Search a number
-
+
107101312 = 27836729
BaseRepresentation
bin1100110001000…
…11110010000000
321110112022101021
412120203302000
5204404220222
614343315224
72440226503
oct630436200
9243468337
10107101312
115550188a
122ba4bb14
131925bb76
141031d13a
159608ac7
hex6623c80

107101312 has 16 divisors (see below), whose sum is σ = 213366150. Its totient is φ = 53550592.

The previous prime is 107101301. The next prime is 107101331. The reversal of 107101312 is 213101701.

It can be written as a sum of positive squares in only one way, i.e., 82737216 + 24364096 = 9096^2 + 4936^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1071013122 = 22941382064242688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 418237 + ... + 418492.

Almost surely, 2107101312 is an apocalyptic number.

It is an amenable number.

107101312 is a deficient number, since it is larger than the sum of its proper divisors (106264838).

107101312 is an frugal number, since it uses more digits than its factorization.

107101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836743 (or 836731 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 107101312 is about 10348.9763745020. The cubic root of 107101312 is about 474.8957289128.

The spelling of 107101312 in words is "one hundred seven million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 836729 1673458 3346916 6693832 13387664 26775328 53550656 107101312