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12340203311010 = 23519233172353927
BaseRepresentation
bin1011001110010010110101…
…1011110100111110100010
31121200201012222121221022110
42303210231123310332202
53104140214021423020
642125002223420150
72412356512313211
oct263445533647642
947621188557273
1012340203311010
113a284a6073773
121473745154656
136b68a3747103
143093aa2d3078
15165ee4d768e0
hexb392d6f4fa2

12340203311010 has 128 divisors (see below), whose sum is σ = 31327801989120. Its totient is φ = 3102285989376.

The previous prime is 12340203310993. The next prime is 12340203311011. The reversal of 12340203311010 is 1011330204321.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12340203311011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228804667 + ... + 228858593.

It is an arithmetic number, because the mean of its divisors is an integer number (244748453040).

Almost surely, 212340203311010 is an apocalyptic number.

12340203311010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12340203311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663900994560).

12340203311010 is an abundant number, since it is smaller than the sum of its proper divisors (18987598678110).

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

12340203311010 is a wasteful number, since it uses less digits than its factorization.

12340203311010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55912.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12340203311010 its reverse (1011330204321), we get a palindrome (13351533515331).

The spelling of 12340203311010 in words is "twelve trillion, three hundred forty billion, two hundred three million, three hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 233 285 466 570 699 1165 1398 1723 2330 3446 3495 4427 5169 6990 8615 8854 10338 13281 17230 22135 25845 26562 32737 44270 51690 53927 65474 66405 98211 107854 132810 161781 163685 196422 269635 323562 327370 401459 491055 539270 802918 808905 982110 1024613 1204377 1617810 2007295 2049226 2408754 3073839 4014590 5123065 6021885 6147678 7627721 10246130 12043770 12564991 15255442 15369195 22883163 25129982 30738390 37694973 38138605 45766326 62824955 75389946 76277210 92916221 114415815 125649910 185832442 188474865 228831630 238734829 278748663 376949730 464581105 477469658 557497326 716204487 929162210 1193674145 1393743315 1432408974 1765408199 2387348290 2787486630 3530816398 3581022435 5296224597 7162044870 8827040995 10592449194 17654081990 21649479493 26481122985 43298958986 52962245970 64948438479 108247397465 129896876958 216494794930 324742192395 411340110367 649484384790 822680220734 1234020331101 2056700551835 2468040662202 4113401103670 6170101655505 12340203311010