Search a number
-
+
122101200100 = 225211139798569
BaseRepresentation
bin111000110110111001…
…1000111010011100100
3102200011102221122011101
41301231303013103210
54000030401400400
6132031552245444
711551532035135
oct1615563072344
9380142848141
10122101200100
1147867a42930
121b7b7540884
13b68b605539
145ca4425c8c
1532996a856a
hex1c6dcc74e4

122101200100 has 72 divisors (see below), whose sum is σ = 291126679200. Its totient is φ = 44080953600.

The previous prime is 122101200097. The next prime is 122101200101. The reversal of 122101200100 is 1002101221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (122101200101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246385 + ... + 552184.

It is an arithmetic number, because the mean of its divisors is an integer number (4043426100).

Almost surely, 2122101200100 is an apocalyptic number.

122101200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101200100 is an abundant number, since it is smaller than the sum of its proper divisors (169025479100).

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

122101200100 is a wasteful number, since it uses less digits than its factorization.

122101200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798733 (or 798726 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122101200100 its reverse (1002101221), we get a palindrome (123103301321).

The spelling of 122101200100 in words is "one hundred twenty-two billion, one hundred one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 139 220 275 278 550 556 695 1100 1390 1529 2780 3058 3475 6116 6950 7645 13900 15290 30580 38225 76450 152900 798569 1597138 3194276 3992845 7985690 8784259 15971380 17568518 19964225 35137036 39928450 43921295 79856900 87842590 111001091 175685180 219606475 222002182 439212950 444004364 555005455 878425900 1110010910 1221012001 2220021820 2442024002 2775027275 4884048004 5550054550 6105060005 11100109100 12210120010 24420240020 30525300025 61050600050 122101200100