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1100321332330 = 251121929725969
BaseRepresentation
bin10000000000110000010…
…000110001110001101010
310220012010021201010211011
4100000300100301301222
5121011424230113310
62201251452454134
7142331663002333
oct20006020616152
93805107633734
101100321332330
11394709785800
121592bb47a34a
137c9b5534a4c
143b38203128a
151d94dcc578a
hex10030431c6a

1100321332330 has 144 divisors (see below), whose sum is σ = 2321384856840. Its totient is φ = 375135805440.

The previous prime is 1100321332309. The next prime is 1100321332381. The reversal of 1100321332330 is 332331230011.

It can be written as a sum of positive squares in 4 ways, for example, as 671562221121 + 428759111209 = 819489^2 + 654797^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42357586 + ... + 42383554.

Almost surely, 21100321332330 is an apocalyptic number.

1100321332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100321332330 is an abundant number, since it is smaller than the sum of its proper divisors (1221063524510).

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

1100321332330 is a wasteful number, since it uses less digits than its factorization.

1100321332330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26133 (or 26103 counting only the distinct ones).

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

Adding to 1100321332330 its reverse (332331230011), we get a palindrome (1432652562341).

The spelling of 1100321332330 in words is "one trillion, one hundred billion, three hundred twenty-one million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 5 10 11 19 22 38 55 95 97 110 121 190 194 209 242 361 418 485 605 722 970 1045 1067 1210 1805 1843 2090 2134 2299 3610 3686 3971 4598 5335 7942 9215 10670 11495 11737 18430 19855 20273 22990 23474 25969 35017 39710 40546 43681 51938 58685 70034 87362 101365 117370 129845 175085 202730 218405 223003 259690 285659 350170 385187 436810 446006 493411 571318 770374 986822 1115015 1428295 1925935 2230030 2467055 2518993 2856590 3142249 3851870 4237057 4934110 5037986 5427521 6284498 8474114 9374809 10855042 12594965 15711245 18749618 21185285 25189930 27137605 27708923 31422490 42370570 46874045 47860867 54275210 55417846 59702731 93748090 95721734 103122899 119405462 138544615 206245798 239304335 277089230 298513655 304798153 478608670 515614495 526469537 597027310 609596306 909356473 1031228990 1052939074 1134351889 1523990765 1818712946 2268703778 2632347685 3047981530 4546782365 5264695370 5671759445 5791164907 9093564730 10002921203 11343518890 11582329814 20005842406 28955824535 50014606015 57911649070 100029212030 110032133233 220064266466 550160666165 1100321332330