Search a number
-
+
221212022212110 = 235173782871414619
BaseRepresentation
bin110010010011000011110000…
…000000010000011000001110
31002000020122220011201022211210
4302103003300000100120032
5212443314210141241420
62102251222225555250
764411020062220516
oct6223036000203016
91060218804638753
10221212022212110
116453754560a366
12209884567a5b26
13965828679b397
143c8aa0cd2a846
151a893742bc9e0
hexc930f001060e

221212022212110 has 128 divisors (see below), whose sum is σ = 577401801338880. Its totient is φ = 54012786038784.

The previous prime is 221212022212081. The next prime is 221212022212169. The reversal of 221212022212110 is 11212220212122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155668381 + ... + 157082999.

It is an arithmetic number, because the mean of its divisors is an integer number (4510951572960).

Almost surely, 2221212022212110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221212022212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288700900669440).

221212022212110 is an abundant number, since it is smaller than the sum of its proper divisors (356189779126770).

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

221212022212110 is a wasteful number, since it uses less digits than its factorization.

221212022212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422970.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 221212022212110 its reverse (11212220212122), we get a palindrome (232424242424232).

The spelling of 221212022212110 in words is "two hundred twenty-one trillion, two hundred twelve billion, twenty-two million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 370 510 555 629 1110 1258 1887 3145 3774 6290 8287 9435 16574 18870 24861 41435 49722 82870 124305 140879 248610 281758 306619 422637 613238 704395 845274 919857 1408790 1414619 1533095 1839714 2113185 2829238 3066190 4226370 4243857 4599285 5212523 7073095 8487714 9198570 10425046 14146190 15637569 21219285 24048523 26062615 31275138 42438570 48097046 52125230 52340903 72145569 78187845 104681806 120242615 144291138 156375690 157022709 240485230 261704515 314045418 360727845 523409030 721455690 785113545 889795351 1570227090 1779590702 2669386053 4448976755 5338772106 8897953510 11722947653 13346930265 23445895306 26693860530 35168842959 58614738265 70337685918 117229476530 175844214795 199290110101 351688429590 398580220202 433749063161 597870330303 867498126322 996450550505 1195740660606 1301247189483 1992901101010 2168745315805 2602494378966 2989351651515 4337490631610 5978703303030 6506235947415 7373734073737 13012471894830 14747468147474 22121202221211 36868670368685 44242404442422 73737340737370 110606011106055 221212022212110