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1031030020200 = 233522118143997
BaseRepresentation
bin11110000000011100010…
…11011001100001101000
310122120021020212202221110
433000032023121201220
5113343022141121300
62105352035310320
7134326612400145
oct17001613314150
93576236782843
101031030020200
11368291627394
121479a1a4b3a0
13762c1b7c03b
1437c8b5b53cc
151bc45a01550
hexf00e2d9868

1031030020200 has 96 divisors (see below), whose sum is σ = 3211341291360. Its totient is φ = 273638265600.

The previous prime is 1031030020187. The next prime is 1031030020217. The reversal of 1031030020200 is 20200301301.

It is a happy number.

It is a super-3 number, since 3×10310300202003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3945399 + ... + 4198598.

It is an arithmetic number, because the mean of its divisors is an integer number (33451471785).

Almost surely, 21031030020200 is an apocalyptic number.

1031030020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031030020200 is an abundant number, since it is smaller than the sum of its proper divisors (2180311271160).

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

1031030020200 is a wasteful number, since it uses less digits than its factorization.

1031030020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8144227 (or 8144218 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1031030020200 its reverse (20200301301), we get a palindrome (1051230321501).

The spelling of 1031030020200 in words is "one trillion, thirty-one billion, thirty million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 211 300 422 600 633 844 1055 1266 1688 2110 2532 3165 4220 5064 5275 6330 8440 10550 12660 15825 21100 25320 31650 42200 63300 126600 8143997 16287994 24431991 32575988 40719985 48863982 65151976 81439970 97727964 122159955 162879940 195455928 203599925 244319910 325759880 407199850 488639820 610799775 814399700 977279640 1221599550 1628799400 1718383367 2443199100 3436766734 4886398200 5155150101 6873533468 8591916835 10310300202 13747066936 17183833670 20620600404 25775750505 34367667340 41241200808 42959584175 51551501010 68735334680 85919168350 103103002020 128878752525 171838336700 206206004040 257757505050 343676673400 515515010100 1031030020200