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10010220120021 = 31128310314332251
BaseRepresentation
bin1001000110101010111110…
…0111010100011111010101
31022102222010110012010212010
42101222233213110133111
52303001412322320041
633142344233414433
72052133405052502
oct221525747243725
938388113163763
1010010220120021
11320a346323500
12115806a56a419
13577c62625c14
142686d65d04a9
151255c72d1a16
hex91aaf9d47d5

10010220120021 has 96 divisors (see below), whose sum is σ = 15008655707136. Its totient is φ = 5928737760000.

The previous prime is 10010220120011. The next prime is 10010220120037. The reversal of 10010220120021 is 12002102201001.

It is not a de Polignac number, because 10010220120021 - 217 = 10010219988949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010220119979 and 10010220120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010220120011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4447009146 + ... + 4447011396.

It is an arithmetic number, because the mean of its divisors is an integer number (156340163616).

Almost surely, 210010220120021 is an apocalyptic number.

10010220120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010220120021 is a deficient number, since it is larger than the sum of its proper divisors (4998435587115).

10010220120021 is a wasteful number, since it uses less digits than its factorization.

10010220120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10010220120021 its reverse (12002102201001), we get a palindrome (22012322321022).

The spelling of 10010220120021 in words is "ten trillion, ten billion, two hundred twenty million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 11 33 83 103 121 249 309 363 913 1133 1433 2251 2739 3399 4299 6753 8549 10043 12463 15763 24761 25647 30129 37389 47289 74283 94039 118939 147599 173393 186833 231853 272371 282117 356817 442797 520179 560499 695559 817113 1034429 1308329 1623589 2055163 2550383 3103287 3225683 3924987 4870767 6165489 7651149 9677049 12250717 14391619 17859479 19243799 22606793 28054213 35482513 36752151 43174857 53578437 57731397 67820379 84162639 106447539 134757887 211681789 267731689 332245349 390307643 404273661 635045367 803195067 996736047 1170922929 1482336757 2328499679 2945048579 3654698839 4447010271 6985499037 8835145737 10964096517 27576363967 32395534369 40201687229 82729091901 97186603107 120605061687 303340003637 910020010911 3336740040007 10010220120021