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106146980973 = 32111072191727
BaseRepresentation
bin110001011011011011…
…0100110010001101101
3101010222120021022220200
41202312312212101231
53214342111342343
6120432510104113
710445264310555
oct1426666462155
9333876238820
10106146980973
1141020226970
12186a44ab039
13a01818b1a7
1451cd5b0165
152b63c074d3
hex18b6da646d

106146980973 has 12 divisors (see below), whose sum is σ = 167261909568. Its totient is φ = 64331503560.

The previous prime is 106146980881. The next prime is 106146980983. The reversal of 106146980973 is 379089641601.

106146980973 is a `hidden beast` number, since 10 + 6 + 1 + 469 + 80 + 97 + 3 = 666.

It is not a de Polignac number, because 106146980973 - 230 = 105073239149 is a prime.

It is a super-2 number, since 2×1061469809732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106146980983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536095765 + ... + 536095962.

It is an arithmetic number, because the mean of its divisors is an integer number (13938492464).

Almost surely, 2106146980973 is an apocalyptic number.

It is an amenable number.

106146980973 is a deficient number, since it is larger than the sum of its proper divisors (61114928595).

106146980973 is a wasteful number, since it uses less digits than its factorization.

106146980973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072191744 (or 1072191741 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 106146980973 in words is "one hundred six billion, one hundred forty-six million, nine hundred eighty thousand, nine hundred seventy-three".

Divisors: 1 3 9 11 33 99 1072191727 3216575181 9649725543 11794108997 35382326991 106146980973