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10228154807112 = 23311239912717761
BaseRepresentation
bin1001010011010110110110…
…0010001011001101001000
31100012210122200202022220120
42110311231202023031020
52320034230112311422
633430425514223240
72103650132246124
oct224655542131510
940183580668816
1010228154807112
113293810817550
121192350424b20
13592684488378
1427508c57a584
1512b0d000c45c
hex94d6d88b348

10228154807112 has 128 divisors (see below), whose sum is σ = 28016329420800. Its totient is φ = 3085960550400.

The previous prime is 10228154807099. The next prime is 10228154807113. The reversal of 10228154807112 is 21170845182201.

It is not an unprimeable number, because it can be changed into a prime (10228154807113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575868312 + ... + 575886072.

It is an arithmetic number, because the mean of its divisors is an integer number (218877573600).

Almost surely, 210228154807112 is an apocalyptic number.

10228154807112 is a gapful number since it is divisible by the number (12) 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 10228154807112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14008164710400).

10228154807112 is an abundant number, since it is smaller than the sum of its proper divisors (17788174613688).

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

10228154807112 is a wasteful number, since it uses less digits than its factorization.

10228154807112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27147 (or 27143 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

Adding to 10228154807112 its reverse (21170845182201), we get a palindrome (31398999989313).

The spelling of 10228154807112 in words is "ten trillion, two hundred twenty-eight billion, one hundred fifty-four million, eight hundred seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 239 264 478 717 956 1434 1912 2629 2868 5258 5736 7887 9127 10516 15774 17761 18254 21032 27381 31548 35522 36508 53283 54762 63096 71044 73016 100397 106566 109524 142088 195371 200794 213132 219048 301191 390742 401588 426264 586113 602382 781484 803176 1172226 1204764 1562968 2181353 2344452 2409528 4244879 4362706 4688904 6544059 8489758 8725412 12734637 13088118 16979516 17450824 23994883 25469274 26176236 33959032 46693669 47989766 50938548 52352472 71984649 93387338 95979532 101877096 140081007 143969298 162104647 186774676 191959064 280162014 287938596 324209294 373549352 486313941 560324028 575877192 648418588 972627882 1120648056 1296837176 1783151117 1945255764 3566302234 3890511528 5349453351 7132604468 10698906702 14265208936 21397813404 38743010633 42795626808 77486021266 116229031899 154972042532 232458063798 309944085064 426173116963 464916127596 852346233926 929832255192 1278519350889 1704692467852 2557038701778 3409384935704 5114077403556 10228154807112