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1200140003100 = 2235237337320833
BaseRepresentation
bin10001011101101101111…
…010110010011100011100
311020201202211011000010110
4101131231322302130130
5124130341320044400
62315200421210020
7152464405465233
oct21355572623434
94221684130113
101200140003100
11422a81820535
12174718560910
13892325c658c
1442130d6db1a
1521342142e50
hex1176deb271c

1200140003100 has 144 divisors (see below), whose sum is σ = 3576847365728. Its totient is φ = 310462709760.

The previous prime is 1200140003093. The next prime is 1200140003129. The reversal of 1200140003100 is 13000410021.

It is a happy number.

It is a super-2 number, since 2×12001400031002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3580284 + ... + 3901116.

Almost surely, 21200140003100 is an apocalyptic number.

1200140003100 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 1200140003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788423682864).

1200140003100 is an abundant number, since it is smaller than the sum of its proper divisors (2376707362628).

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

1200140003100 is a wasteful number, since it uses less digits than its factorization.

1200140003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321224 (or 321217 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1200140003100 its reverse (13000410021), we get a palindrome (1213140413121).

The spelling of 1200140003100 in words is "one trillion, two hundred billion, one hundred forty million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 337 370 444 555 674 740 925 1011 1110 1348 1685 1850 2022 2220 2775 3370 3700 4044 5055 5550 6740 8425 10110 11100 12469 16850 20220 24938 25275 33700 37407 49876 50550 62345 74814 101100 124690 149628 187035 249380 311725 320833 374070 623450 641666 748140 935175 962499 1246900 1283332 1604165 1870350 1924998 3208330 3740700 3849996 4812495 6416660 8020825 9624990 11870821 16041650 19249980 23741642 24062475 32083300 35612463 47483284 48124950 59354105 71224926 96249900 108120721 118708210 142449852 178062315 216241442 237416420 296770525 324362163 356124630 432482884 540603605 593541050 648724326 712249260 890311575 1081207210 1187082100 1297448652 1621810815 1780623150 2162414420 2703018025 3243621630 3561246300 4000466677 5406036050 6487243260 8000933354 8109054075 10812072100 12001400031 16001866708 16218108150 20002333385 24002800062 32436216300 40004666770 48005600124 60007000155 80009333540 100011666925 120014000310 200023333850 240028000620 300035000775 400046667700 600070001550 1200140003100