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10130202000 = 243253562789
BaseRepresentation
bin10010110111100111…
…01001110110010000
3222010222202120200200
421123303221312100
5131221312431000
64353113215200
7506015203422
oct113363516620
928128676620
1010130202000
114329264776
121b68701500
13c55976b89
146c1576812
153e452b500
hex25bce9d90

10130202000 has 120 divisors (see below), whose sum is σ = 35381481720. Its totient is φ = 2701382400.

The previous prime is 10130201993. The next prime is 10130202031. The reversal of 10130202000 is 20203101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 248251536 + 9881950464 = 15756^2 + 99408^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 263395 + ... + 299394.

It is an arithmetic number, because the mean of its divisors is an integer number (294845681).

Almost surely, 210130202000 is an apocalyptic number.

10130202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130202000 is an abundant number, since it is smaller than the sum of its proper divisors (25251279720).

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

10130202000 is a wasteful number, since it uses less digits than its factorization.

10130202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562818 (or 562799 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10130202000 its reverse (20203101), we get a palindrome (10150405101).

The spelling of 10130202000 in words is "ten billion, one hundred thirty million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 562789 1125578 1688367 2251156 2813945 3376734 4502312 5065101 5627890 6753468 8441835 9004624 10130202 11255780 13506936 14069725 16883670 20260404 22511560 25325505 27013872 28139450 33767340 40520808 42209175 45023120 50651010 56278900 67534680 70348625 81041616 84418350 101302020 112557800 126627525 135069360 140697250 168836700 202604040 211045875 225115600 253255050 281394500 337673400 405208080 422091750 506510100 562789000 633137625 675346800 844183500 1013020200 1125578000 1266275250 1688367000 2026040400 2532550500 3376734000 5065101000 10130202000