Search a number
-
+
222101110002112 = 26113110176920363
BaseRepresentation
bin110010011111111111110001…
…110001000001000111000000
31002010101122210020020201002021
4302133333301301001013000
5213102401033130031422
62104211501422531224
764532163360564655
oct6237776161010700
91063348706221067
10222101110002112
116484a608483290
1220ab0824436b14
1396c1077589ba3
143cbba72d75c2c
151aa255d7ebdc7
hexc9fff1c411c0

222101110002112 has 56 divisors (see below), whose sum is σ = 496308052311552. Its totient is φ = 97698435475200.

The previous prime is 222101110002089. The next prime is 222101110002181. The reversal of 222101110002112 is 211200011101222.

222101110002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5088438358 + ... + 5088482005.

Almost surely, 2222101110002112 is an apocalyptic number.

222101110002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222101110002112 is an abundant number, since it is smaller than the sum of its proper divisors (274206942309440).

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

222101110002112 is a wasteful number, since it uses less digits than its factorization.

222101110002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10176920417 (or 10176920407 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 222101110002112 its reverse (211200011101222), we get a palindrome (433301121103334).

The spelling of 222101110002112 in words is "two hundred twenty-two trillion, one hundred one billion, one hundred ten million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1984 2728 5456 10912 21824 10176920363 20353840726 40707681452 81415362904 111946123993 162830725808 223892247986 315484531253 325661451616 447784495972 630969062506 651322903232 895568991944 1261938125012 1791137983888 2523876250024 3470329843783 3582275967776 5047752500048 6940659687566 7164551935552 10095505000096 13881319375132 20191010000192 27762638750264 55525277500528 111050555001056 222101110002112