Search a number
-
+
11100122011212 = 22313357119925687
BaseRepresentation
bin1010000110000111001011…
…0101000101011001001100
31110022011100120212211110220
42201201302311011121030
52423331022213324322
635335154201431340
72223646241220543
oct241416265053114
943264316784426
1011100122011212
11359a59854a923
1212b334049b550
136269772b2c80
142a536a8b715a
15143b1649555c
hexa1872d4564c

11100122011212 has 48 divisors (see below), whose sum is σ = 27900426554112. Its totient is φ = 3414465552960.

The previous prime is 11100122011193. The next prime is 11100122011219. The reversal of 11100122011212 is 21211022100111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11100122011191 and 11100122011200.

It is not an unprimeable number, because it can be changed into a prime (11100122011219) 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 15 ways as a sum of consecutive naturals, for example, 9405768 + ... + 10519919.

It is an arithmetic number, because the mean of its divisors is an integer number (581258886544).

Almost surely, 211100122011212 is an apocalyptic number.

11100122011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11100122011212 is an abundant number, since it is smaller than the sum of its proper divisors (16800304542900).

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

11100122011212 is a wasteful number, since it uses less digits than its factorization.

11100122011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19929278 (or 19929276 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11100122011212 its reverse (21211022100111), we get a palindrome (32311144111323).

The spelling of 11100122011212 in words is "eleven trillion, one hundred billion, one hundred twenty-two million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 3571 7142 10713 14284 21426 42852 46423 92846 139269 185692 278538 557076 19925687 39851374 59777061 79702748 119554122 239108244 259033931 518067862 777101793 1036135724 1554203586 3108407172 71154628277 142309256554 213463884831 284618513108 426927769662 853855539324 925010167601 1850020335202 2775030502803 3700040670404 5550061005606 11100122011212