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107222542016 = 266731379889
BaseRepresentation
bin110001111011011110…
…1100010011011000000
3101020202112010111021212
41203312331202123000
53224042432321031
6121131331105252
710514034366212
oct1436675423300
9336675114255
10107222542016
1141522369897
1218944742228
13a159c63145
14529238a5b2
152bc836212b
hex18f6f626c0

107222542016 has 56 divisors (see below), whose sum is σ = 216638032560. Its totient is φ = 52641718272.

The previous prime is 107222542013. The next prime is 107222542057. The reversal of 107222542016 is 610245222701.

It is a super-2 number, since 2×1072225420162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (107222542013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1302200 + ... + 1382088.

Almost surely, 2107222542016 is an apocalyptic number.

107222542016 is a gapful number since it is divisible by the number (16) 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 107222542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108319016280).

107222542016 is an abundant number, since it is smaller than the sum of its proper divisors (109415490544).

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

107222542016 is an equidigital number, since it uses as much as digits as its factorization.

107222542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80281 (or 80271 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

Adding to 107222542016 its reverse (610245222701), we get a palindrome (717467764717).

The spelling of 107222542016 in words is "one hundred seven billion, two hundred twenty-two million, five hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 67 134 268 313 536 626 1072 1252 2144 2504 4288 5008 10016 20032 20971 41942 79889 83884 159778 167768 319556 335536 639112 671072 1278224 1342144 2556448 5112896 5352563 10705126 21410252 25005257 42820504 50010514 85641008 100021028 171282016 200042056 342564032 400084112 800168224 1600336448 1675352219 3350704438 6701408876 13402817752 26805635504 53611271008 107222542016