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133122122113332 = 223112934775893969
BaseRepresentation
bin11110010001001011101000…
…110011001110000100110100
3122110100100110120120200221110
4132101023220303032010310
5114422033101230111312
61151043243022115020
740016520166615362
oct3621135063160464
9573310416520843
10133122122113332
11394648584a01a0
1212b1bb6141ba70
135938492b305c1
1424c32061a2632
15105cc2a22743c
hex7912e8cce134

133122122113332 has 48 divisors (see below), whose sum is σ = 350541011217600. Its totient is φ = 38949001244160.

The previous prime is 133122122113241. The next prime is 133122122113397. The reversal of 133122122113332 is 233311221221331.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133122122113332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17387943157 + ... + 17387950812.

It is an arithmetic number, because the mean of its divisors is an integer number (7302937733700).

Almost surely, 2133122122113332 is an apocalyptic number.

133122122113332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133122122113332 is an abundant number, since it is smaller than the sum of its proper divisors (217418889104268).

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

133122122113332 is a wasteful number, since it uses less digits than its factorization.

133122122113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34775894016 (or 34775894014 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 133122122113332 its reverse (233311221221331), we get a palindrome (366433343334663).

The spelling of 133122122113332 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 34775893969 69551787938 104327681907 139103575876 208655363814 382534833659 417310727628 765069667318 1008500925101 1147604500977 1530139334636 2017001850202 2295209001954 3025502775303 4034003700404 4590418003908 6051005550606 11093510176111 12102011101212 22187020352222 33280530528333 44374040704444 66561061056666 133122122113332