Search a number
-
+
12133332112332 = 2233532864337137
BaseRepresentation
bin1011000010010000001011…
…1100110101001111001100
31120221221020202222012020010
42300210002330311033030
53042243031010043312
641445550435553220
72361414165166044
oct260440274651714
946857222865203
1012133332112332
113958798731282
12143b63045b810
136a0225a0b002
142dd383822724
1516093857b93c
hexb0902f353cc

12133332112332 has 24 divisors (see below), whose sum is σ = 28391309711856. Its totient is φ = 4032986687488.

The previous prime is 12133332112303. The next prime is 12133332112337. The reversal of 12133332112332 is 23321123333121.

It is a super-3 number, since 3×121333321123323 (a number of 40 digits) contains 333 as substring.

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 12133332112332.

It is not an unprimeable number, because it can be changed into a prime (12133332112337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1432164333 + ... + 1432172804.

It is an arithmetic number, because the mean of its divisors is an integer number (1182971237994).

Almost surely, 212133332112332 is an apocalyptic number.

12133332112332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12133332112332 is an abundant number, since it is smaller than the sum of its proper divisors (16257977599524).

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

12133332112332 is a wasteful number, since it uses less digits than its factorization.

12133332112332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864337497 (or 2864337495 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 12133332112332 its reverse (23321123333121), we get a palindrome (35454455445453).

The spelling of 12133332112332 in words is "twelve trillion, one hundred thirty-three billion, three hundred thirty-two million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 353 706 1059 1412 2118 4236 2864337137 5728674274 8593011411 11457348548 17186022822 34372045644 1011111009361 2022222018722 3033333028083 4044444037444 6066666056166 12133332112332