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105554014412 = 2271110710213137
BaseRepresentation
bin110001001001110000…
…0100111000011001100
3101002110020111111201012
41202103200213003030
53212133311430122
6120254004504352
710424504214230
oct1422340470314
9332406444635
10105554014412
1140846542360
12185599ab0b8
139c52385ac2
1451749385c0
152b2bb287e2
hex18938270cc

105554014412 has 96 divisors (see below), whose sum is σ = 232753844736. Its totient is φ = 40687718400.

The previous prime is 105554014411. The next prime is 105554014421. The reversal of 105554014412 is 214410455501.

It is a happy number.

It is a super-2 number, since 2×1055540144122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105554014411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33646508 + ... + 33649644.

It is an arithmetic number, because the mean of its divisors is an integer number (2424519216).

Almost surely, 2105554014412 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 105554014412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116376922368).

105554014412 is an abundant number, since it is smaller than the sum of its proper divisors (127199830324).

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

105554014412 is a wasteful number, since it uses less digits than its factorization.

105554014412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

Adding to 105554014412 its reverse (214410455501), we get a palindrome (319964469913).

The spelling of 105554014412 in words is "one hundred five billion, five hundred fifty-four million, fourteen thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 154 214 308 428 749 1021 1177 1498 2042 2354 2996 3137 4084 4708 6274 7147 8239 11231 12548 14294 16478 21959 22462 28588 32956 34507 43918 44924 69014 78617 87836 109247 138028 157234 218494 241549 314468 335659 436988 483098 671318 764729 966196 1201717 1342636 1529458 2349613 2403434 3058916 3202877 3692249 4699226 4806868 6405754 7384498 8412019 9398452 12811508 14768996 16824038 22420139 25845743 33648076 35231647 44840278 51691486 70463294 89680556 103382972 140926588 246621529 342707839 493243058 685415678 986486116 1370831356 2398954873 3769786229 4797909746 7539572458 9595819492 15079144916 26388503603 52777007206 105554014412