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11132640113 = 721923312541
BaseRepresentation
bin10100101111000111…
…01001101101110001
31001201212000201021012
422113203221231301
5140244423440423
65040403040305
7542606610500
oct122743515561
931655021235
1011132640113
1147a30a3321
1221a8370095
131085558a1a
1477875a837
15452540078
hex2978e9b71

11132640113 has 72 divisors (see below), whose sum is σ = 14725316160. Its totient is φ = 8352590400.

The previous prime is 11132640053. The next prime is 11132640131. The reversal of 11132640113 is 31104623111.

It is a happy number.

It is not a de Polignac number, because 11132640113 - 212 = 11132636017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11132640143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20577623 + ... + 20578163.

It is an arithmetic number, because the mean of its divisors is an integer number (204518280).

Almost surely, 211132640113 is an apocalyptic number.

It is an amenable number.

11132640113 is a deficient number, since it is larger than the sum of its proper divisors (3592676047).

11132640113 is a wasteful number, since it uses less digits than its factorization.

11132640113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 11132640113 in words is "eleven billion, one hundred thirty-two million, six hundred forty thousand, one hundred thirteen".

Divisors: 1 7 19 23 31 49 133 161 217 437 541 589 713 931 961 1127 1519 3059 3787 4123 4991 6727 10279 12443 13547 16771 18259 21413 22103 26509 28861 34937 47089 71953 87101 94829 117397 127813 154721 236417 318649 385733 419957 503671 519901 609707 663803 821779 894691 1083047 1654919 2230543 2700131 2939699 3639307 7328927 9878119 11584433 11957723 15613801 18900917 20577893 25475149 51302489 69146833 83704061 227196737 359117423 484027831 585928427 1590377159 11132640113