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1110110002320 = 243511823510931
BaseRepresentation
bin10000001001110111101…
…101100101110010010000
310221010101110211002200010
4100021313231211302100
5121142001130033240
62205551045554520
7143126363220654
oct20116755456220
93833343732603
101110110002320
11398882179410
1215b191715a40
13808b54cbb77
143ba300a2a64
151dd2333c280
hex10277b65c90

1110110002320 has 160 divisors (see below), whose sum is σ = 3758759138304. Its totient is φ = 268790054400.

The previous prime is 1110110002319. The next prime is 1110110002333. The reversal of 1110110002320 is 232000110111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1110110002296 and 1110110002305.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1917255 + ... + 2428185.

Almost surely, 21110110002320 is an apocalyptic number.

1110110002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110110002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879379569152).

1110110002320 is an abundant number, since it is smaller than the sum of its proper divisors (2648649135984).

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

1110110002320 is a wasteful number, since it uses less digits than its factorization.

1110110002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511781 (or 511775 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1110110002320 its reverse (232000110111), we get a palindrome (1342110112431).

The spelling of 1110110002320 in words is "one trillion, one hundred ten billion, one hundred ten million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 823 880 1320 1646 2469 2640 3292 4115 4938 6584 8230 9053 9876 12345 13168 16460 18106 19752 24690 27159 32920 36212 39504 45265 49380 54318 65840 72424 90530 98760 108636 135795 144848 181060 197520 217272 271590 362120 434544 510931 543180 724240 1021862 1086360 1532793 2043724 2172720 2554655 3065586 4087448 5109310 5620241 6131172 7663965 8174896 10218620 11240482 12262344 15327930 16860723 20437240 22480964 24524688 28101205 30655860 33721446 40874480 44961928 56202410 61311720 67442892 84303615 89923856 112404820 122623440 134885784 168607230 224809640 269771568 337214460 420496213 449619280 674428920 840992426 1261488639 1348857840 1681984852 2102481065 2522977278 3363969704 4204962130 4625458343 5045954556 6307443195 6727939408 8409924260 9250916686 10091909112 12614886390 13876375029 16819848520 18501833372 20183818224 23127291715 25229772780 27752750058 33639697040 37003666744 46254583430 50459545560 55505500116 69381875145 74007333488 92509166860 100919091120 111011000232 138763750290 185018333720 222022000464 277527500580 370036667440 555055001160 1110110002320