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220010221020 = 2235101179202823
BaseRepresentation
bin1100110011100110100…
…0011000110111011100
3210000212220001020100110
43030321220120313130
512101040104033040
6245023222330020
721616026010542
oct3147150306734
9700786036313
10220010221020
1185340041447
1236780b89910
1317992b65145
14a9118a7d92
155aca05d980
hex3339a18ddc

220010221020 has 96 divisors (see below), whose sum is σ = 625606571520. Its totient is φ = 57763705600.

The previous prime is 220010221007. The next prime is 220010221027. The reversal of 220010221020 is 20122010022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220010220987 and 220010221005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220010221027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983329 + ... + 1186151.

It is an arithmetic number, because the mean of its divisors is an integer number (6516735120).

Almost surely, 2220010221020 is an apocalyptic number.

220010221020 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 220010221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312803285760).

220010221020 is an abundant number, since it is smaller than the sum of its proper divisors (405596350500).

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

220010221020 is a wasteful number, since it uses less digits than its factorization.

220010221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203115 (or 203113 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220010221020 its reverse (20122010022), we get a palindrome (240132231042).

The spelling of 220010221020 in words is "two hundred twenty billion, ten million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 179 202 303 358 404 505 537 606 716 895 1010 1074 1212 1515 1790 2020 2148 2685 3030 3580 5370 6060 10740 18079 36158 54237 72316 90395 108474 180790 202823 216948 271185 361580 405646 542370 608469 811292 1014115 1084740 1216938 2028230 2433876 3042345 4056460 6084690 12169380 20485123 36305317 40970246 61455369 72610634 81940492 102425615 108915951 122910738 145221268 181526585 204851230 217831902 245821476 307276845 363053170 409702460 435663804 544579755 614553690 726106340 1089159510 1229107380 2178319020 3666837017 7333674034 11000511051 14667348068 18334185085 22001022102 36668370170 44002044204 55002555255 73336740340 110005110510 220010221020