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106293993 = 31321112917
BaseRepresentation
bin1100101010111…
…10101011101001
321102000021221120
412111132223221
5204202401433
614314125453
72430325011
oct625365351
9242007846
10106293993
1155000283
122b720889
1319038570
141018cc41
1594e97b3
hex655eae9

106293993 has 16 divisors (see below), whose sum is σ = 153362496. Its totient is φ = 65096640.

The previous prime is 106293973. The next prime is 106294031. The reversal of 106293993 is 399392601.

It is a happy number.

It is not a de Polignac number, because 106293993 - 213 = 106285801 is a prime.

It is a super-2 number, since 2×1062939932 = 22596825895768098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106293953) 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, 1771 + ... + 14687.

It is an arithmetic number, because the mean of its divisors is an integer number (9585156).

Almost surely, 2106293993 is an apocalyptic number.

106293993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106293993 is a deficient number, since it is larger than the sum of its proper divisors (47068503).

106293993 is a wasteful number, since it uses less digits than its factorization.

106293993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13144.

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 106293993 is about 10309.8978171464. The cubic root of 106293993 is about 473.6994792538.

The spelling of 106293993 in words is "one hundred six million, two hundred ninety-three thousand, nine hundred ninety-three".

Divisors: 1 3 13 39 211 633 2743 8229 12917 38751 167921 503763 2725487 8176461 35431331 106293993