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2240120101300 = 2252157601237409
BaseRepresentation
bin100000100110010001100…
…100000001100110110100
321221011010211011211222021
4200212101210001212310
5243200231221220200
64433032540042524
7320562156455314
oct40462144014664
97834124154867
102240120101300
117940364409a4
12302197833444
1313331c796b53
147a5cb083444
153d40d75e41a
hex209919019b4

2240120101300 has 72 divisors (see below), whose sum is σ = 4900183234520. Its totient is φ = 888855552000.

The previous prime is 2240120101253. The next prime is 2240120101333. The reversal of 2240120101300 is 31010210422.

It can be written as a sum of positive squares in 12 ways, for example, as 699334132644 + 1540785968656 = 836262^2 + 1241284^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9316996 + ... + 9554404.

Almost surely, 22240120101300 is an apocalyptic number.

2240120101300 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 2240120101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450091617260).

2240120101300 is an abundant number, since it is smaller than the sum of its proper divisors (2660063133220).

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

2240120101300 is a wasteful number, since it uses less digits than its factorization.

2240120101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238181 (or 238174 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2240120101300 its reverse (31010210422), we get a palindrome (2271130311722).

The spelling of 2240120101300 in words is "two trillion, two hundred forty billion, one hundred twenty million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 601 628 785 1202 1570 2404 3005 3140 3925 6010 7850 12020 15025 15700 30050 60100 94357 188714 237409 377428 471785 474818 943570 949636 1187045 1887140 2358925 2374090 4717850 4748180 5935225 9435700 11870450 23740900 37273213 74546426 142682809 149092852 186366065 285365618 372732130 570731236 713414045 745464260 931830325 1426828090 1863660650 2853656180 3567070225 3727321300 7134140450 14268280900 22401201013 44802402026 89604804052 112006005065 224012010130 448024020260 560030025325 1120060050650 2240120101300