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10020000012220 = 2251173677921581
BaseRepresentation
bin1001000111001111011010…
…0010101001011110111100
31022110220101000210010211201
42101303312202221132330
52303131430000342340
633151042514425244
72052630640551652
oct221636642513674
938426330703751
1010020000012220
113213504871240
121159b39892224
13578b60838893
14268d83418dd2
1512599abb279a
hex91cf68a97bc

10020000012220 has 96 divisors (see below), whose sum is σ = 23303756500416. Its totient is φ = 3588411340800.

The previous prime is 10020000012199. The next prime is 10020000012221. The reversal of 10020000012220 is 2221000002001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10020000012197 and 10020000012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020000012221) 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, 10411830 + ... + 11333410.

It is an arithmetic number, because the mean of its divisors is an integer number (242747463546).

Almost surely, 210020000012220 is an apocalyptic number.

10020000012220 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 10020000012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11651878250208).

10020000012220 is an abundant number, since it is smaller than the sum of its proper divisors (13283756488196).

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

10020000012220 is a wasteful number, since it uses less digits than its factorization.

10020000012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922351 (or 922349 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10020000012220 its reverse (2221000002001), we get a palindrome (12241000014221).

The spelling of 10020000012220 in words is "ten trillion, twenty billion, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 677 730 803 1354 1460 1606 2708 3212 3385 4015 6770 7447 8030 13540 14894 16060 29788 37235 49421 74470 98842 148940 197684 247105 494210 543631 921581 988420 1087262 1843162 2174524 2718155 3686324 4607905 5436310 9215810 10137391 10872620 18431620 20274782 40549564 50686955 67275413 101373910 134550826 202747820 269101652 336377065 623910337 672754130 740029543 1247820674 1345508260 1480059086 2495641348 2960118172 3119551685 3700147715 6239103370 6863013707 7400295430 12478206740 13726027414 14800590860 27452054828 34315068535 45545454601 68630137070 91090909202 137260274140 182181818404 227727273005 455454546010 501000000611 910909092020 1002000001222 2004000002444 2505000003055 5010000006110 10020000012220