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32100107 = 1347107491
BaseRepresentation
bin111101001110…
…0111100001011
32020101212001212
41322130330023
531204200412
63104003335
7536563214
oct172347413
966355055
1032100107
1117135316
12a90054b
13685bb60
14439840b
152c41222
hex1e9cf0b

32100107 has 16 divisors (see below), whose sum is σ = 35707392. Its totient is φ = 28670880.

The previous prime is 32100043. The next prime is 32100121. The reversal of 32100107 is 70100123.

It is a cyclic number.

It is not a de Polignac number, because 32100107 - 26 = 32100043 is a prime.

It is a super-2 number, since 2×321001072 = 2060833738822898, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32100091 and 32100100.

It is not an unprimeable number, because it can be changed into a prime (32108107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65132 + ... + 65622.

It is an arithmetic number, because the mean of its divisors is an integer number (2231712).

Almost surely, 232100107 is an apocalyptic number.

32100107 is a deficient number, since it is larger than the sum of its proper divisors (3607285).

32100107 is a wasteful number, since it uses less digits than its factorization.

32100107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 32100107 is about 5665.6956324886. The cubic root of 32100107 is about 317.8109281774.

The spelling of 32100107 in words is "thirty-two million, one hundred thousand, one hundred seven".

Divisors: 1 13 47 107 491 611 1391 5029 6383 23077 52537 65377 300001 682981 2469239 32100107