Search a number
-
+
103232311003100 = 2252107166317213371
BaseRepresentation
bin10111011110001110100101…
…001110100000011111011100
3111112111220122020201111212202
4113132032211032200133130
5102012324233104044400
61003320134033151032
730513200621301506
oct2736164516403734
9445456566644782
10103232311003100
112a9906393339a4
12b6b31440bb478
13457a9c4085556
141b6c683128d76
15be0498e084d5
hex5de3a53a07dc

103232311003100 has 144 divisors (see below), whose sum is σ = 226442282766336. Its totient is φ = 40846535232000.

The previous prime is 103232311003051. The next prime is 103232311003181. The reversal of 103232311003100 is 1300113232301.

It is a super-2 number, since 2×1032323110031002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30623644415 + ... + 30623647785.

It is an arithmetic number, because the mean of its divisors is an integer number (1572515852544).

Almost surely, 2103232311003100 is an apocalyptic number.

103232311003100 is a gapful number since it is divisible by the number (10) 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 103232311003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113221141383168).

103232311003100 is an abundant number, since it is smaller than the sum of its proper divisors (123209971763236).

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

103232311003100 is a wasteful number, since it uses less digits than its factorization.

103232311003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 103232311003100 its reverse (1300113232301), we get a palindrome (104532424235401).

The spelling of 103232311003100 in words is "one hundred three trillion, two hundred thirty-two billion, three hundred eleven million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 1663 1721 2140 2675 3326 3371 3442 5350 6652 6742 6884 8315 8605 10700 13484 16630 16855 17210 33260 33710 34420 41575 43025 67420 83150 84275 86050 166300 168550 172100 177941 184147 337100 355882 360697 368294 711764 721394 736588 889705 920735 1442788 1779410 1803485 1841470 2862023 3558820 3606970 3682940 4448525 4603675 5605973 5724046 5801491 7213940 8897050 9017425 9207350 11211946 11448092 11602982 14310115 17794100 18034850 18414700 22423892 23205964 28029865 28620230 29007455 36069700 56059730 57240460 58014910 71550575 112119460 116029820 140149325 143101150 145037275 280298650 286202300 290074550 306236461 560597300 580149100 599839111 612472922 620759537 1199678222 1224945844 1241519074 1531182305 2399356444 2483038148 2999195555 3062364610 3103797685 5998391110 6124729220 6207595370 7655911525 9647879533 11996782220 12415190740 14995977775 15311823050 15518988425 19295759066 29991955550 30623646100 31037976850 38591518132 48239397665 59983911100 62075953700 96478795330 192957590660 241196988325 482393976650 964787953300 1032323110031 2064646220062 4129292440124 5161615550155 10323231100310 20646462200620 25808077750775 51616155501550 103232311003100