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10042300134200 = 2352101503988357
BaseRepresentation
bin1001001000100010011110…
…1110110111001100111000
31022120000221011101201021102
42102020213232313030320
52304013112313243300
633205211411430532
72054350362505565
oct222104756671470
938500834351242
1010042300134200
113221a08694a14
121162321bb5448
1357aca58cc029
1426a09ada186c
151263538260d5
hex92227bb7338

10042300134200 has 96 divisors (see below), whose sum is σ = 23626421249760. Its totient is φ = 3969237696000.

The previous prime is 10042300134197. The next prime is 10042300134239. The reversal of 10042300134200 is 243100324001.

10042300134200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9666422 + ... + 10654778.

It is an arithmetic number, because the mean of its divisors is an integer number (246108554685).

Almost surely, 210042300134200 is an apocalyptic number.

10042300134200 is a gapful number since it is divisible by the number (10) 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 10042300134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11813210624880).

10042300134200 is an abundant number, since it is smaller than the sum of its proper divisors (13584121115560).

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

10042300134200 is a wasteful number, since it uses less digits than its factorization.

10042300134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988977 (or 988968 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10042300134200 its reverse (243100324001), we get a palindrome (10285400458201).

The spelling of 10042300134200 in words is "ten trillion, forty-two billion, three hundred million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 503 505 808 1006 1010 2012 2020 2515 2525 4024 4040 5030 5050 10060 10100 12575 20120 20200 25150 50300 50803 100600 101606 203212 254015 406424 508030 988357 1016060 1270075 1976714 2032120 2540150 3953428 4941785 5080300 7906856 9883570 10160600 19767140 24708925 39534280 49417850 98835700 99824057 197671400 199648114 399296228 497143571 499120285 798592456 994287142 998240570 1988574284 1996481140 2485717855 2495601425 3977148568 3992962280 4971435710 4991202850 9942871420 9982405700 12428589275 19885742840 19964811400 24857178550 49714357100 50211500671 99428714200 100423001342 200846002684 251057503355 401692005368 502115006710 1004230013420 1255287516775 2008460026840 2510575033550 5021150067100 10042300134200