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11322100032 = 263233337751
BaseRepresentation
bin10101000101101100…
…11000100101000000
31002020001112021102020
422202312120211000
5141141424200112
65111251521440
7550400155665
oct124266304500
932201467366
1011322100032
114890037371
12223b8b9280
1310b5892699
14795997a6c
15463eb648c
hex2a2d98940

11322100032 has 112 divisors (see below), whose sum is σ = 30214409472. Its totient is φ = 3741696000.

The previous prime is 11322100007. The next prime is 11322100061. The reversal of 11322100032 is 23000122311.

It is a super-2 number, since 2×113221000322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11322099984 and 11322100020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15075657 + ... + 15076407.

Almost surely, 211322100032 is an apocalyptic number.

11322100032 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 11322100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15107204736).

11322100032 is an abundant number, since it is smaller than the sum of its proper divisors (18892309440).

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

11322100032 is a wasteful number, since it uses less digits than its factorization.

11322100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11322100032 its reverse (23000122311), we get a palindrome (34322222343).

The spelling of 11322100032 in words is "eleven billion, three hundred twenty-two million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 233 337 466 674 699 751 932 1011 1348 1398 1502 1864 2022 2253 2696 2796 3004 3728 4044 4506 5392 5592 6008 7456 8088 9012 10784 11184 12016 14912 16176 18024 21568 22368 24032 32352 36048 44736 48064 64704 72096 78521 144192 157042 174983 235563 253087 314084 349966 471126 506174 524949 628168 699932 759261 942252 1012348 1049898 1256336 1399864 1518522 1884504 2024696 2099796 2512672 2799728 3037044 3769008 4049392 4199592 5025344 5599456 6074088 7538016 8098784 8399184 11198912 12148176 15076032 16197568 16798368 24296352 33596736 48592704 58969271 117938542 176907813 235877084 353815626 471754168 707631252 943508336 1415262504 1887016672 2830525008 3774033344 5661050016 11322100032