Search a number
-
+
1102239977808 = 243234330797541
BaseRepresentation
bin10000000010100010100…
…111110101000101010000
310220101001222222102121210
4100002202213311011100
5121024341413242213
62202210112020120
7142430351140044
oct20024247650520
93811058872553
101102239977808
11395503806522
12159755b31640
137cc2cb96328
143b4c4b90024
151da124680c3
hex100a29f5150

1102239977808 has 160 divisors (see below), whose sum is σ = 3041745315840. Its totient is φ = 343108846080.

The previous prime is 1102239977743. The next prime is 1102239977849. The reversal of 1102239977808 is 8087799322011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146162518 + ... + 146170058.

It is an arithmetic number, because the mean of its divisors is an integer number (19010908224).

Almost surely, 21102239977808 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 1102239977808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520872657920).

1102239977808 is an abundant number, since it is smaller than the sum of its proper divisors (1939505338032).

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

1102239977808 is a wasteful number, since it uses less digits than its factorization.

1102239977808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10697 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 1102239977808 in words is "one trillion, one hundred two billion, two hundred thirty-nine million, nine hundred seventy-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 43 46 48 69 86 92 129 138 172 184 258 276 344 368 516 552 688 989 1032 1104 1978 2064 2967 3079 3956 5934 6158 7541 7912 9237 11868 12316 15082 15824 18474 22623 23736 24632 30164 36948 45246 47472 49264 60328 70817 73896 90492 120656 132397 141634 147792 173443 180984 212451 264794 283268 324263 346886 361968 397191 424902 520329 529588 566536 648526 693772 794382 849804 972789 1040658 1059176 1133072 1297052 1387544 1588764 1699608 1945578 2081316 2118352 2594104 2775088 3045131 3177528 3399216 3891156 4162632 5188208 6090262 6355056 7458049 7782312 8325264 9135393 12180524 14916098 15564624 18270786 22374147 23218739 24361048 29832196 36541572 44748294 46437478 48722096 59664392 69656217 73083144 89496588 92874956 119328784 139312434 146166288 178993176 185749912 278624868 357986352 371499824 534030997 557249736 998405777 1068061994 1114499472 1602092991 1996811554 2136123988 2995217331 3204185982 3993623108 4272247976 5990434662 6408371964 7987246216 8544495952 11980869324 12816743928 15974492432 22963332871 23961738648 25633487856 45926665742 47923477296 68889998613 91853331484 137779997226 183706662968 275559994452 367413325936 551119988904 1102239977808