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13311123294 = 2373167331461
BaseRepresentation
bin11000110010110011…
…11001111101011110
31021100200020010101110
430121121321331132
5204230121421134
610040503322450
7650601452430
oct143131717536
937320203343
1013311123294
115710866a47
1226b5a50426
131341995721
14903bd6650
1552d90b7e9
hex319679f5e

13311123294 has 128 divisors (see below), whose sum is σ = 32041304064. Its totient is φ = 3606768000.

The previous prime is 13311123277. The next prime is 13311123299. The reversal of 13311123294 is 49232111331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311123299) 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, 28874224 + ... + 28874684.

It is an arithmetic number, because the mean of its divisors is an integer number (250322688).

Almost surely, 213311123294 is an apocalyptic number.

13311123294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311123294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020652032).

13311123294 is an abundant number, since it is smaller than the sum of its proper divisors (18730180770).

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

13311123294 is a wasteful number, since it uses less digits than its factorization.

13311123294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902.

The product of its digits is 3888, while the sum is 30.

The spelling of 13311123294 in words is "thirteen billion, three hundred eleven million, one hundred twenty-three thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 67 93 134 186 201 217 331 402 434 461 469 651 662 922 938 993 1302 1383 1407 1986 2077 2317 2766 2814 3227 4154 4634 6231 6454 6951 9681 10261 12462 13902 14291 14539 19362 20522 22177 28582 29078 30783 30887 42873 43617 44354 61566 61774 66531 71827 85746 87234 92661 100037 133062 143654 152591 155239 185322 200074 215481 216209 300111 305182 310478 430962 432418 457773 465717 600222 648627 687487 915546 931434 957497 1068137 1297254 1374974 1914994 2062461 2136274 2872491 3204411 4124922 4730321 4812409 5744982 6408822 6702479 9460642 9624818 10223597 13404958 14190963 14437227 20107437 20447194 28381926 28874454 30670791 33112247 40214874 61341582 66224494 71565179 99336741 143130358 198673482 214695537 316931507 429391074 633863014 950794521 1901589042 2218520549 4437041098 6655561647 13311123294