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1331321003010 = 2325233717382439
BaseRepresentation
bin10011010111111000111…
…010100101110000000010
311201021101001100021001200
4103113320322211300002
5133303021134044020
62455333405242030
7165120242545065
oct23277072456002
94637331307050
101331321003010
11473678aa9349
12196028863316
139870a06c30b
14486172208dc
152496d9dc590
hex135f8ea5c02

1331321003010 has 96 divisors (see below), whose sum is σ = 3709551755520. Its totient is φ = 330405381504.

The previous prime is 1331321002937. The next prime is 1331321003021. The reversal of 1331321003010 is 103001231331.

It is a happy number.

1331321003010 is a `hidden beast` number, since 1 + 331 + 32 + 1 + 0 + 0 + 301 + 0 = 666.

It is a super-2 number, since 2×13313210030102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8614630 + ... + 8767809.

It is an arithmetic number, because the mean of its divisors is an integer number (38641164120).

Almost surely, 21331321003010 is an apocalyptic number.

1331321003010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331321003010 is an abundant number, since it is smaller than the sum of its proper divisors (2378230752510).

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

1331321003010 is a wasteful number, since it uses less digits than its factorization.

1331321003010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17382512 (or 17382509 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1331321003010 its reverse (103001231331), we get a palindrome (1434322234341).

The spelling of 1331321003010 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-one million, three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 37 45 46 69 74 90 111 115 138 185 207 222 230 333 345 370 414 555 666 690 851 1035 1110 1665 1702 2070 2553 3330 4255 5106 7659 8510 12765 15318 25530 38295 76590 17382439 34764878 52147317 86912195 104294634 156441951 173824390 260736585 312883902 399796097 521473170 643150243 782209755 799592194 1199388291 1286300486 1564419510 1929450729 1998980485 2398776582 3215751215 3598164873 3858901458 3997960970 5788352187 5996941455 6431502430 7196329746 9647253645 11576704374 11993882910 14792455589 17990824365 19294507290 28941760935 29584911178 35981648730 44377366767 57883521870 73962277945 88754733534 133132100301 147924555890 221886833835 266264200602 443773667670 665660501505 1331321003010