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106275924053 = 13191939122189
BaseRepresentation
bin110001011111010001…
…0011110100001010101
3101011022112220022120022
41202332202132201111
53220123114032203
6120453353514525
710451421310115
oct1427642364125
9334275808508
10106275924053
1141086a967a2
121871b712a45
13a038ac6880
145202777045
152b701c7a38
hex18be89e855

106275924053 has 16 divisors (see below), whose sum is σ = 120486374400. Its totient is φ = 92928669120.

The previous prime is 106275923959. The next prime is 106275924059. The reversal of 106275924053 is 350429572601.

It is a cyclic number.

It is not a de Polignac number, because 106275924053 - 222 = 106271729749 is a prime.

It is a super-2 number, since 2×1062759240532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106275923995 and 106275924013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106275924059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4778483 + ... + 4800671.

It is an arithmetic number, because the mean of its divisors is an integer number (7530398400).

Almost surely, 2106275924053 is an apocalyptic number.

106275924053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106275924053 is a deficient number, since it is larger than the sum of its proper divisors (14210450347).

106275924053 is a wasteful number, since it uses less digits than its factorization.

106275924053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41612.

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 106275924053 in words is "one hundred six billion, two hundred seventy-five million, nine hundred twenty-four thousand, fifty-three".

Divisors: 1 13 19 247 19391 22189 252083 288457 368429 421591 4789577 5480683 430266899 5593469687 8175071081 106275924053