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1214112110320 = 245472039158363
BaseRepresentation
bin10001101010101110101…
…110001001011011110000
311022001211120010121000001
4101222232232021123300
5124343000200012240
62325431100035344
7153500554442554
oct21525656113360
94261746117001
101214112110320
114289a16a848a
12177377832b54
138a64b1ba645
1442a98865864
15218adab689a
hex11aaeb896f0

1214112110320 has 80 divisors (see below), whose sum is σ = 2884302535680. Its totient is φ = 475075864832.

The previous prime is 1214112110287. The next prime is 1214112110363. The reversal of 1214112110320 is 230112114121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7587459 + ... + 7745821.

It is an arithmetic number, because the mean of its divisors is an integer number (36053781696).

Almost surely, 21214112110320 is an apocalyptic number.

1214112110320 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 1214112110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442151267840).

1214112110320 is an abundant number, since it is smaller than the sum of its proper divisors (1670190425360).

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

1214112110320 is a wasteful number, since it uses less digits than its factorization.

1214112110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160462 (or 160456 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1214112110320 its reverse (230112114121), we get a palindrome (1444224224441).

The spelling of 1214112110320 in words is "one trillion, two hundred fourteen billion, one hundred twelve million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 2039 3760 4078 8156 10195 16312 20390 32624 40780 81560 95833 158363 163120 191666 316726 383332 479165 633452 766664 791815 958330 1266904 1533328 1583630 1916660 2533808 3167260 3833320 6334520 7443061 7666640 12669040 14886122 29772244 37215305 59544488 74430610 119088976 148861220 297722440 322902157 595444880 645804314 1291608628 1614510785 2583217256 3229021570 5166434512 6458043140 12916086280 15176401379 25832172560 30352802758 60705605516 75882006895 121411211032 151764013790 242822422064 303528027580 607056055160 1214112110320