Search a number
-
+
1102042133412 = 2231119223399257
BaseRepresentation
bin10000000010010110110…
…101000111001110100100
310220100120012200220010120
4100002112311013032210
5121023440241232122
62202134323321540
7142422426401163
oct20022665071644
93810505626116
101102042133412
11395412066060
121596bb8202b0
137cbcabb523c
143b4a67ad3da
151d9eedd775c
hex10096d473a4

1102042133412 has 144 divisors (see below), whose sum is σ = 2973347237952. Its totient is φ = 315014722560.

The previous prime is 1102042133369. The next prime is 1102042133429. The reversal of 1102042133412 is 2143312402011.

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 47 ways as a sum of consecutive naturals, for example, 11053288 + ... + 11152544.

It is an arithmetic number, because the mean of its divisors is an integer number (20648244708).

Almost surely, 21102042133412 is an apocalyptic number.

1102042133412 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 1102042133412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486673618976).

1102042133412 is an abundant number, since it is smaller than the sum of its proper divisors (1871305104540).

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

1102042133412 is a wasteful number, since it uses less digits than its factorization.

1102042133412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99546 (or 99525 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1102042133412 its reverse (2143312402011), we get a palindrome (3245354535423).

The spelling of 1102042133412 in words is "one trillion, one hundred two billion, forty-two million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 233 361 418 466 627 699 722 836 932 1083 1254 1398 1444 2166 2508 2563 2796 3971 4332 4427 5126 7689 7942 8854 10252 11913 13281 15378 15884 17708 23826 26562 30756 47652 48697 53124 84113 97394 99257 146091 168226 194788 198514 252339 292182 297771 336452 397028 504678 584364 595542 925243 1009356 1091827 1191084 1850486 1885883 2183654 2775729 3275481 3700972 3771766 4367308 5551458 5657649 6550962 7543532 11102916 11315298 13101924 20744713 22630596 23126881 35831777 41489426 46253762 62234139 69380643 71663554 82978852 92507524 107495331 124468278 138761286 143327108 214990662 248936556 254395691 277522572 394149547 429981324 439410739 508791382 763187073 788299094 878821478 1017582764 1182448641 1318232217 1526374146 1576598188 1757642956 2364897282 2636464434 3052748292 4729794564 4833518129 5272928868 8348804041 9667036258 14500554387 16697608082 19334072516 25046412123 29001108774 33395216164 50092824246 58002217548 91836844451 100185648492 183673688902 275510533353 367347377804 551021066706 1102042133412