Search a number
-
+
101122013223 = 33711172861161
BaseRepresentation
bin101111000101101010…
…1110111100000100111
3100200000100220112001000
41132023111313200213
53124044213410343
6114242123404343
710206616634040
oct1361325674047
9320010815030
10101122013223
1139981816260
12177216836b3
1396c70c9caa
144c7408d8c7
15296c9bced3
hex178b577827

101122013223 has 64 divisors (see below), whose sum is σ = 197763517440. Its totient is φ = 49440844800.

The previous prime is 101122013207. The next prime is 101122013227. The reversal of 101122013223 is 322310221101.

It is not a de Polignac number, because 101122013223 - 24 = 101122013207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122013196 and 101122013205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122013227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395238 + ... + 1465923.

It is an arithmetic number, because the mean of its divisors is an integer number (3090054960).

Almost surely, 2101122013223 is an apocalyptic number.

101122013223 is a deficient number, since it is larger than the sum of its proper divisors (96641504217).

101122013223 is a wasteful number, since it uses less digits than its factorization.

101122013223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861205 (or 2861199 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101122013223 its reverse (322310221101), we get a palindrome (423432234324).

The spelling of 101122013223 in words is "one hundred one billion, one hundred twenty-two million, thirteen thousand, two hundred twenty-three".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 99 119 153 187 189 231 297 357 459 561 693 1071 1309 1683 2079 3213 3927 5049 11781 35343 2861161 8583483 20028127 25750449 31472771 48639737 60084381 77251347 94418313 145919211 180253143 220309397 283254939 340478159 437757633 535037107 540759429 660928191 849764817 1021434477 1313272899 1605111321 1982784573 3064303431 3745259749 4815333963 5948353719 9192910293 11235779247 14446001889 33707337741 101122013223