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101132122200 = 23352374555501
BaseRepresentation
bin101111000101111110…
…0011011100001011000
3100200001001221002221120
41132023330123201120
53124104310402300
6114243124205240
710210101566214
oct1361374334130
9320031832846
10101132122200
11399874a028a
1217724b39820
1396c9229335
144c75561944
15296d8183a0
hex178bf1b858

101132122200 has 96 divisors (see below), whose sum is σ = 321982881360. Its totient is φ = 26239680000.

The previous prime is 101132122199. The next prime is 101132122249. The reversal of 101132122200 is 2221231101.

It is a super-2 number, since 2×1011321222002 (a number of 23 digits) contains 22 as substring.

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 101132122200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2255551 + ... + 2299950.

Almost surely, 2101132122200 is an apocalyptic number.

101132122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101132122200 is an abundant number, since it is smaller than the sum of its proper divisors (220850759160).

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

101132122200 is a wasteful number, since it uses less digits than its factorization.

101132122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555557 (or 4555548 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101132122200 its reverse (2221231101), we get a palindrome (103353353301).

The spelling of 101132122200 in words is "one hundred one billion, one hundred thirty-two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 4555501 9111002 13666503 18222004 22777505 27333006 36444008 45555010 54666012 68332515 91110020 109332024 113887525 136665030 168553537 182220040 227775050 273330060 337107074 341662575 455550100 505660611 546660120 674214148 683325150 842767685 911100200 1011321222 1348428296 1366650300 1685535370 2022642444 2528303055 2733300600 3371070740 4045284888 4213838425 5056606110 6742141480 8427676850 10113212220 12641515275 16855353700 20226424440 25283030550 33710707400 50566061100 101132122200