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221000012010 = 2355787115561
BaseRepresentation
bin1100110111010010100…
…0001001000011101010
3210010102212111211100000
43031310220021003222
512110102000341020
6245305341123430
721652405051551
oct3156450110352
9703385454300
10221000012010
11857a8822028
12369b8559576
1317abcc3959b
14a9a7118d98
155b36dc5090
hex3374a090ea

221000012010 has 96 divisors (see below), whose sum is σ = 596643832512. Its totient is φ = 58857943680.

The previous prime is 221000011987. The next prime is 221000012017. The reversal of 221000012010 is 10210000122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221000011983 and 221000012001.

It is not an unprimeable number, because it can be changed into a prime (221000012017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1854630 + ... + 1970190.

It is an arithmetic number, because the mean of its divisors is an integer number (6215039922).

Almost surely, 2221000012010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221000012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298321916256).

221000012010 is an abundant number, since it is smaller than the sum of its proper divisors (375643820502).

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

221000012010 is a wasteful number, since it uses less digits than its factorization.

221000012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116370 (or 116358 counting only the distinct ones).

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

Adding to 221000012010 its reverse (10210000122), we get a palindrome (231210012132).

The spelling of 221000012010 in words is "two hundred twenty-one billion, twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 787 810 1215 1574 2361 2430 3935 4722 7083 7870 11805 14166 21249 23610 35415 42498 63747 70830 106245 115561 127494 191241 212490 231122 318735 346683 382482 577805 637470 693366 956205 1040049 1155610 1733415 1912410 2080098 3120147 3466830 5200245 6240294 9360441 10400490 15600735 18720882 28081323 31201470 46802205 56162646 90946507 93604410 140406615 181893014 272839521 280813230 454732535 545679042 818518563 909465070 1364197605 1637037126 2455555689 2728395210 4092592815 4911111378 7366667067 8185185630 12277778445 14733334134 22100001201 24555556890 36833335335 44200002402 73666670670 110500006005 221000012010