Search a number
-
+
1132113030102 = 233101337615949
BaseRepresentation
bin10000011110010111001…
…100011110101111010110
311000020011220101201111000
4100132113030132233112
5122022031413430402
62224030251124130
7144535546660005
oct20362714365726
94006156351430
101132113030102
113a714332289a
121634b2443646
13829b0b71032
143cb1a3d0c3c
151e6aed67c1c
hex1079731ebd6

1132113030102 has 64 divisors (see below), whose sum is σ = 2548259064000. Its totient is φ = 372525350400.

The previous prime is 1132113030101. The next prime is 1132113030109. The reversal of 1132113030102 is 2010303112311.

1132113030102 is a `hidden beast` number, since 11 + 321 + 1 + 30 + 301 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132113030101) 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 31 ways as a sum of consecutive naturals, for example, 1530024 + ... + 2145972.

It is an arithmetic number, because the mean of its divisors is an integer number (39816547875).

Almost surely, 21132113030102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132113030102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274129532000).

1132113030102 is an abundant number, since it is smaller than the sum of its proper divisors (1416146033898).

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

1132113030102 is a wasteful number, since it uses less digits than its factorization.

1132113030102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616398 (or 616392 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1132113030102 its reverse (2010303112311), we get a palindrome (3142416142413).

The spelling of 1132113030102 in words is "one trillion, one hundred thirty-two billion, one hundred thirteen million, thirty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 337 606 674 909 1011 1818 2022 2727 3033 5454 6066 9099 18198 34037 68074 102111 204222 306333 612666 615949 918999 1231898 1837998 1847847 3695694 5543541 11087082 16630623 33261246 62210849 124421698 186632547 207574813 373265094 415149626 559897641 622724439 1119795282 1245448878 1679692923 1868173317 3359385846 3736346634 5604519951 11209039902 20965056113 41930112226 62895168339 125790336678 188685505017 377371010034 566056515051 1132113030102