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101022201121002 = 23725316738821933
BaseRepresentation
bin10110111110000100010000…
…011010011000100011101010
3111020200121221220001202101120
4112332010100122120203222
5101220121431441333002
6554504543012200110
730164420214253500
oct2676042032304352
9436617856052346
10101022201121002
112a209302986957
12b3b6942909036
13444a477b21075
141ad37019d0670
15ba2c45140cbc
hex5be1106988ea

101022201121002 has 96 divisors (see below), whose sum is σ = 240899728309632. Its totient is φ = 28149317030016.

The previous prime is 101022201120937. The next prime is 101022201121033. The reversal of 101022201121002 is 200121102220101.

101022201121002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16808773 + ... + 22013160.

It is an arithmetic number, because the mean of its divisors is an integer number (2509372169892).

Almost surely, 2101022201121002 is an apocalyptic number.

101022201121002 is an abundant number, since it is smaller than the sum of its proper divisors (139877527188630).

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

101022201121002 is a wasteful number, since it uses less digits than its factorization.

101022201121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38822172 (or 38822165 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101022201121002 its reverse (200121102220101), we get a palindrome (301143303341103).

The spelling of 101022201121002 in words is "one hundred one trillion, twenty-two billion, two hundred one million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 167 294 318 334 371 501 742 1002 1113 1169 2226 2338 2597 3507 5194 7014 7791 8183 8851 15582 16366 17702 24549 26553 49098 53106 61957 123914 185871 371742 433699 867398 1301097 2602194 38821933 77643866 116465799 232931598 271753531 543507062 815260593 1630521186 1902274717 2057562449 3804549434 4115124898 5706824151 6172687347 6483262811 11413648302 12345374694 12966525622 14402937143 19449788433 28805874286 38899576866 43208811429 45382839677 86417622858 90765679354 100820560001 136148519031 201641120002 272297038062 302461680003 317679877739 343612928983 604923360006 635359755478 687225857966 953039633217 1030838786949 1906079266434 2061677573898 2405290502881 4810581005762 7215871508643 14431743017286 16837033520167 33674067040334 50511100560501 101022201121002