Search a number
-
+
1102120001200 = 245289163189929
BaseRepresentation
bin10000000010011011011…
…110001001111010110000
310220100202122012222122201
4100002123132021322300
5121024120210014300
62202150144312544
7142424363304031
oct20023336117260
93810678188581
101102120001200
113954520102a9
12159721912754
137cc11079c5a
143b4b2c7ca88
151da06b6966a
hex1009b789eb0

1102120001200 has 120 divisors (see below), whose sum is σ = 2694035494800. Its totient is φ = 433218170880.

The previous prime is 1102120001179. The next prime is 1102120001201. The reversal of 1102120001200 is 21000212011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1102120001201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5707836 + ... + 5897764.

It is an arithmetic number, because the mean of its divisors is an integer number (22450295790).

Almost surely, 21102120001200 is an apocalyptic number.

1102120001200 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 1102120001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347017747400).

1102120001200 is an abundant number, since it is smaller than the sum of its proper divisors (1591915493600).

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

1102120001200 is a wasteful number, since it uses less digits than its factorization.

1102120001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190199 (or 190188 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1102120001200 its reverse (21000212011), we get a palindrome (1123120213211).

The spelling of 1102120001200 in words is "one trillion, one hundred two billion, one hundred twenty million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 163 178 200 326 356 400 445 652 712 815 890 1304 1424 1630 1780 2225 2608 3260 3560 4075 4450 6520 7120 8150 8900 13040 14507 16300 17800 29014 32600 35600 58028 65200 72535 116056 145070 189929 232112 290140 362675 379858 580280 725350 759716 949645 1160560 1450700 1519432 1899290 2901400 3038864 3798580 4748225 5802800 7597160 9496450 15194320 16903681 18992900 30958427 33807362 37985800 61916854 67614724 75971600 84518405 123833708 135229448 154792135 169036810 247667416 270458896 309584270 338073620 422592025 495334832 619168540 676147240 773960675 845184050 1238337080 1352294480 1547921350 1690368100 2476674160 2755300003 3095842700 3380736200 5510600006 6191685400 6761472400 11021200012 12383370800 13776500015 22042400024 27553000030 44084800048 55106000060 68882500075 110212000120 137765000150 220424000240 275530000300 551060000600 1102120001200