Search a number
-
+
1110222141231 = 37261397311869
BaseRepresentation
bin10000001001111110011…
…001010111011100101111
310221010200021211100100010
4100021332121113130233
5121142213332004411
62210010133304303
7143132224331400
oct20117631273457
93833607740303
101110222141231
1139892a500aa5
1215b203195093
1380902802958
143ba40d339a7
151dd2d0dd7a6
hex1027e65772f

1110222141231 has 48 divisors (see below), whose sum is σ = 1754620539360. Its totient is φ = 622438629120.

The previous prime is 1110222141221. The next prime is 1110222141253. The reversal of 1110222141231 is 1321412220111.

It is not a de Polignac number, because 1110222141231 - 29 = 1110222140719 is a prime.

It is a super-2 number, since 2×11102221412312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1110222141198 and 1110222141207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110222141221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3403965 + ... + 3715833.

It is an arithmetic number, because the mean of its divisors is an integer number (36554594570).

Almost surely, 21110222141231 is an apocalyptic number.

1110222141231 is a deficient number, since it is larger than the sum of its proper divisors (644398398129).

1110222141231 is a wasteful number, since it uses less digits than its factorization.

1110222141231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312344 (or 312337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1110222141231 its reverse (1321412220111), we get a palindrome (2431634361342).

The spelling of 1110222141231 in words is "one trillion, one hundred ten billion, two hundred twenty-two million, one hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 7 21 49 61 147 183 397 427 1191 1281 2779 2989 8337 8967 19453 24217 58359 72651 169519 311869 508557 935607 1186633 2183083 3559899 6549249 15281581 19024009 45844743 57072027 123811993 133168063 371435979 399504189 866683951 932176441 2600051853 2796529323 6066787657 7552531573 18200362971 22657594719 52867721011 158603163033 370074047077 1110222141231