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2010010010202 = 2322367461157189
BaseRepresentation
bin11101001111111101111…
…011101100001001011010
321010011012001110001111200
4131033331323230021122
5230413000030311302
64135215202135030
7265134631121205
oct35177573541132
97104161401450
102010010010202
11705493282697
12285678351476
1311770a347c2c
146d3dc09a93c
1537441bb681c
hex1d3fdeec25a

2010010010202 has 96 divisors (see below), whose sum is σ = 4622231053440. Its totient is φ = 629934053760.

The previous prime is 2010010010161. The next prime is 2010010010209. The reversal of 2010010010202 is 2020100100102.

It is a super-2 number, since 2×20100100102022 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2010010010209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12708624 + ... + 12865812.

It is an arithmetic number, because the mean of its divisors is an integer number (48148240140).

Almost surely, 22010010010202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010010010202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311115526720).

2010010010202 is an abundant number, since it is smaller than the sum of its proper divisors (2612221043238).

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

2010010010202 is a wasteful number, since it uses less digits than its factorization.

2010010010202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157748 (or 157745 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2010010010202 its reverse (2020100100102), we get a palindrome (4030110110304).

The spelling of 2010010010202 in words is "two trillion, ten billion, ten million, ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 46 67 69 134 138 201 207 402 414 461 603 922 1206 1383 1541 2766 3082 4149 4623 8298 9246 10603 13869 21206 27738 30887 31809 61774 63618 92661 95427 157189 185322 190854 277983 314378 471567 555966 710401 943134 1414701 1420802 2131203 2829402 3615347 4262406 6393609 7230694 10531663 10846041 12787218 21063326 21692082 31594989 32538123 63189978 65076246 72464129 94784967 144928258 189569934 217392387 242228249 434784774 484456498 652177161 726684747 1304354322 1453369494 1666674967 2180054241 3333349934 4360108482 4855096643 5000024901 9710193286 10000049802 14565289929 15000074703 29130579858 30000149406 43695869787 87391739574 111667222789 223334445578 335001668367 670003336734 1005005005101 2010010010202