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10011311332232 = 237238536628357
BaseRepresentation
bin1001000110101111000010…
…1001111101101110001000
31022110001221111111110121012
42101223300221331232020
52303011131200112412
633143044414103052
72052202425155300
oct221536051755610
938401844443535
1010011311332232
11320a856286381
121158313aaaa88
135780a771aa12
1426879b4c2600
1512563cecdc22
hex91af0a7db88

10011311332232 has 48 divisors (see below), whose sum is σ = 21841566430860. Its totient is φ = 4289447788416.

The previous prime is 10011311332223. The next prime is 10011311332289. The reversal of 10011311332232 is 23223311311001.

10011311332232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7825189401316 + 2186121930916 = 2797354^2 + 1478554^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10011311332198 and 10011311332207.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1803803 + ... + 4824554.

Almost surely, 210011311332232 is an apocalyptic number.

It is an amenable number.

10011311332232 is an abundant number, since it is smaller than the sum of its proper divisors (11830255098628).

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

10011311332232 is a wasteful number, since it uses less digits than its factorization.

10011311332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6632230 (or 6632219 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10011311332232 its reverse (23223311311001), we get a palindrome (33234622643233).

The spelling of 10011311332232 in words is "ten trillion, eleven billion, three hundred eleven million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 3853 7706 15412 26971 30824 53942 107884 188797 215768 377594 755188 1510376 6628357 13256714 26513428 46398499 53026856 92796998 185593996 324789493 371187992 649578986 1299157972 2598315944 25539059521 51078119042 102156238084 178773416647 204312476168 357546833294 715093666588 1251413916529 1430187333176 2502827833058 5005655666116 10011311332232