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2010210210112 = 261323833101377
BaseRepresentation
bin11101010000001001110…
…111011001000101000000
321010011201000011021011011
4131100021313121011000
5230413402303210422
64135251113130304
7265142611600336
oct35201167310500
97104630137134
102010210210112
11705586291865
122857133b9994
1311773c972210
146d41a8d1b56
1537454560077
hex1d409dd9140

2010210210112 has 56 divisors (see below), whose sum is σ = 4296080502056. Its totient is φ = 927741247488.

The previous prime is 2010210210109. The next prime is 2010210210221. The reversal of 2010210210112 is 2110120120102.

It can be written as a sum of positive squares in 4 ways, for example, as 803059730496 + 1207150479616 = 896136^2 + 1098704^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2010210210092 and 2010210210101.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19778368 + ... + 19879744.

It is an arithmetic number, because the mean of its divisors is an integer number (76715723251).

Almost surely, 22010210210112 is an apocalyptic number.

It is an amenable number.

2010210210112 is an abundant number, since it is smaller than the sum of its proper divisors (2285870291944).

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

2010210210112 is a wasteful number, since it uses less digits than its factorization.

2010210210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125235 (or 125225 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2010210210112 its reverse (2110120120102), we get a palindrome (4120330330214).

The spelling of 2010210210112 in words is "two trillion, ten billion, two hundred ten million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 23833 47666 95332 101377 190664 202754 309829 381328 405508 619658 762656 811016 1239316 1317901 1525312 1622032 2478632 2635802 3244064 4957264 5271604 6488128 9914528 10543208 19829056 21086416 42172832 84345664 2416118041 4832236082 9664472164 19328944328 31409534533 38657888656 62819069066 77315777312 125638138132 154631554624 251276276264 502552552528 1005105105056 2010210210112