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107299297224 = 23327230413633
BaseRepresentation
bin110001111101110001…
…0010101011111001000
3101020221212120001122100
41203323202111133020
53224222110002344
6121143112153400
710515655656300
oct1437342253710
9336855501570
10107299297224
1141561724149
1218966398860
13a16cb28622
14529c64a600
152bcee74569
hex18fb8957c8

107299297224 has 72 divisors (see below), whose sum is σ = 338047541910. Its totient is φ = 30656941056.

The previous prime is 107299297219. The next prime is 107299297229. The reversal of 107299297224 is 422792992701.

107299297224 is a `hidden beast` number, since 107 + 29 + 9 + 297 + 224 = 666.

107299297224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (107299297219) and next prime (107299297229).

It can be written as a sum of positive squares in only one way, i.e., 106087004100 + 1212293124 = 325710^2 + 34818^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (107299297229) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15203289 + ... + 15210344.

Almost surely, 2107299297224 is an apocalyptic number.

107299297224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107299297224 is an abundant number, since it is smaller than the sum of its proper divisors (230748244686).

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

107299297224 is a wasteful number, since it uses less digits than its factorization.

107299297224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30413659 (or 30413645 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 107299297224 in words is "one hundred seven billion, two hundred ninety-nine million, two hundred ninety-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 30413633 60827266 91240899 121654532 182481798 212895431 243309064 273722697 364963596 425790862 547445394 638686293 729927192 851581724 1094890788 1277372586 1490268017 1703163448 1916058879 2189781576 2554745172 2980536034 3832117758 4470804051 5109490344 5961072068 7664235516 8941608102 11922144136 13412412153 15328471032 17883216204 26824824306 35766432408 53649648612 107299297224