Search a number
-
+
1332110000322 = 2321931316329131
BaseRepresentation
bin10011011000100111111…
…100011000000011000010
311201100102000222110220100
4103120213330120003002
5133311130130002242
62455543552223230
7165145633114563
oct23304774300302
94640360873810
101332110000322
11473a43404742
12196208b3ab16
139880466c12a
144868dd2416a
15249b7dde54c
hex13627f180c2

1332110000322 has 48 divisors (see below), whose sum is σ = 2901512940768. Its totient is φ = 441687237120.

The previous prime is 1332110000239. The next prime is 1332110000329. The reversal of 1332110000322 is 2230000112331.

1332110000322 is a `hidden beast` number, since 1 + 332 + 1 + 10 + 0 + 0 + 0 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1332110000295 and 1332110000304.

It is not an unprimeable number, because it can be changed into a prime (1332110000329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45713697 + ... + 45742827.

It is an arithmetic number, because the mean of its divisors is an integer number (60448186266).

Almost surely, 21332110000322 is an apocalyptic number.

1332110000322 is an abundant number, since it is smaller than the sum of its proper divisors (1569402940446).

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

1332110000322 is a wasteful number, since it uses less digits than its factorization.

1332110000322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42495 (or 42492 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1332110000322 its reverse (2230000112331), we get a palindrome (3562110112653).

The spelling of 1332110000322 in words is "one trillion, three hundred thirty-two billion, one hundred ten million, three hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 3474 13163 26326 29131 39489 58262 78978 87393 118467 174786 236934 262179 524358 2540459 5080918 5622283 7621377 11244566 15242754 16866849 22864131 33733698 45728262 50600547 101201094 383451353 766902706 1150354059 2300708118 3451062177 6902124354 74006111129 148012222258 222018333387 444036666774 666055000161 1332110000322