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1331323213032 = 233218490600181
BaseRepresentation
bin10011010111111001000…
…011000001010011101000
311201021101012111112122100
4103113321003001103220
5133303022220304112
62455333524453400
7165120300411231
oct23277103012350
94637335445570
101331323213032
1147367a27880a
1219602954a260
139870a664217
1448617638088
152496dcc72dc
hex135f90c14e8

1331323213032 has 24 divisors (see below), whose sum is σ = 3605667035490. Its totient is φ = 443774404320.

The previous prime is 1331323213027. The next prime is 1331323213061. The reversal of 1331323213032 is 2303123231331.

1331323213032 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 32 + 321 + 303 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1318147387236 + 13175825796 = 1148106^2 + 114786^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 1331323212987 and 1331323213005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9245300019 + ... + 9245300162.

Almost surely, 21331323213032 is an apocalyptic number.

1331323213032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331323213032 is an abundant number, since it is smaller than the sum of its proper divisors (2274343822458).

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

1331323213032 is a wasteful number, since it uses less digits than its factorization.

1331323213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18490600193 (or 18490600186 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1331323213032 its reverse (2303123231331), we get a palindrome (3634446444363).

The spelling of 1331323213032 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-three million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18490600181 36981200362 55471800543 73962400724 110943601086 147924801448 166415401629 221887202172 332830803258 443774404344 665661606516 1331323213032