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10201000020222 = 23114113151475591
BaseRepresentation
bin1001010001110001101011…
…1110111000100011111110
31100010012120020020020011210
42110130122332320203332
52314113122001121342
633410135201025250
72101666201335204
oct224343276704376
940105506206153
1010201000020222
113283246632210
121189032325226
1358cc476c0b2b
14273a33d65074
1512a54109e79c
hex9471afb88fe

10201000020222 has 128 divisors (see below), whose sum is σ = 22982190206976. Its totient is φ = 2991678560000.

The previous prime is 10201000020217. The next prime is 10201000020247. The reversal of 10201000020222 is 22202000010201.

It is a junction number, because it is equal to n+sod(n) for n = 10201000020198 and 10201000020207.

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, 1824536647 + ... + 1824542237.

It is an arithmetic number, because the mean of its divisors is an integer number (179548360992).

Almost surely, 210201000020222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201000020222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491095103488).

10201000020222 is an abundant number, since it is smaller than the sum of its proper divisors (12781190186754).

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

10201000020222 is a wasteful number, since it uses less digits than its factorization.

10201000020222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10926.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10201000020222 its reverse (22202000010201), we get a palindrome (32403000030423).

The spelling of 10201000020222 in words is "ten trillion, two hundred one billion, twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 131 246 262 393 451 786 902 1353 1441 2706 2882 4323 5147 5371 5591 8646 10294 10742 11182 15441 16113 16773 30882 32226 33546 56617 59081 61501 113234 118162 123002 169851 177243 184503 211027 229231 339702 354486 369006 422054 458462 633081 674257 687693 732421 1266162 1348514 1375386 1464842 2022771 2197263 2321297 2521541 4045542 4394526 4642594 5043082 6963891 7416827 7564623 8056631 13927782 14833654 15129246 16113262 22250481 24169893 27644537 28776877 30029261 44500962 48339786 55289074 57553754 60058522 82933611 86330631 90087783 165867222 172661262 180175566 304089907 316545647 330321871 608179814 633091294 660643742 912269721 949636941 990965613 1179851957 1824539442 1899273882 1981931226 2359703914 3539555871 3769770887 7079111742 7539541774 11309312661 12978371527 22618625322 25956743054 38935114581 41467479757 77870229162 82934959514 124402439271 154560606367 248804878542 309121212734 463681819101 927363638202 1700166670037 3400333340074 5100500010111 10201000020222