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12302232111104 = 211133311395991
BaseRepresentation
bin1011001100000101011000…
…1011001100100000000000
31121120002012201010010100012
42303001112023030200000
53103024432410023404
642055322321044052
72406543531404405
oct263012613144000
947502181103305
1012302232111104
113a13390343221
121468308786628
136b3131ab39a0
1430760735a2ac
15165021540a6e
hexb30562cc800

12302232111104 has 96 divisors (see below), whose sum is σ = 26570697491520. Its totient is φ = 5660795289600.

The previous prime is 12302232111079. The next prime is 12302232111119. The reversal of 12302232111104 is 40111123220321.

It is a self number, because there is not a number n which added to its sum of digits gives 12302232111104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8114549 + ... + 9510539.

It is an arithmetic number, because the mean of its divisors is an integer number (276778098870).

Almost surely, 212302232111104 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 12302232111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285348745760).

12302232111104 is an abundant number, since it is smaller than the sum of its proper divisors (14268465380416).

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

12302232111104 is a wasteful number, since it uses less digits than its factorization.

12302232111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396357 (or 1396337 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 12302232111104 its reverse (40111123220321), we get a palindrome (52413355331425).

The spelling of 12302232111104 in words is "twelve trillion, three hundred two billion, two hundred thirty-two million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 331 416 512 662 832 1024 1324 1664 2048 2648 3328 4303 5296 6656 8606 10592 13312 17212 21184 26624 34424 42368 68848 84736 137696 169472 275392 338944 550784 677888 1101568 1395991 2203136 2791982 4406272 5583964 8812544 11167928 18147883 22335856 36295766 44671712 72591532 89343424 145183064 178686848 290366128 357373696 462073021 580732256 714747392 924146042 1161464512 1429494784 1848292084 2322929024 2858989568 3696584168 4645858048 6006949273 7393168336 9291716096 12013898546 14786336672 18583432192 24027797092 29572673344 37166864384 48055594184 59145346688 96111188368 118290693376 192222376736 236581386752 384444753472 473162773504 768889506944 946325547008 1537779013888 3075558027776 6151116055552 12302232111104