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11230202112 = 283372271741
BaseRepresentation
bin10100111010101111…
…10100100100000000
31001222122121101011120
422131113310210000
5140444412431422
65054210112240
7545203100013
oct123527644400
931878541146
1011230202112
11484317a078
122214b7b680
13109c82790c
147876b537a
1545adb245c
hex29d5f4900

11230202112 has 144 divisors (see below), whose sum is σ = 30849454272. Its totient is φ = 3624099840.

The previous prime is 11230202051. The next prime is 11230202143. The reversal of 11230202112 is 21120203211.

It is a super-2 number, since 2×112302021122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11230202091 and 11230202100.

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, 6449562 + ... + 6451302.

Almost surely, 211230202112 is an apocalyptic number.

11230202112 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 11230202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424727136).

11230202112 is an abundant number, since it is smaller than the sum of its proper divisors (19619252160).

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

11230202112 is a wasteful number, since it uses less digits than its factorization.

11230202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11230202112 its reverse (21120203211), we get a palindrome (32350405323).

The spelling of 11230202112 in words is "eleven billion, two hundred thirty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 227 256 296 384 444 454 592 681 768 888 908 1184 1362 1741 1776 1816 2368 2724 3482 3552 3632 4736 5223 5448 6964 7104 7264 8399 9472 10446 10896 13928 14208 14528 16798 20892 21792 25197 27856 28416 29056 33596 41784 43584 50394 55712 58112 64417 67192 83568 87168 100788 111424 128834 134384 167136 174336 193251 201576 222848 257668 268768 334272 386502 395207 403152 445696 515336 537536 668544 773004 790414 806304 1030672 1075072 1185621 1337088 1546008 1580828 1612608 2061344 2150144 2371242 3092016 3161656 3225216 4122688 4742484 6184032 6323312 6450432 8245376 9484968 12368064 12646624 14622659 16490752 18969936 24736128 25293248 29245318 37939872 43867977 49472256 50586496 58490636 75879744 87735954 101172992 116981272 151759488 175471908 233962544 303518976 350943816 467925088 701887632 935850176 1403775264 1871700352 2807550528 3743400704 5615101056 11230202112