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1331323103440 = 245111512867163
BaseRepresentation
bin10011010111111001000…
…010100110100011010000
311201021101012021222022101
4103113321002212203100
5133303022203302230
62455333522250144
7165120266443561
oct23277102464320
94637335258271
101331323103440
1147367a203440
121960294b6954
139870a626385
144861760a168
152496dca4aca
hex135f90a68d0

1331323103440 has 40 divisors (see below), whose sum is σ = 3376719510048. Its totient is φ = 484117491840.

The previous prime is 1331323103431. The next prime is 1331323103443. The reversal of 1331323103440 is 443013231331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13313231034402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331323103399 and 1331323103408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331323103443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 756432702 + ... + 756434461.

Almost surely, 21331323103440 is an apocalyptic number.

1331323103440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331323103440 is an abundant number, since it is smaller than the sum of its proper divisors (2045396406608).

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

1331323103440 is a wasteful number, since it uses less digits than its factorization.

1331323103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512867187 (or 1512867181 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 1331323103440 its reverse (443013231331), we get a palindrome (1774336334771).

The spelling of 1331323103440 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1512867163 3025734326 6051468652 7564335815 12102937304 15128671630 16641538793 24205874608 30257343260 33283077586 60514686520 66566155172 83207693965 121029373040 133132310344 166415387930 266264620688 332830775860 665661551720 1331323103440