Search a number
-
+
1110132332133 = 3112731371911601
BaseRepresentation
bin10000001001111001000…
…010110001011001100101
310221010110000211120102020
4100021321002301121211
5121142022334112013
62205553204333353
7143130054062316
oct20117102613145
93833400746366
101110132332133
11398893840100
1215b1990a4259
13808ba019886
143ba3303660d
151dd2529d623
hex102790b1665

1110132332133 has 96 divisors (see below), whose sum is σ = 1671037433856. Its totient is φ = 654888960000.

The previous prime is 1110132332119. The next prime is 1110132332143. The reversal of 1110132332133 is 3312332310111.

It is not a de Polignac number, because 1110132332133 - 213 = 1110132323941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110132332143) 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 95 ways as a sum of consecutive naturals, for example, 693398533 + ... + 693400133.

It is an arithmetic number, because the mean of its divisors is an integer number (17406639936).

Almost surely, 21110132332133 is an apocalyptic number.

It is an amenable number.

1110132332133 is a deficient number, since it is larger than the sum of its proper divisors (560905101723).

1110132332133 is a wasteful number, since it uses less digits than its factorization.

1110132332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1110132332133 its reverse (3312332310111), we get a palindrome (4422464642244).

The spelling of 1110132332133 in words is "one trillion, one hundred ten billion, one hundred thirty-two million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 11 33 73 121 137 191 219 363 411 573 803 1507 1601 2101 2409 4521 4803 6303 8833 10001 13943 16577 17611 23111 26167 26499 30003 41829 49731 52833 69333 78501 110011 116873 153373 193721 219337 287837 305791 330033 350619 460119 581163 658011 863511 917373 1210121 1285603 1687103 1910191 2412707 3166207 3363701 3630363 3856809 5061309 5730573 7238121 9498621 10091103 14141633 16011601 21012101 22322743 26539777 37000711 41893367 42424899 48034803 63036303 66968229 79619331 111002133 125680101 176127611 231133111 245550173 460827037 528382833 693399333 736650519 1382481111 1937403721 2701051903 3058215791 5069097407 5812211163 8103155709 9174647373 15207292221 33640373701 100921121103 370044110711 1110132332133