Search a number
-
+
220011121020 = 223529839150707
BaseRepresentation
bin1100110011100110101…
…1110100100101111100
3210000212221201221220210
43030321223310211330
512101040321333040
6245023253512420
721616036446465
oct3147153644574
9700787657823
10220011121020
11853405a6649
1236781342710
13179930bb9a2
14a911a5dd6c
155aca18a480
hex3339af497c

220011121020 has 96 divisors (see below), whose sum is σ = 638037388800. Its totient is φ = 56578649344.

The previous prime is 220011121019. The next prime is 220011121069. The reversal of 220011121020 is 20121110022.

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 = 220011120987 and 220011121005.

It is a congruent 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, 1384507 + ... + 1535213.

It is an arithmetic number, because the mean of its divisors is an integer number (6646222800).

Almost surely, 2220011121020 is an apocalyptic number.

220011121020 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 220011121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319018694400).

220011121020 is an abundant number, since it is smaller than the sum of its proper divisors (418026267780).

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

220011121020 is a wasteful number, since it uses less digits than its factorization.

220011121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151587 (or 151585 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220011121020 its reverse (20121110022), we get a palindrome (240132231042).

The spelling of 220011121020 in words is "two hundred twenty billion, eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 839 870 1678 1740 2517 3356 4195 5034 8390 10068 12585 16780 24331 25170 48662 50340 72993 97324 121655 145986 150707 243310 291972 301414 364965 452121 486620 602828 729930 753535 904242 1459860 1507070 1808484 2260605 3014140 4370503 4521210 8741006 9042420 13111509 17482012 21852515 26223018 43705030 52446036 65557545 87410060 126443173 131115090 252886346 262230180 379329519 505772692 632215865 758659038 1264431730 1517318076 1896647595 2528863460 3666852017 3793295190 7333704034 7586590380 11000556051 14667408068 18334260085 22001112102 36668520170 44002224204 55002780255 73337040340 110005560510 220011121020