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2010312121020 = 2235724611483253
BaseRepresentation
bin11101010000001111111…
…100001001101010111100
321010011222002220212122020
4131100033330021222330
5230414104400333040
64135305153320140
7265145260041600
oct35201774115274
97104862825566
102010312121020
11705628868a55
12285741566050
13117757b04728
146d42a25d500
153745d490cd0
hex1d40ff09abc

2010312121020 has 144 divisors (see below), whose sum is σ = 6562081820448. Its totient is φ = 458502858240.

The previous prime is 2010312120997. The next prime is 2010312121039. The reversal of 2010312121020 is 201212130102.

It is a super-2 number, since 2×20103121210202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613714 + ... + 2096966.

It is an arithmetic number, because the mean of its divisors is an integer number (45570012642).

Almost surely, 22010312121020 is an apocalyptic number.

2010312121020 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 2010312121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040910224).

2010312121020 is an abundant number, since it is smaller than the sum of its proper divisors (4551769699428).

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

2010312121020 is a wasteful number, since it uses less digits than its factorization.

2010312121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483740 (or 1483731 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2010312121020 its reverse (201212130102), we get a palindrome (2211524251122).

The spelling of 2010312121020 in words is "two trillion, ten billion, three hundred twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 461 490 588 735 922 980 1383 1470 1844 2305 2766 2940 3227 4610 5532 6454 6915 9220 9681 12908 13830 16135 19362 22589 27660 32270 38724 45178 48405 64540 67767 90356 96810 112945 135534 193620 225890 271068 338835 451780 677670 1355340 1483253 2966506 4449759 5933012 7416265 8899518 10382771 14832530 17799036 20765542 22248795 29665060 31148313 41531084 44497590 51913855 62296626 72679397 88995180 103827710 124593252 145358794 155741565 207655420 218038191 290717588 311483130 363396985 436076382 622966260 683779633 726793970 872152764 1090190955 1367559266 1453587940 2051338899 2180381910 2735118532 3418898165 4102677798 4360763820 4786457431 6837796330 8205355596 9572914862 10256694495 13675592660 14359372293 19145829724 20513388990 23932287155 28718744586 33505202017 41026777980 47864574310 57437489172 67010404034 71796861465 95729148620 100515606051 134020808068 143593722930 167526010085 201031212102 287187445860 335052020170 402062424204 502578030255 670104040340 1005156060510 2010312121020