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20106251145 = 3252949131379
BaseRepresentation
bin10010101110011011…
…010000101110001001
31220220020110101102100
4102232123100232021
5312134200014040
613123042424013
71311152213001
oct225633205611
956806411370
1020106251145
118588500092
123a91662009
131b856c9836
14d8a463001
157ca257b30
hex4ae6d0b89

20106251145 has 48 divisors (see below), whose sum is σ = 36127166400. Its totient is φ = 10332147840.

The previous prime is 20106251111. The next prime is 20106251147. The reversal of 20106251145 is 54115260102.

20106251145 is a `hidden beast` number, since 2 + 0 + 106 + 2 + 511 + 45 = 666.

It is not a de Polignac number, because 20106251145 - 27 = 20106251017 is a prime.

It is a super-2 number, since 2×201062511452 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20106251147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625066 + ... + 656444.

It is an arithmetic number, because the mean of its divisors is an integer number (752649300).

Almost surely, 220106251145 is an apocalyptic number.

It is an amenable number.

20106251145 is a deficient number, since it is larger than the sum of its proper divisors (16020915255).

20106251145 is a wasteful number, since it uses less digits than its factorization.

20106251145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31910 (or 31907 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 20106251145 in words is "twenty billion, one hundred six million, two hundred fifty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 491 1305 1473 2455 4419 7365 14239 22095 31379 42717 71195 94137 128151 156895 213585 282411 470685 640755 909991 1412055 2729973 4549955 8189919 13649865 15407089 40949595 46221267 77035445 138663801 231106335 446805581 693319005 1340416743 2234027905 4021250229 6702083715 20106251145