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12031002103232 = 26724993768359
BaseRepresentation
bin1010111100010010111110…
…0110110100110111000000
31120121011010020000010101002
42233010233212310313000
53034103443014300412
641330544400431132
72351132306362100
oct257045746646700
946534106003332
1012031002103232
113919357048922
1214238323184a8
1369369857a278
142d8437161200
1515ce499e3dc2
hexaf12f9b4dc0

12031002103232 has 84 divisors (see below), whose sum is σ = 27777417251760. Its totient is φ = 5155104374784.

The previous prime is 12031002103231. The next prime is 12031002103277. The reversal of 12031002103232 is 23230120013021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031002103231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15273869 + ... + 16042227.

Almost surely, 212031002103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031002103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13888708625880).

12031002103232 is an abundant number, since it is smaller than the sum of its proper divisors (15746415148528).

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

12031002103232 is an equidigital number, since it uses as much as digits as its factorization.

12031002103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773378 (or 773361 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12031002103232 its reverse (23230120013021), we get a palindrome (35261122116253).

The spelling of 12031002103232 in words is "twelve trillion, thirty-one billion, two million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 4993 9986 19972 34951 39944 69902 79888 139804 159776 244657 279608 319552 489314 559216 768359 978628 1118432 1536718 1957256 2236864 3073436 3914512 5378513 6146872 7829024 10757026 12293744 15658048 21514052 24587488 37649591 43028104 49174976 75299182 86056208 150598364 172112416 301196728 344224832 602393456 1204786912 2409573824 3836416487 7672832974 15345665948 26854915409 30691331896 53709830818 61382663792 107419661636 122765327584 187984407863 214839323272 245530655168 375968815726 429678646544 751937631452 859357293088 1503875262904 1718714586176 3007750525808 6015501051616 12031002103232