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1331412405030 = 232515794225931
BaseRepresentation
bin10011010111111110010…
…111010000101100100110
311201021121102022222001200
4103113332113100230212
5133303213033430110
62455350432303330
7165122432500221
oct23277627205446
94637542288050
101331412405030
11473715658004
121960533a1b46
1398722c92456
14486254145b8
1524976a446c0
hex135fe5d0b26

1331412405030 has 48 divisors (see below), whose sum is σ = 3483721157904. Its totient is φ = 352781881920.

The previous prime is 1331412405007. The next prime is 1331412405031. The reversal of 1331412405030 is 305042141331.

It is a happy number.

1331412405030 is a `hidden beast` number, since 1 + 3 + 31 + 4 + 124 + 0 + 503 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1331412404985 and 1331412405003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331412405031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47098836 + ... + 47127095.

It is an arithmetic number, because the mean of its divisors is an integer number (72577524123).

Almost surely, 21331412405030 is an apocalyptic number.

1331412405030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331412405030 is an abundant number, since it is smaller than the sum of its proper divisors (2152308752874).

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

1331412405030 is a wasteful number, since it uses less digits than its factorization.

1331412405030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94226101 (or 94226098 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1331412405030 its reverse (305042141331), we get a palindrome (1636454546361).

The spelling of 1331412405030 in words is "one trillion, three hundred thirty-one billion, four hundred twelve million, four hundred five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 14130 94225931 188451862 282677793 471129655 565355586 848033379 942259310 1413388965 1696066758 2826777930 4240166895 8480333790 14793471167 29586942334 44380413501 73967355835 88760827002 133141240503 147934711670 221902067505 266282481006 443804135010 665706202515 1331412405030