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1333032222132 = 2232132219104573
BaseRepresentation
bin10011011001011110111…
…010010111110110110100
311201102210022022012101200
4103121132322113312310
5133320022222102012
62500215254452500
7165210531635112
oct23313672276664
94642708265350
101333032222132
11474376a34626
12196425964130
1398920746300
144873a5c6ab2
1524a1dd5a3dc
hex1365ee97db4

1333032222132 has 54 divisors (see below), whose sum is σ = 3648748470822. Its totient is φ = 410163758784.

The previous prime is 1333032222131. The next prime is 1333032222187. The reversal of 1333032222132 is 2312222303331.

1333032222132 is a `hidden beast` number, since 1 + 3 + 3 + 303 + 2 + 222 + 132 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 20458725156 + 1312573496976 = 143034^2 + 1145676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1333032222096 and 1333032222105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333032222131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 109546203 + ... + 109558370.

Almost surely, 21333032222132 is an apocalyptic number.

1333032222132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1333032222132 is an abundant number, since it is smaller than the sum of its proper divisors (2315716248690).

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

1333032222132 is a wasteful number, since it uses less digits than its factorization.

1333032222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219104609 (or 219104591 counting only the distinct ones).

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

Adding to 1333032222132 its reverse (2312222303331), we get a palindrome (3645254525463).

The spelling of 1333032222132 in words is "one trillion, three hundred thirty-three billion, thirty-two million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 219104573 438209146 657313719 876418292 1314627438 1971941157 2629254876 2848359449 3943882314 5696718898 7887764628 8545078347 11393437796 17090156694 25635235041 34180313388 37028672837 51270470082 74057345674 102540940164 111086018511 148114691348 222172037022 333258055533 444344074044 666516111066 1333032222132