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12106270050 = 2352733734213
BaseRepresentation
bin10110100011001011…
…10000010101100010
31011020201002020110020
423101211300111202
5144243201120200
65321143214310
7606001411650
oct132145602542
934221066406
1012106270050
115152745966
12241a447396
1311ac192204
1482bba1dd0
154acc62ea0
hex2d1970562

12106270050 has 96 divisors (see below), whose sum is σ = 34415452032. Its totient is φ = 2758855680.

The previous prime is 12106270031. The next prime is 12106270067. The reversal of 12106270050 is 5007260121.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12106270050.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336744 + ... + 370956.

It is an arithmetic number, because the mean of its divisors is an integer number (358494292).

Almost surely, 212106270050 is an apocalyptic number.

12106270050 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 12106270050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17207726016).

12106270050 is an abundant number, since it is smaller than the sum of its proper divisors (22309181982).

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

12106270050 is a wasteful number, since it uses less digits than its factorization.

12106270050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34572 (or 34567 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 12106270050 in words is "twelve billion, one hundred six million, two hundred seventy thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 337 350 525 674 1011 1050 1685 2022 2359 3370 4718 5055 7077 8425 10110 11795 14154 16850 23590 25275 34213 35385 50550 58975 68426 70770 102639 117950 171065 176925 205278 239491 342130 353850 478982 513195 718473 855325 1026390 1197455 1436946 1710650 2394910 2565975 3592365 5131950 5987275 7184730 11529781 11974550 17961825 23059562 34589343 35923650 57648905 69178686 80708467 115297810 161416934 172946715 242125401 288244525 345893430 403542335 484250802 576489050 807084670 864733575 1210627005 1729467150 2017711675 2421254010 4035423350 6053135025 12106270050