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2231113111232 = 264324112012801
BaseRepresentation
bin100000011101111000101…
…101000101011011000000
321220021220002221100101112
4200131320231011123000
5243023304424024412
64424543105022452
7320123030352125
oct40357055053300
97807802840345
102231113111232
11790234205a55
123004a3324a28
1313251573a025
1479db4b6c74c
153d082b51722
hex20778b456c0

2231113111232 has 112 divisors (see below), whose sum is σ = 4554538337184. Its totient is φ = 1083801600000.

The previous prime is 2231113111229. The next prime is 2231113111247. The reversal of 2231113111232 is 2321113111322.

It is a happy number.

It is a super-3 number, since 3×22311131112323 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2231113111198 and 2231113111207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 796540232 + ... + 796543032.

Almost surely, 22231113111232 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 2231113111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277269168592).

2231113111232 is an abundant number, since it is smaller than the sum of its proper divisors (2323425225952).

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

2231113111232 is a wasteful number, since it uses less digits than its factorization.

2231113111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4288 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

Adding to 2231113111232 its reverse (2321113111322), we get a palindrome (4552226222554).

The spelling of 2231113111232 in words is "two trillion, two hundred thirty-one billion, one hundred thirteen million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 172 241 344 482 688 964 1201 1376 1928 2402 2752 2801 3856 4804 5602 7712 9608 10363 11204 15424 19216 20726 22408 38432 41452 44816 51643 76864 82904 89632 103286 120443 165808 179264 206572 240886 289441 331616 413144 481772 578882 663232 675041 826288 963544 1157764 1350082 1652576 1927088 2315528 2700164 3305152 3364001 3854176 4631056 5400328 6728002 7708352 9262112 10800656 12445963 13456004 18524224 21601312 24891926 26912008 29026763 43202624 49783852 53824016 58053526 99567704 107648032 116107052 144652043 199135408 215296064 232214104 289304086 398270816 464428208 578608172 796541632 810724241 928856416 1157216344 1621448482 1857712832 2314432688 3242896964 4628865376 6485793928 9257730752 12971587856 25943175712 34861142363 51886351424 69722284726 139444569452 278889138904 557778277808 1115556555616 2231113111232