Search a number
-
+
10132203011100 = 223522314531010623
BaseRepresentation
bin1001001101110001011001…
…0111000111110000011100
31022212121222122112001112220
42103130112113013300130
52312001222432323400
633314400402225340
72064012302401452
oct223342627076034
938777878461486
1010132203011100
1132570524a9a85
121177832355250
13586602577101
1427058901a9d2
151288663ba7a0
hex937165c7c1c

10132203011100 has 144 divisors (see below), whose sum is σ = 30611526070272. Its totient is φ = 2582664733440.

The previous prime is 10132203011087. The next prime is 10132203011173. The reversal of 10132203011100 is 111030223101.

It is a happy number.

10132203011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10132203011100.

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, 9520389 + ... + 10531011.

Almost surely, 210132203011100 is an apocalyptic number.

10132203011100 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 10132203011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305763035136).

10132203011100 is an abundant number, since it is smaller than the sum of its proper divisors (20479323059172).

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

10132203011100 is a wasteful number, since it uses less digits than its factorization.

10132203011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012116 (or 1012109 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10132203011100 its reverse (111030223101), we get a palindrome (10243233234201).

The spelling of 10132203011100 in words is "ten trillion, one hundred thirty-two billion, two hundred three million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1453 1725 2300 2906 3450 4359 5812 6900 7265 8718 14530 17436 21795 29060 33419 36325 43590 66838 72650 87180 100257 108975 133676 145300 167095 200514 217950 334190 401028 435900 501285 668380 835475 1002570 1010623 1670950 2005140 2021246 2506425 3031869 3341900 4042492 5012850 5053115 6063738 10025700 10106230 12127476 15159345 20212460 23244329 25265575 30318690 46488658 50531150 60637380 69732987 75796725 92977316 101062300 116221645 139465974 151593450 232443290 278931948 303186900 348664935 464886580 581108225 697329870 1162216450 1394659740 1468435219 1743324675 2324432900 2936870438 3486649350 4405305657 5873740876 6973298700 7342176095 8810611314 14684352190 17621222628 22026528285 29368704380 33774010037 36710880475 44053056570 67548020074 73421760950 88106113140 101322030111 110132641425 135096040148 146843521900 168870050185 202644060222 220265282850 337740100370 405288120444 440530565700 506610150555 675480200740 844350250925 1013220301110 1688700501850 2026440602220 2533050752775 3377401003700 5066101505550 10132203011100