 2141565249 2689407522 2696374899 4034111283 4283130498 5392749798 6424695747 8068222566 8089124697 12102333849 12849391494 16178249394 19274087241 24204667698 36307001547 38548174482 57822261723 72614003094 115644523446 173466785169 346933570338 520400355507 1040800711014 1561201066521 3122402133042