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102020012021 = 292281433997
BaseRepresentation
bin101111100000011011…
…1011101011111110101
3100202022221122120210202
41133000313131133311
53132414110341041
6114511202530245
710241102536244
oct1370067353765
9322287576722
10102020012021
113a2a2701024
1217932366985
13980b172825
144d1b44895b
1529c1751a9b
hex17c0ddd7f5

102020012021 has 24 divisors (see below), whose sum is σ = 106386748104. Its totient is φ = 97826641920.

The previous prime is 102020011969. The next prime is 102020012089. The reversal of 102020012021 is 120210020201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 8849164900 + 93170847121 = 94070^2 + 305239^2 .

It is a de Polignac number, because none of the positive numbers 2k-102020012021 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102020011993 and 102020012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020012921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102326495 + ... + 102327491.

It is an arithmetic number, because the mean of its divisors is an integer number (4432781171).

Almost surely, 2102020012021 is an apocalyptic number.

It is an amenable number.

102020012021 is a deficient number, since it is larger than the sum of its proper divisors (4366736083).

102020012021 is an equidigital number, since it uses as much as digits as its factorization.

102020012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102020012021 its reverse (120210020201), we get a palindrome (222230032222).

The spelling of 102020012021 in words is "one hundred two billion, twenty million, twelve thousand, twenty-one".

Divisors: 1 29 281 433 841 997 8149 12557 28913 121673 236321 280157 364153 431701 838477 3528517 8124553 12519329 102326993 121307981 235612037 363060541 3517931449 102020012021