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1331323321000 = 23538914958689
BaseRepresentation
bin10011010111111001000…
…011011011101010101000
311201021101012201000202011
4103113321003123222220
5133303022232233000
62455333531045304
7165120301341061
oct23277103335250
94637335630664
101331323321000
1147367a341942
121960295a0834
139870a6a13ca
1448617665568
152496dce92ba
hex135f90dbaa8

1331323321000 has 64 divisors (see below), whose sum is σ = 3150300114000. Its totient is φ = 526545817600.

The previous prime is 1331323320953. The next prime is 1331323321037. The reversal of 1331323321000 is 1233231331.

It can be written as a sum of positive squares in 8 ways, for example, as 94294441476 + 1237028879524 = 307074^2 + 1112218^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7390345 + ... + 7568344.

Almost surely, 21331323321000 is an apocalyptic number.

1331323321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331323321000 is an abundant number, since it is smaller than the sum of its proper divisors (1818976793000).

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

1331323321000 is a wasteful number, since it uses less digits than its factorization.

1331323321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14958799 (or 14958785 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1331323321000 its reverse (1233231331), we get a palindrome (1332556552331).

The spelling of 1331323321000 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-three million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 712 890 1000 1780 2225 3560 4450 8900 11125 17800 22250 44500 89000 14958689 29917378 59834756 74793445 119669512 149586890 299173780 373967225 598347560 747934450 1331323321 1495868900 1869836125 2662646642 2991737800 3739672250 5325293284 6656616605 7479344500 10650586568 13313233210 14958689000 26626466420 33283083025 53252932840 66566166050 133132332100 166415415125 266264664200 332830830250 665661660500 1331323321000