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10010221020999 = 32172367314532909
BaseRepresentation
bin1001000110101010111110…
…1010110000011101000111
31022102222010111212220202200
42101222233222300131013
52303001413040132444
633142344305005543
72052133415524323
oct221525752603507
938388114786680
1010010221020999
11320a346889411
12115806a9238b3
13577c62880044
142686d6786983
151255c740d969
hex91aafab0747

10010221020999 has 96 divisors (see below), whose sum is σ = 16015643429760. Its totient is φ = 5992723021824.

The previous prime is 10010221020977. The next prime is 10010221021019. The reversal of 10010221020999 is 99902012201001.

It is not a de Polignac number, because 10010221020999 - 215 = 10010220988231 is a prime.

It is a super-3 number, since 3×100102210209993 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010221090999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3441119557 + ... + 3441122465.

It is an arithmetic number, because the mean of its divisors is an integer number (166829619060).

Almost surely, 210010221020999 is an apocalyptic number.

10010221020999 is a deficient number, since it is larger than the sum of its proper divisors (6005422408761).

10010221020999 is a wasteful number, since it uses less digits than its factorization.

10010221020999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 10010221020999 in words is "ten trillion, ten billion, two hundred twenty-one million, twenty thousand, nine hundred ninety-nine".

Divisors: 1 3 9 17 23 51 69 153 207 391 673 1173 1453 2019 2909 3519 4359 6057 8727 11441 13077 15479 24701 26181 33419 34323 46437 49453 66907 74103 100257 102969 139311 148359 200721 222309 263143 300771 445077 568123 602163 789429 977869 1137419 1704369 1957757 2368287 2933607 3412257 4226777 5113107 5873271 8800821 10236771 12680331 16623773 17619813 22490987 33281869 38040993 45028411 49871319 67472961 71855209 97215871 99845607 135085233 149613957 202418883 215565627 291647613 299536821 382346779 405255699 646696881 765482987 874942839 1147040337 1652669807 2296448961 2844620921 3441121011 4958009421 6889346883 8533862763 14874028263 25601588289 48358555657 65426281183 145075666971 196278843549 435227000913 588836530647 1112246780111 3336740340333 10010221020999