Search a number
-
+
1330131000216 = 23359939358051
BaseRepresentation
bin10011010110110001111…
…111000101101110011000
311201011022010010212010010
4103112301333011232120
5133243102014001331
62455015335321520
7165045612645144
oct23266177055630
94634263125103
101330131000216
11473118300667
121959562202a0
139857a668355
1448543174224
15248ee2c8e46
hex135b1fc5b98

1330131000216 has 32 divisors (see below), whose sum is σ = 3381688987200. Its totient is φ = 435862135200.

The previous prime is 1330131000199. The next prime is 1330131000227. The reversal of 1330131000216 is 6120001310331.

It is a super-3 number, since 3×13301310002163 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1330131000192 and 1330131000201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469677610 + ... + 469680441.

It is an arithmetic number, because the mean of its divisors is an integer number (105677780850).

Almost surely, 21330131000216 is an apocalyptic number.

It is an amenable number.

1330131000216 is an abundant number, since it is smaller than the sum of its proper divisors (2051557986984).

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

1330131000216 is a wasteful number, since it uses less digits than its factorization.

1330131000216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939358119 (or 939358115 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1330131000216 its reverse (6120001310331), we get a palindrome (7450132310547).

The spelling of 1330131000216 in words is "one trillion, three hundred thirty billion, one hundred thirty-one million, two hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 939358051 1878716102 2818074153 3757432204 5636148306 7514864408 11272296612 22544593224 55422125009 110844250018 166266375027 221688500036 332532750054 443377000072 665065500108 1330131000216