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1101230213226 = 2311131737619749
BaseRepresentation
bin10000000001100110011…
…011111000100001101010
310220021110121221002000120
4100001212123320201222
5121020304413310401
62201522001144110
7142363340240013
oct20014633704152
93807417832016
101101230213226
11395035823440
1215951392b036
137cacb91a7b0
143b42aa2000a
151d9a39a8836
hex100666f886a

1101230213226 has 128 divisors (see below), whose sum is σ = 2606149728000. Its totient is φ = 305822054400.

The previous prime is 1101230213189. The next prime is 1101230213227. The reversal of 1101230213226 is 6223120321011.

It is a junction number, because it is equal to n+sod(n) for n = 1101230213196 and 1101230213205.

It is not an unprimeable number, because it can be changed into a prime (1101230213227) 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 63 ways as a sum of consecutive naturals, for example, 112953400 + ... + 112963148.

It is an arithmetic number, because the mean of its divisors is an integer number (20360544750).

Almost surely, 21101230213226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101230213226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303074864000).

1101230213226 is an abundant number, since it is smaller than the sum of its proper divisors (1504919514774).

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

1101230213226 is a wasteful number, since it uses less digits than its factorization.

1101230213226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10712.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1101230213226 its reverse (6223120321011), we get a palindrome (7324350534237).

The spelling of 1101230213226 in words is "one trillion, one hundred one billion, two hundred thirty million, two hundred thirteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 173 286 346 429 519 761 858 1038 1522 1903 2249 2283 3806 4498 4566 5709 6747 8371 9749 9893 11418 13494 16742 19498 19786 24739 25113 29247 29679 49478 50226 58494 59358 74217 107239 108823 126737 131653 148434 214478 217646 253474 263306 321717 326469 380211 394959 643434 652938 760422 789918 1394107 1448183 1686577 1711489 2788214 2896366 3373154 3422978 4182321 4344549 5059731 5134467 7418989 8364642 8689098 10119462 10268934 14837978 18552347 18826379 21925501 22256967 37104694 37652758 43851002 44513934 55657041 56479137 65776503 81608879 96446857 111314082 112958274 131553006 163217758 192893714 241180511 244826637 289340571 482361022 489653274 578681142 723541533 1060915427 1283485097 1447083066 2121830854 2566970194 3182746281 3850455291 6365492562 7700910582 14118336067 16685306261 28236672134 33370612522 42355008201 50055918783 84710016402 100111837566 183538368871 367076737742 550615106613 1101230213226