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2320141220000 = 2554272942509
BaseRepresentation
bin100001110000110011001…
…100010111100010100000
322012210200122000212101022
4201300303030113202200
5301003122123020000
64533505210225012
7326424155655422
oct41606314274240
98183618025338
102320141220000
11814a6a26184a
123157aa725168
1313aa330b4326
148041c958812
1540543a00585
hex21c333178a0

2320141220000 has 120 divisors (see below), whose sum is σ = 5710121316900. Its totient is φ = 927694592000.

The previous prime is 2320141219969. The next prime is 2320141220009. The reversal of 2320141220000 is 221410232.

It can be written as a sum of positive squares in 10 ways, for example, as 201102021136 + 2119039198864 = 448444^2 + 1455692^2 .

It is not an unprimeable number, because it can be changed into a prime (2320141220009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 54558746 + ... + 54601254.

Almost surely, 22320141220000 is an apocalyptic number.

2320141220000 is a gapful number since it is divisible by the number (20) 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 2320141220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855060658450).

2320141220000 is an abundant number, since it is smaller than the sum of its proper divisors (3389980096900).

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

2320141220000 is an equidigital number, since it uses as much as digits as its factorization.

2320141220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45268 (or 45245 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2320141220000 its reverse (221410232), we get a palindrome (2320362630232).

The spelling of 2320141220000 in words is "two trillion, three hundred twenty billion, one hundred forty-one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 2729 4000 5000 5458 10000 10916 13645 20000 21832 27290 42509 43664 54580 68225 85018 87328 109160 136450 170036 212545 218320 272900 340072 341125 425090 436640 545800 680144 682250 850180 1062725 1091600 1360288 1364500 1700360 1705625 2125450 2183200 2729000 3400720 3411250 4250900 5313625 5458000 6801440 6822500 8501800 10627250 10916000 13645000 17003600 21254500 26568125 27290000 34007200 42509000 53136250 54580000 85018000 106272500 116007061 170036000 212545000 232014122 425090000 464028244 580035305 850180000 928056488 1160070610 1856112976 2320141220 2900176525 3712225952 4640282440 5800353050 9280564880 11600706100 14500882625 18561129760 23201412200 29001765250 46402824400 58003530500 72504413125 92805648800 116007061000 145008826250 232014122000 290017652500 464028244000 580035305000 1160070610000 2320141220000