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1320301010140 = 225797327129723
BaseRepresentation
bin10011001101101000000…
…100101001110011011100
311200012221001021121202121
4103031220010221303130
5133112434024311030
62450312104432324
7164250201263020
oct23155004516334
94605831247677
101320301010140
11469a33555622
12193a721786a4
1397671c64888
1447c8d828380
15245262ee47a
hex13368129cdc

1320301010140 has 96 divisors (see below), whose sum is σ = 3202476125184. Its totient is φ = 447855851520.

The previous prime is 1320301010113. The next prime is 1320301010153. The reversal of 1320301010140 is 410101030231.

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, 44405319 + ... + 44435041.

It is an arithmetic number, because the mean of its divisors is an integer number (33359126304).

Almost surely, 21320301010140 is an apocalyptic number.

1320301010140 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 1320301010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601238062592).

1320301010140 is an abundant number, since it is smaller than the sum of its proper divisors (1882175115044).

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

1320301010140 is a wasteful number, since it uses less digits than its factorization.

1320301010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33107 (or 33105 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1320301010140 its reverse (410101030231), we get a palindrome (1730402040371).

The spelling of 1320301010140 in words is "one trillion, three hundred twenty billion, three hundred one million, ten thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1358 1940 2716 3271 3395 6542 6790 13084 13580 16355 22897 29723 32710 45794 59446 65420 91588 114485 118892 148615 208061 228970 297230 317287 416122 457940 594460 634574 832244 1040305 1269148 1586435 2080610 2221009 2883131 3172870 4161220 4442018 5766262 6345740 8884036 11105045 11532524 14415655 20181917 22210090 28831310 40363834 44420180 57662620 80727668 97223933 100909585 194447866 201819170 388895732 403638340 486119665 680567531 972239330 1361135062 1944478660 2722270124 3402837655 6805675310 9430721501 13611350620 18861443002 37722886004 47153607505 66015050507 94307215010 132030101014 188614430020 264060202028 330075252535 660150505070 1320301010140