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10221001110 = 232541267559
BaseRepresentation
bin10011000010011100…
…00001100110010110
3222101022121122122200
421201032001212112
5131413034013420
64410115305330
7511200035025
oct114116014626
928338548580
1010221001110
114375541461
121b92bab246
13c6b718768
146cd6508bc
153ec4b4b90
hex261381996

10221001110 has 72 divisors (see below), whose sum is σ = 27238975920. Its totient is φ = 2659082880.

The previous prime is 10221001097. The next prime is 10221001129. The reversal of 10221001110 is 1110012201.

It is a happy number.

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 = 10221001092 and 10221001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117511 + ... + 185069.

It is an arithmetic number, because the mean of its divisors is an integer number (378319110).

Almost surely, 210221001110 is an apocalyptic number.

10221001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13619487960).

10221001110 is an abundant number, since it is smaller than the sum of its proper divisors (17017974810).

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

10221001110 is a wasteful number, since it uses less digits than its factorization.

10221001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67654 (or 67610 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10221001110 its reverse (1110012201), we get a palindrome (11331013311).

The spelling of 10221001110 in words is "ten billion, two hundred twenty-one million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1681 1845 3362 3690 5043 8405 10086 15129 16810 25215 30258 50430 67559 75645 135118 151290 202677 337795 405354 608031 675590 1013385 1216062 2026770 2769919 3040155 5539838 6080310 8309757 13849595 16619514 24929271 27699190 41548785 49858542 83097570 113566679 124646355 227133358 249292710 340700037 567833395 681400074 1022100111 1135666790 1703500185 2044200222 3407000370 5110500555 10221001110