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101201000200 = 23527110516781
BaseRepresentation
bin101111001000000001…
…1001011011100001000
3100200012212112110210121
41132100003023130020
53124224424001300
6114254024353024
710211566210546
oct1362003133410
9320185473717
10101201000200
1139a12365353
1217744015774
13970a594251
144c80770d96
1529748c181a
hex17900cb708

101201000200 has 96 divisors (see below), whose sum is σ = 238868550720. Its totient is φ = 39866400000.

The previous prime is 101201000191. The next prime is 101201000233. The reversal of 101201000200 is 2000102101.

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, 14920810 + ... + 14927590.

It is an arithmetic number, because the mean of its divisors is an integer number (2488214070).

Almost surely, 2101201000200 is an apocalyptic number.

101201000200 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 101201000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119434275360).

101201000200 is an abundant number, since it is smaller than the sum of its proper divisors (137667550520).

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

101201000200 is a wasteful number, since it uses less digits than its factorization.

101201000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7919 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101201000200 its reverse (2000102101), we get a palindrome (103201102301).

The spelling of 101201000200 in words is "one hundred one billion, two hundred one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1051 1420 1775 2102 2840 3550 4204 5255 6781 7100 8408 10510 13562 14200 21020 26275 27124 33905 42040 52550 54248 67810 74621 105100 135620 149242 169525 210200 271240 298484 339050 373105 481451 596968 678100 746210 962902 1356200 1492420 1865525 1925804 2407255 2984840 3731050 3851608 4814510 7126831 7462100 9629020 12036275 14253662 14924200 19258040 24072550 28507324 35634155 48145100 57014648 71268310 96290200 142536620 178170775 285073240 356341550 506005001 712683100 1012010002 1425366200 2024020004 2530025005 4048040008 5060050010 10120100020 12650125025 20240200040 25300250050 50600500100 101201000200