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106633022427 = 3417312498021
BaseRepresentation
bin110001101001111010…
…0101100101111011011
3101012020102211210110000
41203103310230233123
53221341023204202
6120553031424043
710463315510211
oct1432364545733
9335212753400
10106633022427
114124a61a018
12187bb225023
13a094a96999
145237d70cb1
152b9171491c
hex18d3d2cbdb

106633022427 has 40 divisors (see below), whose sum is σ = 174102141312. Its totient is φ = 64748678400.

The previous prime is 106633022369. The next prime is 106633022443. The reversal of 106633022427 is 724220336601.

106633022427 is a `hidden beast` number, since 10 + 6 + 633 + 0 + 2 + 2 + 4 + 2 + 7 = 666.

It is not a de Polignac number, because 106633022427 - 214 = 106633006043 is a prime.

It is a super-2 number, since 2×1066330224272 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106633022391 and 106633022400.

It is not an unprimeable number, because it can be changed into a prime (106633022467) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1206324 + ... + 1291697.

Almost surely, 2106633022427 is an apocalyptic number.

106633022427 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106633022427 is a deficient number, since it is larger than the sum of its proper divisors (67469118885).

106633022427 is a wasteful number, since it uses less digits than its factorization.

106633022427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498081 (or 2498072 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 106633022427 in words is "one hundred six billion, six hundred thirty-three million, twenty-two thousand, four hundred twenty-seven".

Divisors: 1 3 9 17 27 31 51 81 93 153 279 459 527 837 1377 1581 2511 4743 14229 42687 2498021 7494063 22482189 42466357 67446567 77438651 127399071 202339701 232315953 382197213 696947859 1146591639 1316457067 2090843577 3439774917 3949371201 6272530731 11848113603 35544340809 106633022427