Search a number
-
+
1311101166222 = 232196835612927
BaseRepresentation
bin10011000101000011101…
…110000010001010001110
311122100011220011010102200
4103011003232002022032
5132440113344304342
62442151144102330
7163503211014441
oct23050356021216
94570156133380
101311101166222
11466042478731
121921251649a6
1396836c83353
1447659a71658
15241887e994c
hex13143b8228e

1311101166222 has 48 divisors (see below), whose sum is σ = 2994609346560. Its totient is φ = 413425677456.

The previous prime is 1311101166197. The next prime is 1311101166223. The reversal of 1311101166222 is 2226611011131.

1311101166222 is a `hidden beast` number, since 1 + 3 + 11 + 10 + 1 + 16 + 622 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311101166223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2572878 + ... + 3040049.

It is an arithmetic number, because the mean of its divisors is an integer number (62387694720).

Almost surely, 21311101166222 is an apocalyptic number.

1311101166222 is an abundant number, since it is smaller than the sum of its proper divisors (1683508180338).

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

1311101166222 is a wasteful number, since it uses less digits than its factorization.

1311101166222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613637 (or 5613634 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 1311101166222 its reverse (2226611011131), we get a palindrome (3537712177353).

The spelling of 1311101166222 in words is "one trillion, three hundred eleven billion, one hundred one million, one hundred sixty-six thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 683 1366 2049 4098 6147 12294 12977 25954 38931 77862 116793 233586 5612927 11225854 16838781 33677562 50516343 101032686 106645613 213291226 319936839 639873678 959810517 1919621034 3833629141 7667258282 11500887423 23001774846 34502662269 69005324538 72838953679 145677907358 218516861037 437033722074 655550583111 1311101166222