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2101202012 = 22713334157
BaseRepresentation
bin111110100111101…
…1100110001011100
312102102210010021202
41331033130301130
513300401431022
6544300015032
7103032631250
oct17517346134
95372703252
102101202012
1198908a198
124a7831478
1327641c000
1415d0c0260
15c4703592
hex7d3dcc5c

2101202012 has 48 divisors (see below), whose sum is σ = 4552578240. Its totient is φ = 831220416.

The previous prime is 2101201967. The next prime is 2101202029. The reversal of 2101202012 is 2102021012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2101201984 and 2101202002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44438 + ... + 78594.

It is an arithmetic number, because the mean of its divisors is an integer number (94845380).

Almost surely, 22101202012 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 2101202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276289120).

2101202012 is an abundant number, since it is smaller than the sum of its proper divisors (2451376228).

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

2101202012 is a wasteful number, since it uses less digits than its factorization.

2101202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34207 (or 34179 counting only the distinct ones).

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

The square root of 2101202012 is about 45838.8700995127. The cubic root of 2101202012 is about 1280.8234471987.

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

The spelling of 2101202012 in words is "two billion, one hundred one million, two hundred two thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2197 2366 4394 4732 8788 15379 30758 34157 61516 68314 136628 239099 444041 478198 888082 956396 1776164 3108287 5772533 6216574 11545066 12433148 23090132 40407731 75042929 80815462 150085858 161630924 300171716 525300503 1050601006 2101202012