Search a number
-
+
1201131344000 = 2753710724387
BaseRepresentation
bin10001011110101001000…
…000011101000010000000
311020211022220112100012002
4101132221000131002000
5124134404111002000
62315443033123132
7152531103653030
oct21365100350200
94224286470162
101201131344000
1142344036a635
121749545594a8
138935cac1323
14421c68a58c0
152139e1b38d5
hex117a901d080

1201131344000 has 128 divisors (see below), whose sum is σ = 3412929237120. Its totient is φ = 411816422400.

The previous prime is 1201131343957. The next prime is 1201131344027. The reversal of 1201131344000 is 4431311021.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5250194 + ... + 5474193.

It is an arithmetic number, because the mean of its divisors is an integer number (26663509665).

Almost surely, 21201131344000 is an apocalyptic number.

1201131344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201131344000 is an abundant number, since it is smaller than the sum of its proper divisors (2211797893120).

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

1201131344000 is an equidigital number, since it uses as much as digits as its factorization.

1201131344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10724423 (or 10724401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1201131344000 its reverse (4431311021), we get a palindrome (1205562655021).

The spelling of 1201131344000 in words is "one trillion, two hundred one billion, one hundred thirty-one million, three hundred forty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 56000 112000 10724387 21448774 42897548 53621935 75070709 85795096 107243870 150141418 171590192 214487740 268109675 300282836 343180384 375353545 428975480 536219350 600565672 686360768 750707090 857950960 1072438700 1201131344 1340548375 1372721536 1501414180 1715901920 1876767725 2144877400 2402262688 2681096750 3002828360 3431803840 3753535450 4289754800 4804525376 5362193500 6005656720 6863607680 7507070900 8579509600 9383838625 9609050752 10724387000 12011313440 15014141800 17159019200 18767677250 21448774000 24022626880 30028283600 34318038400 37535354500 42897548000 48045253760 60056567200 75070709000 85795096000 120113134400 150141418000 171590192000 240226268800 300282836000 600565672000 1201131344000