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211122011012 = 221131419369407
BaseRepresentation
bin1100010010011111011…
…0100011101110000100
3202011221110022101101012
43010213312203232010
511424334213323022
6240553233221352
721152541325043
oct3044766435604
9664843271335
10211122011012
1181599964740
1234b00401858
1316ba75c5b93
14a30b27255a
155759ab4de2
hex3127da3b84

211122011012 has 48 divisors (see below), whose sum is σ = 417046855680. Its totient is φ = 92647024800.

The previous prime is 211122010993. The next prime is 211122011017. The reversal of 211122011012 is 210110221112.

211122011012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211122011017) 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, 386813 + ... + 756219.

It is an arithmetic number, because the mean of its divisors is an integer number (8688476160).

Almost surely, 2211122011012 is an apocalyptic number.

211122011012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211122011012 is a deficient number, since it is larger than the sum of its proper divisors (205924844668).

211122011012 is a wasteful number, since it uses less digits than its factorization.

211122011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369872 (or 369870 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211122011012 its reverse (210110221112), we get a palindrome (421232232124).

The spelling of 211122011012 in words is "two hundred eleven billion, one hundred twenty-two million, eleven thousand, twelve".

Divisors: 1 2 4 11 22 31 44 62 124 341 419 682 838 1364 1676 4609 9218 12989 18436 25978 51956 142879 285758 369407 571516 738814 1477628 4063477 8126954 11451617 16253908 22903234 45806468 125967787 154781533 251935574 309563066 503871148 619126132 1702596863 3405193726 4798227523 6810387452 9596455046 19192910092 52780502753 105561005506 211122011012