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120010001000200 = 23524714867858749
BaseRepresentation
bin11011010010011000000001…
…011110101010011100001000
3120201220211210022102111002021
4123102120001132222130020
5111212220440224001300
61103123500001014224
734164302462243143
oct3322300136523410
9521824708374067
10120010001000200
1135269a56a01733
12115628aa624374
1351c6b823a747c
14218c72d3b305a
15dd1b0765ed1a
hex6d26017aa708

120010001000200 has 96 divisors (see below), whose sum is σ = 284979416400000. Its totient is φ = 46979423786240.

The previous prime is 120010001000171. The next prime is 120010001000203. The reversal of 120010001000200 is 2000100010021.

It is not an unprimeable number, because it can be changed into a prime (120010001000203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139320426 + ... + 140179174.

It is an arithmetic number, because the mean of its divisors is an integer number (2968535587500).

Almost surely, 2120010001000200 is an apocalyptic number.

120010001000200 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 120010001000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142489708200000).

120010001000200 is an abundant number, since it is smaller than the sum of its proper divisors (164969415399800).

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

120010001000200 is a wasteful number, since it uses less digits than its factorization.

120010001000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873679 (or 873670 counting only the distinct ones).

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

Adding to 120010001000200 its reverse (2000100010021), we get a palindrome (122010101010221).

The spelling of 120010001000200 in words is "one hundred twenty trillion, ten billion, one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4700 9400 14867 29734 59468 74335 118936 148670 297340 371675 594680 698749 743350 858749 1397498 1486700 1717498 2794996 2973400 3434996 3493745 4293745 5589992 6869992 6987490 8587490 13974980 17174980 17468725 21468725 27949960 34349960 34937450 40361203 42937450 69874900 80722406 85874900 139749800 161444812 171749800 201806015 322889624 403612030 807224060 1009030075 1614448120 2018060150 4036120300 8072240600 12767021383 25534042766 51068085532 63835106915 102136171064 127670213830 255340427660 319175534575 510680855320 600050005001 638351069150 1200100010002 1276702138300 2400200020004 2553404276600 3000250025005 4800400040008 6000500050010 12001000100020 15001250125025 24002000200040 30002500250050 60005000500100 120010001000200