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11302110103312 = 2474110336765111
BaseRepresentation
bin1010010001110111101001…
…0000100000011100010000
31111000110201111010001122001
42210131322100200130100
52440133210141301222
640012041231323344
72244356552532460
oct244357220403420
944013644101561
1011302110103312
11366821a565046
121326511980554
1363ca2746a3b2
142b104ca33ba0
15148ed9228e27
hexa477a420710

11302110103312 has 160 divisors (see below), whose sum is σ = 25956322689024. Its totient is φ = 4666918118400.

The previous prime is 11302110103303. The next prime is 11302110103321. The reversal of 11302110103312 is 21330101120311.

It is an interprime number because it is at equal distance from previous prime (11302110103303) and next prime (11302110103321).

It is a self number, because there is not a number n which added to its sum of digits gives 11302110103312.

It is an unprimeable number.

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, 173549637 + ... + 173614747.

Almost surely, 211302110103312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11302110103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12978161344512).

11302110103312 is an abundant number, since it is smaller than the sum of its proper divisors (14654212585712).

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

11302110103312 is a wasteful number, since it uses less digits than its factorization.

11302110103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65637 (or 65631 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 11302110103312 its reverse (21330101120311), we get a palindrome (32632211223623).

The spelling of 11302110103312 in words is "eleven trillion, three hundred two billion, one hundred ten million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 103 112 164 206 287 328 367 412 574 656 721 734 824 1148 1442 1468 1648 2296 2569 2884 2936 4223 4592 5138 5768 5872 8446 10276 11536 15047 16892 20552 29561 30094 33784 37801 41104 59122 60188 65111 67568 75602 105329 118244 120376 130222 151204 210658 236488 240752 260444 264607 302408 421316 455777 472976 520888 529214 604816 842632 911554 1041776 1058428 1549841 1685264 1823108 2116856 2669551 3099682 3646216 4233712 5339102 6199364 6706433 7292432 10678204 10848887 12398728 13412866 18686857 21356408 21697774 23895737 24797456 26825732 37373714 42712816 43395548 46945031 47791474 53651464 74747428 86791096 93890062 95582948 107302928 149494856 167270159 173582192 187780124 191165896 274963753 298989712 334540318 375560248 382331792 549927506 669080636 751120496 979725217 1099855012 1338161272 1924746271 1959450434 2199710024 2461260911 2676322544 3849492542 3918900868 4399420048 4922521822 6858076519 7698985084 7837801736 9845043644 13716153038 15397970168 15675603472 17228826377 19690087288 27432306076 30795940336 34457652754 39380174576 54864612152 68915305508 100911697351 109729224304 137830611016 201823394702 275661222032 403646789404 706381881457 807293578808 1412763762914 1614587157616 2825527525828 5651055051656 11302110103312