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2010123123220 = 2251767206342773
BaseRepresentation
bin11101010000000100101…
…011001011101000010100
321010011110221021210101201
4131100010223023220110
5230413213004420340
64135234322402244
7265140503426602
oct35200453135024
97104427253351
102010123123220
11705541110123
122856aa200384
13117727900204
146d40d102872
153744baab79a
hex1d404acba14

2010123123220 has 96 divisors (see below), whose sum is σ = 4538582834688. Its totient is φ = 745078659072.

The previous prime is 2010123123199. The next prime is 2010123123257. The reversal of 2010123123220 is 223213210102.

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 31 ways as a sum of consecutive naturals, for example, 46973754 + ... + 47016526.

It is an arithmetic number, because the mean of its divisors is an integer number (47276904528).

Almost surely, 22010123123220 is an apocalyptic number.

2010123123220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010123123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269291417344).

2010123123220 is an abundant number, since it is smaller than the sum of its proper divisors (2528459711468).

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

2010123123220 is a wasteful number, since it uses less digits than its factorization.

2010123123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44929 (or 44927 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2010123123220 its reverse (223213210102), we get a palindrome (2233336333322).

The spelling of 2010123123220 in words is "two trillion, ten billion, one hundred twenty-three million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 1139 1340 2063 2278 4126 4556 5695 8252 10315 11390 20630 22780 35071 41260 42773 70142 85546 138221 140284 171092 175355 213865 276442 350710 427730 552884 691105 701420 727141 855460 1382210 1454282 2349757 2764420 2865791 2908564 3635705 4699514 5731582 7271410 9399028 11463164 11748785 14328955 14542820 23497570 28657910 46995140 48718447 57315820 88240699 97436894 176481398 194873788 243592235 352962796 441203495 487184470 882406990 974368940 1500091883 1764813980 3000183766 5912126833 6000367532 7500459415 11824253666 15000918830 23648507332 29560634165 30001837660 59121268330 100506156161 118242536660 201012312322 402024624644 502530780805 1005061561610 2010123123220