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220112021000 = 23535333112547
BaseRepresentation
bin1100110011111110110…
…0101110011000001000
3210001010222121012200002
43030333230232120020
512101242134133000
6245041300302132
721621403210514
oct3147754563010
9701128535602
10220112021000
1185392552263
12367ab0a1948
13179aac89011
14a921207144
155ad3e6b8d5
hex333fb2e608

220112021000 has 128 divisors (see below), whose sum is σ = 526407672960. Its totient is φ = 86115744000.

The previous prime is 220112020993. The next prime is 220112021057. The reversal of 220112021000 is 120211022.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17536727 + ... + 17549273.

It is an arithmetic number, because the mean of its divisors is an integer number (4112559945).

Almost surely, 2220112021000 is an apocalyptic number.

220112021000 is a gapful number since it is divisible by the number (20) 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 220112021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263203836480).

220112021000 is an abundant number, since it is smaller than the sum of its proper divisors (306295651960).

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

220112021000 is a wasteful number, since it uses less digits than its factorization.

220112021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12952 (or 12938 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220112021000 its reverse (120211022), we get a palindrome (220232232022).

The spelling of 220112021000 in words is "two hundred twenty billion, one hundred twelve million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 331 424 500 530 662 1000 1060 1324 1325 1655 2120 2648 2650 3310 5300 6620 6625 8275 10600 12547 13240 13250 16550 17543 25094 26500 33100 35086 41375 50188 53000 62735 66200 70172 82750 87715 100376 125470 140344 165500 175430 250940 313675 331000 350860 438575 501880 627350 664991 701720 877150 1254700 1329982 1568375 1754300 2192875 2509400 2659964 3136750 3324955 3508600 4153057 4385750 5319928 6273500 6649910 8306114 8771500 12547000 13299820 16612228 16624775 17543000 20765285 26599640 33224456 33249550 41530570 66499100 83061140 83123875 103826425 132998200 166122280 166247750 207652850 220112021 332495500 415305700 440224042 519132125 664991000 830611400 880448084 1038264250 1100560105 1760896168 2076528500 2201120210 4153057000 4402240420 5502800525 8804480840 11005601050 22011202100 27514002625 44022404200 55028005250 110056010500 220112021000