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11313011232 = 253376917027
BaseRepresentation
bin10101000100100111…
…01101101000100000
31002012102102111221000
422202103231220200
5141132112324412
65110325032000
7550230003015
oct124223555040
932172374830
1011313011232
114885999866
122238855600
1310b3a2c7b3
147946ad70c
154632bd4dc
hex2a24eda20

11313011232 has 96 divisors (see below), whose sum is σ = 33041131200. Its totient is φ = 3765878784.

The previous prime is 11313011221. The next prime is 11313011291. The reversal of 11313011232 is 23211031311.

11313011232 is a `hidden beast` number, since 1 + 131 + 301 + 1 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655903 + ... + 672929.

It is an arithmetic number, because the mean of its divisors is an integer number (344178450).

Almost surely, 211313011232 is an apocalyptic number.

11313011232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16520565600).

11313011232 is an abundant number, since it is smaller than the sum of its proper divisors (21728119968).

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

11313011232 is a wasteful number, since it uses less digits than its factorization.

11313011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17815 (or 17801 counting only the distinct ones).

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

Adding to 11313011232 its reverse (23211031311), we get a palindrome (34524042543).

The spelling of 11313011232 in words is "eleven billion, three hundred thirteen million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 769 864 1538 2307 3076 4614 6152 6921 9228 12304 13842 17027 18456 20763 24608 27684 34054 36912 41526 51081 55368 68108 73824 83052 102162 110736 136216 153243 166104 204324 221472 272432 306486 332208 408648 459729 544864 612972 664416 817296 919458 1225944 1634592 1838916 2451888 3677832 4903776 7355664 13093763 14711328 26187526 39281289 52375052 78562578 104750104 117843867 157125156 209500208 235687734 314250312 353531601 419000416 471375468 628500624 707063202 942750936 1257001248 1414126404 1885501872 2828252808 3771003744 5656505616 11313011232