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2102021012 = 2272136431283
BaseRepresentation
bin111110101001010…
…0100101110010100
312102111022201202002
41331102210232110
513301104133022
6544325334432
7103042612100
oct17522445624
95374281662
102102021012
11989599553
124a7b67418
13276647a20
1415d254900
15c4816092
hex7d4a4b94

2102021012 has 72 divisors (see below), whose sum is σ = 4619041056. Its totient is φ = 829628352.

The previous prime is 2102020993. The next prime is 2102021027. The reversal of 2102021012 is 2101202012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2102020984 and 2102021002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1637723 + ... + 1639005.

It is an arithmetic number, because the mean of its divisors is an integer number (64153348).

Almost surely, 22102021012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309520528).

2102021012 is an abundant number, since it is smaller than the sum of its proper divisors (2517020044).

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

2102021012 is a wasteful number, since it uses less digits than its factorization.

2102021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1948 counting only the distinct ones).

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

The square root of 2102021012 is about 45847.8026954401. The cubic root of 2102021012 is about 1280.9898373784.

Adding to 2102021012 its reverse (2101202012), we get a palindrome (4203223024).

The spelling of 2102021012 in words is "two billion, one hundred two million, twenty-one thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 643 1274 1283 1286 2548 2566 2572 4501 5132 8359 8981 9002 16679 16718 17962 18004 31507 33358 33436 35924 58513 62867 63014 66716 116753 117026 125734 126028 233506 234052 251468 409591 467012 817271 819182 824969 1634542 1638364 1649938 3269084 3299876 5774783 10724597 11549566 21449194 23099132 40423481 42898388 75072179 80846962 150144358 161693924 300288716 525505253 1051010506 2102021012