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2210210010012 = 2233728325436917
BaseRepresentation
bin100000001010011010110…
…010000101001110011100
321211021221100001210011110
4200022122302011032130
5242203002230310022
64411204555022020
7315453031052064
oct40123262051634
97737840053143
102210210010012
11782387a26694
122b842aa3a910
13130563c21294
1478d909603a4
153c75c99500c
hex2029ac8539c

2210210010012 has 96 divisors (see below), whose sum is σ = 5318113876992. Its totient is φ = 713907806976.

The previous prime is 2210210010011. The next prime is 2210210010031. The reversal of 2210210010012 is 2100100120122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2210210010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210210010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319529578 + ... + 319536494.

It is an arithmetic number, because the mean of its divisors is an integer number (55397019552).

Almost surely, 22210210010012 is an apocalyptic number.

It is an amenable number.

2210210010012 is an abundant number, since it is smaller than the sum of its proper divisors (3107903866980).

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

2210210010012 is a wasteful number, since it uses less digits than its factorization.

2210210010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9787 (or 9785 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2210210010012 its reverse (2100100120122), we get a palindrome (4310310130134).

The spelling of 2210210010012 in words is "two trillion, two hundred ten billion, two hundred ten million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 283 444 566 849 1132 1698 2543 3396 5086 6917 7629 10172 10471 13834 15258 20751 20942 27668 30516 31413 41502 41884 62826 83004 94091 125652 188182 255929 282273 376364 511858 564546 719669 767787 1023716 1129092 1439338 1535574 1957511 2159007 2878676 3071148 3915022 4318014 5872533 7830044 8636028 11745066 17589931 23490132 26627753 35179862 52769793 53255506 70359724 72427907 79883259 105539586 106511012 144855814 159766518 211079172 217283721 289711628 319533036 434567442 650827447 869134884 1301654894 1952482341 2603309788 3904964682 4977950473 7809929364 9955900946 14933851419 19911801892 29867702838 59735405676 184184167501 368368335002 552552502503 736736670004 1105105005006 2210210010012