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106006404213 = 339114309729
BaseRepresentation
bin110001010111001111…
…0010101110001110101
3101010121202202021212000
41202232132111301311
53214100114413323
6120410525045513
710441636366023
oct1425636256165
9333552667760
10106006404213
1140a58940526
12186653b6899
139cc500b488
1451b8a59713
152b566d9e43
hex18ae795c75

106006404213 has 16 divisors (see below), whose sum is σ = 157218950400. Its totient is φ = 70593344640.

The previous prime is 106006404211. The next prime is 106006404269. The reversal of 106006404213 is 312404600601.

106006404213 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 640 + 4 + 2 + 13 = 666.

It is not a de Polignac number, because 106006404213 - 21 = 106006404211 is a prime.

It is a super-2 number, since 2×1060064042132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006404211) 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, 2130268 + ... + 2179461.

It is an arithmetic number, because the mean of its divisors is an integer number (9826184400).

Almost surely, 2106006404213 is an apocalyptic number.

It is an amenable number.

106006404213 is a deficient number, since it is larger than the sum of its proper divisors (51212546187).

106006404213 is an equidigital number, since it uses as much as digits as its factorization.

106006404213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310649 (or 4310643 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 106006404213 in words is "one hundred six billion, six million, four hundred four thousand, two hundred thirteen".

Divisors: 1 3 9 27 911 2733 8199 24597 4309729 12929187 38787561 116362683 3926163119 11778489357 35335468071 106006404213