Search a number
-
+
12235076010 = 2325373674197
BaseRepresentation
bin10110110010100010…
…00111000110101010
31011120200110021000100
423121101013012222
5200024134413020
65342024050230
7612124300353
oct133121070652
934520407010
1012235076010
115209421773
122455603976
1311cca80361
14840d30d2a
154b9207a90
hex2d94471aa

12235076010 has 48 divisors (see below), whose sum is σ = 32670968616. Its totient is φ = 3174505344.

The previous prime is 12235075981. The next prime is 12235076041. The reversal of 12235076010 is 1067053221.

It is a happy number.

12235076010 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 50 + 7 + 601 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11372302881 + 862773129 = 106641^2 + 29373^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1833769 + ... + 1840428.

Almost surely, 212235076010 is an apocalyptic number.

12235076010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12235076010 is an abundant number, since it is smaller than the sum of its proper divisors (20435892606).

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

12235076010 is a wasteful number, since it uses less digits than its factorization.

12235076010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674247 (or 3674244 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 12235076010 in words is "twelve billion, two hundred thirty-five million, seventy-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3674197 7348394 11022591 18370985 22045182 33067773 36741970 55112955 66135546 110225910 135945289 165338865 271890578 330677730 407835867 679726445 815671734 1223507601 1359452890 2039179335 2447015202 4078358670 6117538005 12235076010