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2010042115242 = 23731277764837
BaseRepresentation
bin11101001111111111110…
…110001010010010101010
321010011021021212011100020
4131033333312022102222
5230413031240141432
64135222310221310
7265135501035000
oct35177766122252
97104237764306
102010042115242
117054aa410687
12285687054836
13117713ba90b5
146d402456a70
153744490922c
hex1d3ffd8a4aa

2010042115242 has 64 divisors (see below), whose sum is σ = 4691822227200. Its totient is φ = 573847272768.

The previous prime is 2010042115229. The next prime is 2010042115261. The reversal of 2010042115242 is 2425112400102.

It is a super-3 number, since 3×20100421152423 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2245648 + ... + 3010484.

It is an arithmetic number, because the mean of its divisors is an integer number (73309722300).

Almost surely, 22010042115242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010042115242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345911113600).

2010042115242 is an abundant number, since it is smaller than the sum of its proper divisors (2681780111958).

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

2010042115242 is a wasteful number, since it uses less digits than its factorization.

2010042115242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766140 (or 766126 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 2010042115242 its reverse (2425112400102), we get a palindrome (4435154515344).

The spelling of 2010042115242 in words is "two trillion, ten billion, forty-two million, one hundred fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 1277 2058 2554 3831 7662 8939 17878 26817 53634 62573 125146 187719 375438 438011 764837 876022 1314033 1529674 2294511 2628066 4589022 5353859 10707718 16061577 32123154 37477013 74954026 112431039 224862078 262339091 524678182 787017273 976696849 1574034546 1953393698 2930090547 5860181094 6836877943 13673755886 20510633829 41021267658 47858145601 95716291202 143574436803 287148873606 335007019207 670014038414 1005021057621 2010042115242