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106646853071 = 11213752312301
BaseRepresentation
bin110001101010010100…
…1011101010111001111
3101012021101212110112002
41203110221131113033
53221403043244241
6120554244102515
710463544202613
oct1432451352717
9335241773462
10106646853071
1141257406200
1218803994a3b
13a0978c9cb5
145239b31343
152b92a4789b
hex18d4a5d5cf

106646853071 has 24 divisors (see below), whose sum is σ = 118314435792. Its totient is φ = 96052176000.

The previous prime is 106646853041. The next prime is 106646853101. The reversal of 106646853071 is 170358646601.

It is an interprime number because it is at equal distance from previous prime (106646853041) and next prime (106646853101).

It is not a de Polignac number, because 106646853071 - 226 = 106579744207 is a prime.

It is a super-2 number, since 2×1066468530712 (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 (106646853041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8663621 + ... + 8675921.

It is an arithmetic number, because the mean of its divisors is an integer number (4929768158).

Almost surely, 2106646853071 is an apocalyptic number.

106646853071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106646853071 is a deficient number, since it is larger than the sum of its proper divisors (11667582721).

106646853071 is a wasteful number, since it uses less digits than its factorization.

106646853071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12983 (or 12972 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 106646853071 in words is "one hundred six billion, six hundred forty-six million, eight hundred fifty-three thousand, seventy-one".

Divisors: 1 11 121 137 523 1507 5753 12301 16577 63283 71651 135311 788161 1488421 1685237 6433423 8669771 18537607 70767653 203913677 778444183 881378951 9695168461 106646853071