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106225040097 = 32113457310379
BaseRepresentation
bin110001011101110000…
…0010111101011100001
3101011012000011010220100
41202323200113223201
53220022102240342
6120444335133013
710450232641311
oct1427340275341
9334160133810
10106225040097
11410602a1940
1218706674169
13a02b3bc017
1451d9acd441
152b6a9c5e4c
hex18bb817ae1

106225040097 has 24 divisors (see below), whose sum is σ = 167433870240. Its totient is φ = 64359982080.

The previous prime is 106225040083. The next prime is 106225040101. The reversal of 106225040097 is 790040522601.

106225040097 is a `hidden beast` number, since 1 + 0 + 62 + 2 + 504 + 0 + 0 + 97 = 666.

It is not a de Polignac number, because 106225040097 - 210 = 106225039073 is a prime.

It is a super-2 number, since 2×1062250400972 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106225040017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187054 + ... + 497432.

It is an arithmetic number, because the mean of its divisors is an integer number (6976411260).

Almost surely, 2106225040097 is an apocalyptic number.

It is an amenable number.

106225040097 is a deficient number, since it is larger than the sum of its proper divisors (61208830143).

106225040097 is a wasteful number, since it uses less digits than its factorization.

106225040097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313853 (or 313850 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 106225040097 its reverse (790040522601), we get a palindrome (896265562698).

The spelling of 106225040097 in words is "one hundred six billion, two hundred twenty-five million, forty thousand, ninety-seven".

Divisors: 1 3 9 11 33 99 3457 10371 31113 38027 114081 310379 342243 931137 2793411 3414169 10242507 30727521 1072980203 3218940609 9656821827 11802782233 35408346699 106225040097