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102022010201121 = 31773111724532831
BaseRepresentation
bin10111001100100111011001…
…101011010110010000100001
3111101020012122022020110000220
4113030213121223112100201
5101333012034102413441
61000552133042433253
730326563343234013
oct2714473153262041
9441205568213026
10102022010201121
112a56432306091a
12b538670962829
1344c083269155a
141b29c6a93a1b3
15bbdc5ec43466
hex5cc9d9ad6421

102022010201121 has 32 divisors (see below), whose sum is σ = 146134818505728. Its totient is φ = 63080382597120.

The previous prime is 102022010201117. The next prime is 102022010201141. The reversal of 102022010201121 is 121102010220201.

It is not a de Polignac number, because 102022010201121 - 22 = 102022010201117 is a prime.

It is a super-5 number, since 5×1020220102011215 (a number of 71 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102022010201121.

It is not an unprimeable number, because it can be changed into a prime (102022010201141) 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 31 ways as a sum of consecutive naturals, for example, 8107825 + ... + 16425006.

It is an arithmetic number, because the mean of its divisors is an integer number (4566713078304).

Almost surely, 2102022010201121 is an apocalyptic number.

It is an amenable number.

102022010201121 is a deficient number, since it is larger than the sum of its proper divisors (44112808304607).

102022010201121 is a wasteful number, since it uses less digits than its factorization.

102022010201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24534041.

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

Adding to 102022010201121 its reverse (121102010220201), we get a palindrome (223124020421322).

The spelling of 102022010201121 in words is "one hundred two trillion, twenty-two billion, ten million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 3 17 51 73 219 1117 1241 3351 3723 18989 56967 81541 244623 1386197 4158591 24532831 73598493 417058127 1251174381 1790896663 5372689989 27403172227 30445243271 82209516681 91335729813 465853927859 1397561783577 2000431572571 6001294717713 34007336733707 102022010201121