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11532430100 = 2252373116873
BaseRepresentation
bin10101011110110001…
…01110101100010100
31002202201022011000202
422233120232230110
5142104300230400
65144204000032
7555533016122
oct125730565424
932681264022
1011532430100
114988835474
12229a230018
13111a325849
147b58a8912
154776b14d5
hex2af62eb14

11532430100 has 36 divisors (see below), whose sum is σ = 25701743004. Its totient is φ = 4488295680.

The previous prime is 11532430073. The next prime is 11532430109. The reversal of 11532430100 is 103423511.

It can be written as a sum of positive squares in 6 ways, for example, as 75724804 + 11456705296 = 8702^2 + 107036^2 .

It is a super-3 number, since 3×115324301003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11532430109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1554737 + ... + 1562136.

Almost surely, 211532430100 is an apocalyptic number.

11532430100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11532430100 is an abundant number, since it is smaller than the sum of its proper divisors (14169312904).

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

11532430100 is a wasteful number, since it uses less digits than its factorization.

11532430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116924 (or 3116917 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 11532430100 its reverse (103423511), we get a palindrome (11635853611).

The spelling of 11532430100 in words is "eleven billion, five hundred thirty-two million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 3116873 6233746 12467492 15584365 31168730 62337460 77921825 115324301 155843650 230648602 311687300 461297204 576621505 1153243010 2306486020 2883107525 5766215050 11532430100