Search a number
-
+
107753121 = 32710631609
BaseRepresentation
bin1100110110000…
…10111010100001
321111202102111100
412123002322201
5210041044441
614405305013
72445613020
oct633027241
9244672440
10107753121
1155907573
1230105169
1319429758
141044c8b7
1596d6cb6
hex66c2ea1

107753121 has 24 divisors (see below), whose sum is σ = 178156160. Its totient is φ = 61477056.

The previous prime is 107753083. The next prime is 107753143. The reversal of 107753121 is 121357701.

It is a happy number.

107753121 is a `hidden beast` number, since 107 + 7 + 531 + 21 = 666.

It is not a de Polignac number, because 107753121 - 223 = 99364513 is a prime.

It is a super-2 number, since 2×1077531212 = 23221470170481282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107753171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66165 + ... + 67773.

Almost surely, 2107753121 is an apocalyptic number.

It is an amenable number.

107753121 is a deficient number, since it is larger than the sum of its proper divisors (70403039).

107753121 is a wasteful number, since it uses less digits than its factorization.

107753121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 107753121 is about 10380.4200782049. The cubic root of 107753121 is about 475.8571720923.

The spelling of 107753121 in words is "one hundred seven million, seven hundred fifty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 1063 1609 3189 4827 7441 9567 11263 14481 22323 33789 66969 101367 1710367 5131101 11972569 15393303 35917707 107753121