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107101224 = 23331729167
BaseRepresentation
bin1100110001000…
…11110000101000
321110112022021000
412120203300220
5204404214344
614343315000
72440226316
oct630436050
9243468230
10107101224
115550180a
122ba4ba60
131925bb09
141031d0b6
159608a69
hex6623c28

107101224 has 64 divisors (see below), whose sum is σ = 315014400. Its totient is φ = 33599232.

The previous prime is 107101223. The next prime is 107101283. The reversal of 107101224 is 422101701.

It is a super-2 number, since 2×1071012242 = 22941344364596352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 107101197 and 107101206.

It is not an unprimeable number, because it can be changed into a prime (107101223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10912 + ... + 18255.

It is an arithmetic number, because the mean of its divisors is an integer number (4922100).

Almost surely, 2107101224 is an apocalyptic number.

It is an amenable number.

107101224 is an abundant number, since it is smaller than the sum of its proper divisors (207913176).

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

107101224 is a wasteful number, since it uses less digits than its factorization.

107101224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29199 (or 29189 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 107101224 is about 10348.9721228729. The cubic root of 107101224 is about 474.8955988465.

Adding to 107101224 its reverse (422101701), we get a palindrome (529202925).

The spelling of 107101224 in words is "one hundred seven million, one hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 29167 58334 87501 116668 175002 233336 262503 350004 495839 525006 700008 787509 991678 1050012 1487517 1575018 1983356 2100024 2975034 3150036 3966712 4462551 5950068 6300072 8925102 11900136 13387653 17850204 26775306 35700408 53550612 107101224