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1112412233104 = 2417311039831303
BaseRepresentation
bin10000001100000000111…
…011111001110110010000
310221100022220212112120221
4100030000323321312100
5121211210012424404
62211011330442424
7143240416653034
oct20140073716620
93840286775527
101112412233104
11399853783487
1215b714733414
1380b914754c3
143bbabb521c4
151de0a4ee954
hex10300ef9d90

1112412233104 has 160 divisors (see below), whose sum is σ = 2382814347264. Its totient is φ = 500787947520.

The previous prime is 1112412233083. The next prime is 1112412233131. The reversal of 1112412233104 is 4013322142111.

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, 853730917 + ... + 853732219.

Almost surely, 21112412233104 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 1112412233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191407173632).

1112412233104 is an abundant number, since it is smaller than the sum of its proper divisors (1270402114160).

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

1112412233104 is a wasteful number, since it uses less digits than its factorization.

1112412233104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1112412233104 its reverse (4013322142111), we get a palindrome (5125734375215).

The spelling of 1112412233104 in words is "one trillion, one hundred twelve billion, four hundred twelve million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 17 31 34 62 68 103 124 136 206 248 272 412 496 527 824 983 1054 1303 1648 1751 1966 2108 2606 3193 3502 3932 4216 5212 6386 7004 7864 8432 10424 12772 14008 15728 16711 20848 22151 25544 28016 30473 33422 40393 44302 51088 54281 60946 66844 80786 88604 101249 108562 121892 133688 134209 161572 177208 202498 217124 243784 267376 268418 323144 354416 404996 434248 487568 518041 536836 646288 686681 809992 868496 1036082 1073672 1280849 1373362 1619984 1721233 2072164 2147344 2281553 2561698 2746724 3138719 3442466 4144328 4160479 4563106 5123396 5493448 6277438 6884932 8288656 8320958 9126212 10246792 10986896 12554876 13769864 16641916 18252424 20493584 21774433 25109752 27539728 33283832 36504848 39706319 43548866 50219504 53358223 66567664 70728143 79412638 87097732 106716446 131927447 141456286 158825276 174195464 213432892 263854894 282912572 317650552 348390928 426865784 527709788 565825144 635301104 675007423 853731568 1055419576 1131650288 1350014846 2110839152 2242766599 2700029692 4089750857 4485533198 5400059384 8179501714 8971066396 10800118768 16359003428 17942132792 32718006856 35884265584 65436013712 69525764569 139051529138 278103058276 556206116552 1112412233104