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106110100050 = 235210128324749
BaseRepresentation
bin110001011010010100…
…1111010001001010010
3101010212222212120210120
41202310221322021102
53214303141200200
6120425111411110
710444335653163
oct1426451721122
9333788776716
10106110100050
1141001426769
1218694083a96
13a010647266
1451c872d76a
152b6086e9a0
hex18b4a7a252

106110100050 has 96 divisors (see below), whose sum is σ = 266708376000. Its totient is φ = 27915744000.

The previous prime is 106110100049. The next prime is 106110100051. The reversal of 106110100050 is 50001011601.

It is an interprime number because it is at equal distance from previous prime (106110100049) and next prime (106110100051).

It is a super-2 number, since 2×1061101000502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (106110100051) 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, 4275076 + ... + 4299824.

It is an arithmetic number, because the mean of its divisors is an integer number (2778212250).

Almost surely, 2106110100050 is an apocalyptic number.

106110100050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106110100050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133354188000).

106110100050 is an abundant number, since it is smaller than the sum of its proper divisors (160598275950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106110100050 is a wasteful number, since it uses less digits than its factorization.

106110100050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25148 (or 25143 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 106110100050 its reverse (50001011601), we get a palindrome (156111111651).

The spelling of 106110100050 in words is "one hundred six billion, one hundred ten million, one hundred thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 101 150 202 283 303 505 566 606 849 1010 1415 1515 1698 2525 2830 3030 4245 5050 7075 7575 8490 14150 15150 21225 24749 28583 42450 49498 57166 74247 85749 123745 142915 148494 171498 247490 285830 371235 428745 618725 714575 742470 857490 1237450 1429150 1856175 2143725 2499649 3712350 4287450 4999298 7003967 7498947 12498245 14007934 14997894 21011901 24996490 35019835 37494735 42023802 62491225 70039670 74989470 105059505 124982450 175099175 187473675 210119010 350198350 374947350 525297525 707400667 1050595050 1414801334 2122202001 3537003335 4244404002 7074006670 10611010005 17685016675 21222020010 35370033350 53055050025 106110100050