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106365162231 = 353313973331
BaseRepresentation
bin110001100001111011…
…0111001001011110111
3101011112202211002100000
41203003312321023313
53220313440142411
6120510302322343
710453553650536
oct1430366711367
9334482732300
10106365162231
11411223a7759
12187455893b3
13a05143cb23
14521056631d
152b77e53956
hex18c3db92f7

106365162231 has 48 divisors (see below), whose sum is σ = 160260883328. Its totient is φ = 70496632800.

The previous prime is 106365162223. The next prime is 106365162263. The reversal of 106365162231 is 132261563601.

106365162231 is a `hidden beast` number, since 1 + 0 + 6 + 365 + 1 + 62 + 231 = 666.

It is not a de Polignac number, because 106365162231 - 23 = 106365162223 is a prime.

It is a super-2 number, since 2×1063651622312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106365162221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31930236 + ... + 31933566.

Almost surely, 2106365162231 is an apocalyptic number.

106365162231 is a deficient number, since it is larger than the sum of its proper divisors (53895721097).

106365162231 is an equidigital number, since it uses as much as digits as its factorization.

106365162231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 106365162231 in words is "one hundred six billion, three hundred sixty-five million, one hundred sixty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 27 81 243 331 397 993 1191 2979 3331 3573 8937 9993 10719 26811 29979 32157 80433 89937 96471 131407 269811 394221 809433 1102561 1182663 1322407 3307683 3547989 3967221 9923049 10643967 11901663 29769147 31931901 35704989 89307441 107114967 267922323 321344901 437716717 1313150151 3939450453 11818351359 35455054077 106365162231