Search a number
-
+
1332222233130 = 233537879130261
BaseRepresentation
bin10011011000101110101…
…000100000101000101010
311201100200212011111101000
4103120232220200220222
5133311342342430010
62500003041535430
7165151465066125
oct23305650405052
94640625144330
101332222233130
11473aa07a0928
1219623a644576
13988219a6889
14486a0bbb3bc
15249c2bad7c0
hex1362ea20a2a

1332222233130 has 64 divisors (see below), whose sum is σ = 3552713683200. Its totient is φ = 355247156160.

The previous prime is 1332222233113. The next prime is 1332222233143. The reversal of 1332222233130 is 313322222331.

1332222233130 is a `hidden beast` number, since 1 + 3 + 322 + 2 + 2 + 2 + 331 + 3 + 0 = 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 = 1332222233094 and 1332222233103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10162200 + ... + 10292460.

It is an arithmetic number, because the mean of its divisors is an integer number (55511151300).

Almost surely, 21332222233130 is an apocalyptic number.

1332222233130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1332222233130 is an abundant number, since it is smaller than the sum of its proper divisors (2220491450070).

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

1332222233130 is a wasteful number, since it uses less digits than its factorization.

1332222233130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168156 (or 168150 counting only the distinct ones).

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

Adding to 1332222233130 its reverse (313322222331), we get a palindrome (1645544455461).

The spelling of 1332222233130 in words is "one trillion, three hundred thirty-two billion, two hundred twenty-two million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 37879 75758 113637 130261 189395 227274 260522 340911 378790 390783 568185 651305 681822 781566 1022733 1136370 1172349 1302610 1704555 1953915 2045466 2344698 3409110 3517047 3907830 5113665 5861745 7034094 10227330 11723490 17585235 35170470 4934156419 9868312838 14802469257 24670782095 29604938514 44407407771 49341564190 74012346285 88814815542 133222223313 148024692570 222037038855 266444446626 444074077710 666111116565 1332222233130