Search a number
-
+
1120332520000 = 2654109256957
BaseRepresentation
bin10000010011011001000…
…001011001101001000000
310222002202220021210200001
4100103121001121221000
5121323420111120000
62214401302005344
7143640612203341
oct20233101315100
93862686253601
101120332520000
113a2148556231
12161165116854
13818543289b5
143c31d9ca0c8
151e220a0146a
hex104d9059a40

1120332520000 has 140 divisors (see below), whose sum is σ = 2803558246060. Its totient is φ = 444019968000.

The previous prime is 1120332519991. The next prime is 1120332520007. The reversal of 1120332520000 is 252330211.

It can be written as a sum of positive squares in 10 ways, for example, as 606105846784 + 514226673216 = 778528^2 + 717096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1120332520000.

It is not an unprimeable number, because it can be changed into a prime (1120332520007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4231522 + ... + 4488478.

Almost surely, 21120332520000 is an apocalyptic number.

1120332520000 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 1120332520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401779123030).

1120332520000 is an abundant number, since it is smaller than the sum of its proper divisors (1683225726060).

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

1120332520000 is an equidigital number, since it uses as much as digits as its factorization.

1120332520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257098 (or 257073 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 1120332520000 its reverse (252330211), we get a palindrome (1120584850211).

The spelling of 1120332520000 in words is "one trillion, one hundred twenty billion, three hundred thirty-two million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 125 160 200 218 250 320 400 436 500 545 625 800 872 1000 1090 1250 1600 1744 2000 2180 2500 2725 3488 4000 4360 5000 5450 6976 8000 8720 10000 10900 13625 17440 20000 21800 27250 34880 40000 43600 54500 68125 87200 109000 136250 174400 218000 256957 272500 436000 513914 545000 872000 1027828 1090000 1284785 2055656 2180000 2569570 4111312 4360000 5139140 6423925 8222624 10278280 12847850 16445248 20556560 25695700 28008313 32119625 41113120 51391400 56016626 64239250 82226240 102782800 112033252 128478500 140041565 160598125 205565600 224066504 256957000 280083130 321196250 411131200 448133008 513914000 560166260 642392500 700207825 896266016 1027828000 1120332520 1284785000 1400415650 1792532032 2055656000 2240665040 2569570000 2800831300 3501039125 4481330080 5139140000 5601662600 7002078250 8962660160 10278280000 11203325200 14004156500 17505195625 22406650400 28008313000 35010391250 44813300800 56016626000 70020782500 112033252000 140041565000 224066504000 280083130000 560166260000 1120332520000