Search a number
-
+
11222100002100 = 22352132877461539
BaseRepresentation
bin1010001101001101100101…
…0010001100010100110100
31110201211012102222210101010
42203103121102030110310
52432330330100031400
635511210033232220
72235525046100331
oct243233122142464
943654172883333
1011222100002100
1136372a1989859
121312b02702670
13635316209940
142ab21c7c9988
15146da4e12450
hexa34d948c534

11222100002100 has 72 divisors (see below), whose sum is σ = 34966912634080. Its totient is φ = 2762363076480.

The previous prime is 11222100002083. The next prime is 11222100002107. The reversal of 11222100002100 is 120000122211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222100002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1438726870 + ... + 1438734669.

Almost surely, 211222100002100 is an apocalyptic number.

11222100002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222100002100 is an abundant number, since it is smaller than the sum of its proper divisors (23744812631980).

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

11222100002100 is a wasteful number, since it uses less digits than its factorization.

11222100002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877461569 (or 2877461562 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11222100002100 its reverse (120000122211), we get a palindrome (11342100124311).

The spelling of 11222100002100 in words is "eleven trillion, two hundred twenty-two billion, one hundred million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 2877461539 5754923078 8632384617 11509846156 14387307695 17264769234 28774615390 34529538468 37407000007 43161923085 57549230780 71936538475 74814000014 86323846170 112221000021 143873076950 149628000028 172647692340 187035000035 215809615425 224442000042 287746153900 374070000070 431619230850 448884000084 561105000105 748140000140 863238461700 935175000175 1122210000210 1870350000350 2244420000420 2805525000525 3740700000700 5611050001050 11222100002100