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2010234100 = 225274189787
BaseRepresentation
bin111011111010001…
…1011110011110100
312012002121110202211
41313310123303310
513104104442400
6531250143204
7100546464550
oct16764336364
95162543684
102010234100
119417a76a6
12481281b04
1326061b644
14150da0860
15bb734dba
hex77d1bcf4

2010234100 has 144 divisors (see below), whose sum is σ = 5170919040. Its totient is φ = 664012800.

The previous prime is 2010234097. The next prime is 2010234101. The reversal of 2010234100 is 14320102.

2010234100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20102341002 = 8082082273605620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010234101) 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, 2553907 + ... + 2554693.

It is an arithmetic number, because the mean of its divisors is an integer number (35909160).

Almost surely, 22010234100 is an apocalyptic number.

2010234100 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 2010234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585459520).

2010234100 is an abundant number, since it is smaller than the sum of its proper divisors (3160684940).

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

2010234100 is a wasteful number, since it uses less digits than its factorization.

2010234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2010234100 is about 44835.6342656151. The cubic root of 2010234100 is about 1262.0664210576.

Adding to 2010234100 its reverse (14320102), we get a palindrome (2024554202).

The spelling of 2010234100 in words is "two billion, ten million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 89 100 140 164 175 178 205 287 350 356 410 445 574 623 700 787 820 890 1025 1148 1246 1435 1574 1780 2050 2225 2492 2870 3115 3148 3649 3935 4100 4450 5509 5740 6230 7175 7298 7870 8900 11018 12460 14350 14596 15575 15740 18245 19675 22036 25543 27545 28700 31150 32267 36490 39350 51086 55090 62300 64534 70043 72980 78700 91225 102172 110180 127715 129068 137725 140086 161335 182450 225869 255430 275450 280172 322670 350215 364900 451738 490301 510860 550900 638575 645340 700430 806675 903476 980602 1129345 1277150 1400860 1613350 1751075 1961204 2258690 2451505 2554300 2871763 3226700 3502150 4517380 4903010 5646725 5743526 7004300 9806020 11293450 11487052 12257525 14358815 20102341 22586900 24515050 28717630 40204682 49030100 57435260 71794075 80409364 100511705 143588150 201023410 287176300 402046820 502558525 1005117050 2010234100