Search a number
-
+
1032244130000 = 2454372789849
BaseRepresentation
bin11110000010101101000…
…10110111000011010000
310122200101212102221111002
433001112202313003100
5113403013444130000
62110112330041132
7134401654222646
oct17012642670320
93580355387432
101032244130000
113688549a0016
121480805791a8
13764565738c5
1437d64939196
151bcb73c78d5
hexf0568b70d0

1032244130000 has 100 divisors (see below), whose sum is σ = 2566712217300. Its totient is φ = 401738112000.

The previous prime is 1032244129993. The next prime is 1032244130003. The reversal of 1032244130000 is 314422301.

It can be written as a sum of positive squares in 10 ways, for example, as 837166441024 + 195077688976 = 914968^2 + 441676^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032244130003) 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, 1024925 + ... + 1764924.

It is an arithmetic number, because the mean of its divisors is an integer number (25667122173).

Almost surely, 21032244130000 is an apocalyptic number.

1032244130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032244130000 is an abundant number, since it is smaller than the sum of its proper divisors (1534468087300).

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

1032244130000 is an equidigital number, since it uses as much as digits as its factorization.

1032244130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789914 (or 2789893 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1032244130000 its reverse (314422301), we get a palindrome (1032558552301).

The spelling of 1032244130000 in words is "one trillion, thirty-two billion, two hundred forty-four million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 625 740 925 1000 1250 1480 1850 2000 2500 2960 3700 4625 5000 7400 9250 10000 14800 18500 23125 37000 46250 74000 92500 185000 370000 2789849 5579698 11159396 13949245 22318792 27898490 44637584 55796980 69746225 103224413 111593960 139492450 206448826 223187920 278984900 348731125 412897652 516122065 557969800 697462250 825795304 1032244130 1115939600 1394924500 1651590608 1743655625 2064488260 2580610325 2789849000 3487311250 4128976520 5161220650 5579698000 6974622500 8257953040 10322441300 12903051625 13949245000 20644882600 25806103250 27898490000 41289765200 51612206500 64515258125 103224413000 129030516250 206448826000 258061032500 516122065000 1032244130000