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11012131032 = 2337225137307
BaseRepresentation
bin10100100000101111…
…11100100011011000
31001102110021012212220
422100113330203120
5140023101143112
65020420104040
7536614366200
oct122027744330
931373235786
1011012131032
114741074041
122173b35020
1310665b4186
1476674b400
15446b8898c
hex2905fc8d8

11012131032 has 96 divisors (see below), whose sum is σ = 32153526720. Its totient is φ = 3133704000.

The previous prime is 11012131007. The next prime is 11012131033. The reversal of 11012131032 is 23013121011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012131033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276523 + ... + 313829.

It is an arithmetic number, because the mean of its divisors is an integer number (334932570).

Almost surely, 211012131032 is an apocalyptic number.

11012131032 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 11012131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16076763360).

11012131032 is an abundant number, since it is smaller than the sum of its proper divisors (21141395688).

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

11012131032 is a wasteful number, since it uses less digits than its factorization.

11012131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37581 (or 37570 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11012131032 its reverse (23013121011), we get a palindrome (34025252043).

The spelling of 11012131032 in words is "eleven billion, twelve million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 251 294 392 502 588 753 1004 1176 1506 1757 2008 3012 3514 5271 6024 7028 10542 12299 14056 21084 24598 36897 37307 42168 49196 73794 74614 98392 111921 147588 149228 223842 261149 295176 298456 447684 522298 783447 895368 1044596 1566894 1828043 2089192 3133788 3656086 5484129 6267576 7312172 9364057 10968258 14624344 18728114 21936516 28092171 37456228 43873032 56184342 65548399 74912456 112368684 131096798 196645197 224737368 262193596 393290394 458838793 524387192 786580788 917677586 1376516379 1573161576 1835355172 2753032758 3670710344 5506065516 11012131032