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1312311313200 = 243521240988129
BaseRepresentation
bin10011000110001011110…
…110011000001100110000
311122110022020020222000010
4103012023312120030300
5133000103144010300
62442511213454520
7163545204053646
oct23061366301460
94573266228003
101312311313200
11466603584aa8
121924024a1440
139699a8bb254
1447732683196
1524209b8ba50
hex1318bd98330

1312311313200 has 120 divisors (see below), whose sum is σ = 4204157045200. Its totient is φ = 349917511680.

The previous prime is 1312311313199. The next prime is 1312311313213. The reversal of 1312311313200 is 23131132131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 14846736 + ... + 14934864.

Almost surely, 21312311313200 is an apocalyptic number.

1312311313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312311313200 is an abundant number, since it is smaller than the sum of its proper divisors (2891845732000).

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

1312311313200 is a wasteful number, since it uses less digits than its factorization.

1312311313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100559 (or 100548 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1312311313200 its reverse (23131132131), we get a palindrome (1335442445331).

The spelling of 1312311313200 in words is "one trillion, three hundred twelve billion, three hundred eleven million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 12409 24818 37227 49636 62045 74454 88129 99272 124090 148908 176258 186135 198544 248180 264387 297816 310225 352516 372270 440645 496360 528774 595632 620450 705032 744540 881290 930675 992720 1057548 1240900 1321935 1410064 1489080 1762580 1861350 2115096 2203225 2481800 2643870 2978160 3525160 3722700 4230192 4406450 4963600 5287740 6609675 7050320 7445400 8812900 10575480 13219350 14890800 17625800 21150960 26438700 35251600 52877400 105754800 1093592761 2187185522 3280778283 4374371044 5467963805 6561556566 8748742088 10935927610 13123113132 16403891415 17497484176 21871855220 26246226264 27339819025 32807782830 43743710440 52492452528 54679638050 65615565660 82019457075 87487420880 109359276100 131231131320 164038914150 218718552200 262462262640 328077828300 437437104400 656155656600 1312311313200