Search a number
-
+
1101023113000 = 23535320774021
BaseRepresentation
bin10000000001011010000…
…101110110111100101000
310220020221012020021220211
4100001122011312330220
5121014343404104000
62201445242230504
7142355244021166
oct20013205667450
93806835207824
101101023113000
11394a39930a28
121594764b5434
137ca97a48795
143b40b310236
151d9906ea7ba
hex1005a176f28

1101023113000 has 64 divisors (see below), whose sum is σ = 2625005419920. Its totient is φ = 432099616000.

The previous prime is 1101023112979. The next prime is 1101023113033. The reversal of 1101023113000 is 3113201011.

It can be written as a sum of positive squares in 8 ways, for example, as 32789242084 + 1068233870916 = 181078^2 + 1033554^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10334011 + ... + 10440010.

Almost surely, 21101023113000 is an apocalyptic number.

1101023113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101023113000 is an abundant number, since it is smaller than the sum of its proper divisors (1523982306920).

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

1101023113000 is a wasteful number, since it uses less digits than its factorization.

1101023113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20774095 (or 20774081 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1101023113000 its reverse (3113201011), we get a palindrome (1104136314011).

The spelling of 1101023113000 in words is "one trillion, one hundred one billion, twenty-three million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 5300 6625 10600 13250 26500 53000 20774021 41548042 83096084 103870105 166192168 207740210 415480420 519350525 830960840 1038701050 1101023113 2077402100 2202046226 2596752625 4154804200 4404092452 5193505250 5505115565 8808184904 10387010500 11010231130 20774021000 22020462260 27525577825 44040924520 55051155650 110102311300 137627889125 220204622600 275255778250 550511556500 1101023113000