Search a number
-
+
112122141221211 = 31121017514072147
BaseRepresentation
bin11001011111100101111000…
…011001100010000101011011
3112200222202211210122112212220
4121133211320121202011123
5104144002121123034321
61034244111155035123
732421362116336512
oct3137457031420533
9480882753575786
10112122141221211
11327a8807779300
12106aa03229baa3
134a740c3511394
141d98a52273679
15ce684a6519c6
hex65f97866215b

112122141221211 has 48 divisors (see below), whose sum is σ = 166170221382144. Its totient is φ = 67190409000000.

The previous prime is 112122141221203. The next prime is 112122141221239.

112122141221211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112122141221211 - 23 = 112122141221203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112122141221281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25497840 + ... + 29569986.

It is an arithmetic number, because the mean of its divisors is an integer number (3461879612128).

Almost surely, 2112122141221211 is an apocalyptic number.

112122141221211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112122141221211 is a deficient number, since it is larger than the sum of its proper divisors (54048080160933).

112122141221211 is a wasteful number, since it uses less digits than its factorization.

112122141221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073024 (or 4073013 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

The spelling of 112122141221211 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred forty-one million, two hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 11 33 101 121 303 363 751 1111 2253 3333 8261 12221 24783 36663 75851 90871 227553 272613 834361 2503083 4072147 9177971 12216441 27533913 44793617 134380851 411286847 492729787 1233860541 1478189361 3058182397 4524155317 9174547191 13572465951 33640006367 49765708487 100920019101 149297125461 308876422097 370040070037 926629266291 1110120210111 3397640643067 10192921929201 37374047073737 112122141221211