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12101000220 = 223253710716981
BaseRepresentation
bin10110100010100011…
…01001110000011100
31011020100011111121100
423101101221300130
5144240324001340
65320434233100
7605605543011
oct132121516034
934210144540
1012101000220
11514a776631
122418725790
1311ab06867a
1482b1cd708
154ac571830
hex2d1469c1c

12101000220 has 144 divisors (see below), whose sum is σ = 38052993888. Its totient is φ = 3110192640.

The previous prime is 12101000207. The next prime is 12101000221. The reversal of 12101000220 is 2200010121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101000221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704130 + ... + 721110.

It is an arithmetic number, because the mean of its divisors is an integer number (264256902).

Almost surely, 212101000220 is an apocalyptic number.

12101000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19026496944).

12101000220 is an abundant number, since it is smaller than the sum of its proper divisors (25951993668).

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

12101000220 is a wasteful number, since it uses less digits than its factorization.

12101000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17140 (or 17135 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12101000220 its reverse (2200010121), we get a palindrome (14301010341).

Subtracting from 12101000220 its reverse (2200010121), we obtain a palindrome (9900990099).

The spelling of 12101000220 in words is "twelve billion, one hundred one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 107 111 148 180 185 214 222 321 333 370 428 444 535 555 642 666 740 963 1070 1110 1284 1332 1605 1665 1926 2140 2220 3210 3330 3852 3959 4815 6420 6660 7918 9630 11877 15836 16981 19260 19795 23754 33962 35631 39590 47508 50943 59385 67924 71262 79180 84905 101886 118770 142524 152829 169810 178155 203772 237540 254715 305658 339620 356310 509430 611316 628297 712620 764145 1018860 1256594 1528290 1816967 1884891 2513188 3056580 3141485 3633934 3769782 5450901 5654673 6282970 7267868 7539564 9084835 9424455 10901802 11309346 12565940 16352703 18169670 18848910 21803604 22618692 27254505 28273365 32705406 36339340 37697820 54509010 56546730 65410812 67227779 81763515 109018020 113093460 134455558 163527030 201683337 268911116 327054060 336138895 403366674 605050011 672277790 806733348 1008416685 1210100022 1344555580 2016833370 2420200044 3025250055 4033666740 6050500110 12101000220