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1310214401320 = 235115356184151
BaseRepresentation
bin10011000100001110110…
…111010010110100101000
311122020220002112210200011
4103010032313102310220
5132431304341320240
62441523145421304
7163442222441146
oct23041667226450
94566802483604
101310214401320
11465727966080
12191b1819a834
1396725341ba6
14475b3d9c596
1524135a346ea
hex1310edd2d28

1310214401320 has 64 divisors (see below), whose sum is σ = 3276659744640. Its totient is φ = 467452128000.

The previous prime is 1310214401299. The next prime is 1310214401401. The reversal of 1310214401320 is 231044120131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1310214401291 and 1310214401300.

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 15 ways as a sum of consecutive naturals, for example, 28068756 + ... + 28115395.

It is an arithmetic number, because the mean of its divisors is an integer number (51197808510).

Almost surely, 21310214401320 is an apocalyptic number.

1310214401320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310214401320 is an abundant number, since it is smaller than the sum of its proper divisors (1966445343320).

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

1310214401320 is a wasteful number, since it uses less digits than its factorization.

1310214401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56184226 (or 56184222 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1310214401320 its reverse (231044120131), we get a palindrome (1541258521451).

The spelling of 1310214401320 in words is "one trillion, three hundred ten billion, two hundred fourteen million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1060 1166 2120 2332 2915 4664 5830 11660 23320 56184151 112368302 224736604 280920755 449473208 561841510 618025661 1123683020 1236051322 2247366040 2472102644 2977760003 3090128305 4944205288 5955520006 6180256610 11911040012 12360513220 14888800015 23822080024 24721026440 29777600030 32755360033 59555200060 65510720066 119110400120 131021440132 163776800165 262042880264 327553600330 655107200660 1310214401320