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1312300022000 = 245311287920719
BaseRepresentation
bin10011000110001011001…
…011010011100011110000
311122110021110000022101112
4103012023023103203300
5133000042301201000
62442510131452452
7163545006066002
oct23061313234360
94573243008345
101312300022000
114665a8172830
121923ba757128
1396998466a76
1447730d84372
1524208bab235
hex1318b2d38f0

1312300022000 has 160 divisors (see below), whose sum is σ = 3462978355200. Its totient is φ = 477011232000.

The previous prime is 1312300021973. The next prime is 1312300022017. The reversal of 1312300022000 is 2200032131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63327641 + ... + 63348359.

It is an arithmetic number, because the mean of its divisors is an integer number (21643614720).

Almost surely, 21312300022000 is an apocalyptic number.

1312300022000 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 1312300022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731489177600).

1312300022000 is an abundant number, since it is smaller than the sum of its proper divisors (2150678333200).

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

1312300022000 is a wasteful number, since it uses less digits than its factorization.

1312300022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23632 (or 23616 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1312300022000 its reverse (2200032131), we get a palindrome (1314500054131).

The spelling of 1312300022000 in words is "one trillion, three hundred twelve billion, three hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 2879 4400 5500 5758 11000 11516 14395 20719 22000 23032 28790 31669 41438 46064 57580 63338 71975 82876 103595 115160 126676 143950 158345 165752 207190 227909 230320 253352 287900 316690 331504 359875 414380 455818 506704 517975 575800 633380 719750 791725 828760 911636 1035950 1139545 1151600 1266760 1439500 1583450 1657520 1823272 2071900 2279090 2533520 2589875 2879000 3166900 3646544 3958625 4143800 4558180 5179750 5697725 5758000 6333800 7917250 8287600 9116360 10359500 11395450 12667600 15834500 18232720 20719000 22790900 28488625 31669000 41438000 45581800 56977250 59650001 63338000 91163600 113954500 119300002 227909000 238600004 298250005 455818000 477200008 596500010 656150011 954400016 1193000020 1312300022 1491250025 2386000040 2624600044 2982500050 3280750055 4772000080 5249200088 5965000100 6561500110 7456250125 10498400176 11930000200 13123000220 14912500250 16403750275 23860000400 26246000440 29825000500 32807500550 52492000880 59650001000 65615001100 82018751375 119300002000 131230002200 164037502750 262460004400 328075005500 656150011000 1312300022000