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23060210000 = 245412891789
BaseRepresentation
bin10101011110011111…
…101110000101010000
32012112002212001011212
4111132133232011100
5334211403210000
614332124155252
71444311356642
oct253637560520
965462761155
1023060210000
1198639840a3
124576998b28
1322366b0899
14118a8c2892
158ee754c35
hex55e7ee150

23060210000 has 100 divisors (see below), whose sum is σ = 55905620100. Its totient is φ = 9211776000.

The previous prime is 23060209993. The next prime is 23060210023. The reversal of 23060210000 is 1206032.

It can be written as a sum of positive squares in 10 ways, for example, as 7938097216 + 15122112784 = 89096^2 + 122972^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12889106 + ... + 12890894.

It is an arithmetic number, because the mean of its divisors is an integer number (559056201).

Almost surely, 223060210000 is an apocalyptic number.

23060210000 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 23060210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27952810050).

23060210000 is an abundant number, since it is smaller than the sum of its proper divisors (32845410100).

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

23060210000 is a wasteful number, since it uses less digits than its factorization.

23060210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23060210000 its reverse (1206032), we get a palindrome (23061416032).

The spelling of 23060210000 in words is "twenty-three billion, sixty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1289 1789 2000 2500 2578 3578 5000 5156 6445 7156 8945 10000 10312 12890 14312 17890 20624 25780 28624 32225 35780 44725 51560 64450 71560 89450 103120 128900 143120 161125 178900 223625 257800 322250 357800 447250 515600 644500 715600 805625 894500 1118125 1289000 1611250 1789000 2236250 2306021 2578000 3222500 3578000 4472500 4612042 6445000 8945000 9224084 11530105 12890000 17890000 18448168 23060210 36896336 46120420 57650525 92240840 115301050 184481680 230602100 288252625 461204200 576505250 922408400 1153010500 1441263125 2306021000 2882526250 4612042000 5765052500 11530105000 23060210000