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11301001032 = 2331926121383
BaseRepresentation
bin10101000011001011…
…11001011101001000
31002011120211100000210
422201211321131020
5141121024013112
65105215401120
7550022631606
oct124145713510
932146740023
1011301001032
11487a136382
1222348231a0
1310b13b5c79
14792c64876
154621e9b3c
hex2a1979748

11301001032 has 96 divisors (see below), whose sum is σ = 30307970880. Its totient is φ = 3510069120.

The previous prime is 11301001031. The next prime is 11301001111. The reversal of 11301001032 is 23010010311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11301000999 and 11301001017.

It is not an unprimeable number, because it can be changed into a prime (11301001031) 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, 517813 + ... + 539195.

It is an arithmetic number, because the mean of its divisors is an integer number (315708030).

Almost surely, 211301001032 is an apocalyptic number.

11301001032 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 11301001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15153985440).

11301001032 is an abundant number, since it is smaller than the sum of its proper divisors (19006969848).

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

11301001032 is a wasteful number, since it uses less digits than its factorization.

11301001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21491 (or 21468 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11301001032 its reverse (23010010311), we get a palindrome (34311011343).

The spelling of 11301001032 in words is "eleven billion, three hundred one million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 244 361 366 456 488 722 732 1083 1159 1444 1464 2166 2318 2888 3477 4332 4636 6954 8664 9272 13908 21383 22021 27816 42766 44042 64149 66063 85532 88084 128298 132126 171064 176168 256596 264252 406277 513192 528504 812554 1218831 1304363 1625108 2437662 2608726 3250216 3913089 4875324 5217452 7719263 7826178 9750648 10434904 15438526 15652356 23157789 24782897 30877052 31304712 46315578 49565794 61754104 74348691 92631156 99131588 148697382 185262312 198263176 297394764 470875043 594789528 941750086 1412625129 1883500172 2825250258 3767000344 5650500516 11301001032