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1123413224000 = 2653613229081
BaseRepresentation
bin10000010110010000101…
…001010110101001000000
310222101201121011210002012
4100112100221112221000
5121401222241132000
62220031112112052
7144110140563554
oct20262051265100
93871647153065
101123413224000
113a34895287a1
12161884995628
1381c25658b82
143c532bdd864
151e3511d7735
hex10590a56a40

1123413224000 has 112 divisors (see below), whose sum is σ = 2786683566576. Its totient is φ = 448630272000.

The previous prime is 1123413223981. The next prime is 1123413224009. The reversal of 1123413224000 is 4223143211.

It can be written as a sum of positive squares in 8 ways, for example, as 998272746496 + 125140477504 = 999136^2 + 353752^2 .

It is not an unprimeable number, because it can be changed into a prime (1123413224009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4789460 + ... + 5018540.

It is an arithmetic number, because the mean of its divisors is an integer number (24881103273).

Almost surely, 21123413224000 is an apocalyptic number.

1123413224000 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 1123413224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393341783288).

1123413224000 is an abundant number, since it is smaller than the sum of its proper divisors (1663270342576).

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

1123413224000 is an equidigital number, since it uses as much as digits as its factorization.

1123413224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229721 (or 229701 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1123413224000 its reverse (4223143211), we get a palindrome (1127636367211).

The spelling of 1123413224000 in words is "one trillion, one hundred twenty-three billion, four hundred thirteen million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 613 800 1000 1226 1600 2000 2452 3065 4000 4904 6130 8000 9808 12260 15325 19616 24520 30650 39232 49040 61300 76625 98080 122600 153250 196160 229081 245200 306500 458162 490400 613000 916324 980800 1145405 1226000 1832648 2290810 2452000 3665296 4581620 4904000 5727025 7330592 9163240 11454050 14661184 18326480 22908100 28635125 36652960 45816200 57270250 73305920 91632400 114540500 140426653 183264800 229081000 280853306 366529600 458162000 561706612 702133265 916324000 1123413224 1404266530 1832648000 2246826448 2808533060 3510666325 4493652896 5617066120 7021332650 8987305792 11234132240 14042665300 17553331625 22468264480 28085330600 35106663250 44936528960 56170661200 70213326500 112341322400 140426653000 224682644800 280853306000 561706612000 1123413224000