Search a number
-
+
20122101132111 = 3411173655119927
BaseRepresentation
bin1001001001101000010101…
…01100001010101101001111
32122020122122211021200120000
410210310022230022231033
510114140030342211421
6110443544325055343
74144526265354606
oct444641254125517
978218584250500
1020122101132111
11645880a563880
12230b96ab57553
13b2c676894334
144d7cb4666a3d
1524d64e529226
hex124d0ab0ab4f

20122101132111 has 80 divisors (see below), whose sum is σ = 32987808741888. Its totient is φ = 12122261064000.

The previous prime is 20122101132097. The next prime is 20122101132139. The reversal of 20122101132111 is 11123110122102.

It is a happy number.

20122101132111 is a `hidden beast` number, since 201 + 221 + 0 + 1 + 132 + 111 = 666.

It is not a de Polignac number, because 20122101132111 - 217 = 20122101001039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122101132911) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1009780830 + ... + 1009800756.

Almost surely, 220122101132111 is an apocalyptic number.

20122101132111 is a deficient number, since it is larger than the sum of its proper divisors (12865707609777).

20122101132111 is a wasteful number, since it uses less digits than its factorization.

20122101132111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26674 (or 26665 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 20122101132111 its reverse (11123110122102), we get a palindrome (31245211254213).

The spelling of 20122101132111 in words is "twenty trillion, one hundred twenty-two billion, one hundred one million, one hundred thirty-two thousand, one hundred eleven".

Divisors: 1 3 9 11 27 33 81 99 173 297 519 891 1557 1903 4671 5709 6551 14013 17127 19653 19927 51381 58959 59781 72061 154143 176877 179343 216183 219197 530631 538029 648549 657591 1133323 1614087 1945647 1972773 3399969 3447371 5836941 5918319 10199907 10342113 12466553 17754957 30599721 31026339 37399659 37921081 91799163 93079017 112198977 113763243 130541777 279237051 336596931 341289729 391625331 1009790793 1023869187 1174875993 1435959547 3071607561 3524627979 4307878641 10573883937 12923635923 22583727421 38770907769 67751182263 116312723307 203253546789 248421001631 609760640367 745263004893 1829281921101 2235789014679 6707367044037 20122101132111