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1031001213000 = 233531131242461
BaseRepresentation
bin11110000000011000111…
…01100000100001001000
310122120012020200012220010
433000030131200201020
5113342442302304000
62105345130031520
7134326112500143
oct17001435404110
93576166605803
101031001213000
11368277341090
121479942785a0
13762b8c03c65
1437c8783705a
151bc43210d50
hexf00c760848

1031001213000 has 128 divisors (see below), whose sum is σ = 3509153331840. Its totient is φ = 249939680000.

The previous prime is 1031001212993. The next prime is 1031001213001. The reversal of 1031001213000 is 3121001301.

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

It is not an unprimeable number, because it can be changed into a prime (1031001213001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15588231 + ... + 15654230.

It is an arithmetic number, because the mean of its divisors is an integer number (27415260405).

Almost surely, 21031001213000 is an apocalyptic number.

1031001213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031001213000 is an abundant number, since it is smaller than the sum of its proper divisors (2478152118840).

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

1031001213000 is a wasteful number, since it uses less digits than its factorization.

1031001213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31242496 (or 31242482 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1031001213000 its reverse (3121001301), we get a palindrome (1034122214301).

The spelling of 1031001213000 in words is "one trillion, thirty-one billion, one million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 31242461 62484922 93727383 124969844 156212305 187454766 249939688 312424610 343667071 374909532 468636915 624849220 687334142 749819064 781061525 937273830 1031001213 1249698440 1374668284 1562123050 1718335355 1874547660 2062002426 2343184575 2749336568 3124246100 3436670710 3749095320 3905307625 4124004852 4686369150 5155006065 6248492200 6873341420 7810615250 8248009704 8591676775 9372738300 10310012130 11715922875 13746682840 15621230500 17183353550 18745476600 20620024260 23431845750 25775030325 31242461000 34366707100 41240048520 42958383875 46863691500 51550060650 68733414200 85916767750 93727383000 103100121300 128875151625 171833535500 206200242600 257750303250 343667071000 515500606500 1031001213000