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1001330121330 = 233571148164027
BaseRepresentation
bin11101001001000111110…
…11010001101001110010
310112201121102021120221000
432210203323101221302
5112401211002340310
62044001003342430
7132225615411540
oct16444373215162
93481542246830
101001330121330
11356730826820
12142093521a16
137356aa1ba96
1436670d68d90
151b0a84064c0
hexe923ed1a72

1001330121330 has 128 divisors (see below), whose sum is σ = 3329097615360. Its totient is φ = 208068592320.

The previous prime is 1001330121193. The next prime is 1001330121409. The reversal of 1001330121330 is 331210331001.

It is a happy number.

1001330121330 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 330 + 1 + 2 + 1 + 330 = 666.

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 63 ways as a sum of consecutive naturals, for example, 24061224 + ... + 24102803.

It is an arithmetic number, because the mean of its divisors is an integer number (26008575120).

Almost surely, 21001330121330 is an apocalyptic number.

1001330121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001330121330 is an abundant number, since it is smaller than the sum of its proper divisors (2327767494030).

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

1001330121330 is a wasteful number, since it uses less digits than its factorization.

1001330121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48164061 (or 48164055 counting only the distinct ones).

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

Adding to 1001330121330 its reverse (331210331001), we get a palindrome (1332540452331).

The spelling of 1001330121330 in words is "one trillion, one billion, three hundred thirty million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 594 630 693 770 945 990 1155 1386 1485 1890 2079 2310 2970 3465 4158 6930 10395 20790 48164027 96328054 144492081 240820135 288984162 337148189 433476243 481640270 529804297 674296378 722460405 866952486 1011444567 1059608594 1300428729 1444920810 1589412891 1685740945 2022889134 2167381215 2600857458 2649021485 3034333701 3178825782 3371481890 3708630079 4334762430 4768238673 5057222835 5298042970 6068667402 6502143645 7417260158 7947064455 9103001103 9536477346 10114445670 11125890237 13004287290 14304716019 15171668505 15894128910 18206002206 18543150395 22251780474 23841193365 28609432038 30343337010 33377670711 37086300790 45515005515 47682386730 55629451185 66755341422 71523580095 91030011030 100133012133 111258902370 143047160190 166888353555 200266024266 333776707110 500665060665 1001330121330