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110002201320 = 233511412032561
BaseRepresentation
bin110011001110010100…
…1000110001011101000
3101111221020112211000110
41212130221012023220
53300241030420240
6122311224534320
710642646166204
oct1463451061350
9344836484013
10110002201320
1142719413a90
121939b6213a0
13a4b0abab6b
1454775d7b04
152cdc3cec80
hex199ca462e8

110002201320 has 128 divisors (see below), whose sum is σ = 368788049280. Its totient is φ = 26016768000.

The previous prime is 110002201313. The next prime is 110002201321. The reversal of 110002201320 is 23102200011.

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 = 110002201296 and 110002201305.

It is not an unprimeable number, because it can be changed into a prime (110002201321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962161 + ... + 1070400.

It is an arithmetic number, because the mean of its divisors is an integer number (2881156635).

Almost surely, 2110002201320 is an apocalyptic number.

110002201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110002201320 is an abundant number, since it is smaller than the sum of its proper divisors (258785847960).

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

110002201320 is a wasteful number, since it uses less digits than its factorization.

110002201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032627 (or 2032623 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 110002201320 its reverse (23102200011), we get a palindrome (133104401331).

The spelling of 110002201320 in words is "one hundred ten billion, two million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1230 1320 1353 1640 1804 2255 2460 2706 3608 4510 4920 5412 6765 9020 10824 13530 18040 27060 54120 2032561 4065122 6097683 8130244 10162805 12195366 16260488 20325610 22358171 24390732 30488415 40651220 44716342 48781464 60976830 67074513 81302440 83335001 89432684 111790855 121953660 134149026 166670002 178865368 223581710 243907320 250005003 268298052 333340004 335372565 416675005 447163420 500010006 536596104 666680008 670745130 833350010 894326840 916685011 1000020012 1250025015 1341490260 1666700020 1833370022 2000040024 2500050030 2682980520 2750055033 3333400040 3666740044 4583425055 5000100060 5500110066 7333480088 9166850110 10000200120 11000220132 13750275165 18333700220 22000440264 27500550330 36667400440 55001100660 110002201320