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11330130132 = 22321093737741
BaseRepresentation
bin10101000110101010…
…00001000011010100
31002020121122020122100
422203111001003110
5141201003131012
65112140002100
7550525342236
oct124325010324
932217566570
1011330130132
114894621512
122242530330
1310b7444719
14796a88256
15464a508dc
hex2a35410d4

11330130132 has 72 divisors (see below), whose sum is σ = 28984035080. Its totient is φ = 3731546880.

The previous prime is 11330130079. The next prime is 11330130191. The reversal of 11330130132 is 23103103311.

It is a happy number.

11330130132 is a `hidden beast` number, since 1 + 1 + 330 + 1 + 301 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1393230276 + 9936899856 = 37326^2 + 99684^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459782 + ... + 1467522.

Almost surely, 211330130132 is an apocalyptic number.

11330130132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11330130132 is an abundant number, since it is smaller than the sum of its proper divisors (17653904948).

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

11330130132 is a wasteful number, since it uses less digits than its factorization.

11330130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11330130132 its reverse (23103103311), we get a palindrome (34433233443).

The spelling of 11330130132 in words is "eleven billion, three hundred thirty million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 373 436 654 746 981 1119 1308 1492 1962 2238 3357 3924 4476 6714 7741 13428 15482 23223 30964 40657 46446 69669 81314 92892 121971 139338 162628 243942 278676 365913 487884 731826 843769 1463652 1687538 2531307 2887393 3375076 5062614 5774786 7593921 8662179 10125228 11549572 15187842 17324358 25986537 30375684 34648716 51973074 103946148 314725837 629451674 944177511 1258903348 1888355022 2832532533 3776710044 5665065066 11330130132