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1222031010320 = 245167601115217
BaseRepresentation
bin10001110010000110101…
…110010110101000010000
311022211021102221101121122
4101302012232112220100
5130010204414312240
62333220541341412
7154201032125561
oct21620656265020
94284242841548
101222031010320
1143129571323a
12178a07867868
138b3109a67a3
144320a45c168
1521bc3de24b5
hex11c86b96a10

1222031010320 has 80 divisors (see below), whose sum is σ = 2858898768768. Its totient is φ = 485772625920.

The previous prime is 1222031010313. The next prime is 1222031010379. The reversal of 1222031010320 is 230101302221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80299352 + ... + 80314568.

Almost surely, 21222031010320 is an apocalyptic number.

1222031010320 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 1222031010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429449384384).

1222031010320 is an abundant number, since it is smaller than the sum of its proper divisors (1636867758448).

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

1222031010320 is a wasteful number, since it uses less digits than its factorization.

1222031010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21408 (or 21402 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1222031010320 its reverse (230101302221), we get a palindrome (1452132312541).

The spelling of 1222031010320 in words is "one trillion, two hundred twenty-two billion, thirty-one million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6011 6680 12022 13360 15217 24044 30055 30434 48088 60110 60868 76085 96176 120220 121736 152170 240440 243472 304340 480880 608680 1003837 1217360 2007674 2541239 4015348 5019185 5082478 8030696 10038370 10164956 12706195 16061392 20076740 20329912 25412390 40153480 40659824 50824780 80306960 91469387 101649560 182938774 203299120 365877548 457346935 731755096 914693870 1463510192 1829387740 3658775480 7317550960 15275387629 30550775258 61101550516 76376938145 122203101032 152753876290 244406202064 305507752580 611015505160 1222031010320