Search a number
-
+
1100011201020 = 2232537971702751
BaseRepresentation
bin10000000000011101110…
…001101110000111111100
310220011022200010211122100
4100000131301232013330
5121010310331413040
62201201013345100
7142321205635404
oct20003561560774
93804280124570
101100011201020
1139456a711536
12159233638190
137c9661ca6b4
143b352b81804
151d931964b30
hex1001dc6e1fc

1100011201020 has 144 divisors (see below), whose sum is σ = 3462212452608. Its totient is φ = 282465792000.

The previous prime is 1100011201019. The next prime is 1100011201061. The reversal of 1100011201020 is 201021100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100011200993 and 1100011201011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205356 + ... + 1497395.

It is an arithmetic number, because the mean of its divisors is an integer number (24043142032).

Almost surely, 21100011201020 is an apocalyptic number.

1100011201020 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 1100011201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731106226304).

1100011201020 is an abundant number, since it is smaller than the sum of its proper divisors (2362201251588).

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

1100011201020 is a wasteful number, since it uses less digits than its factorization.

1100011201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702900 (or 1702895 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100011201020 its reverse (201021100011), we get a palindrome (1301032301031).

It can be divided in two parts, 1100011 and 201020, that added together give a palindrome (1301031).

The spelling of 1100011201020 in words is "one trillion, one hundred billion, eleven million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 97 111 148 180 185 194 222 291 333 370 388 444 485 555 582 666 740 873 970 1110 1164 1332 1455 1665 1746 1940 2220 2910 3330 3492 3589 4365 5820 6660 7178 8730 10767 14356 17460 17945 21534 32301 35890 43068 53835 64602 71780 107670 129204 161505 215340 323010 646020 1702751 3405502 5108253 6811004 8513755 10216506 15324759 17027510 20433012 25541265 30649518 34055020 51082530 61299036 63001787 76623795 102165060 126003574 153247590 165166847 189005361 252007148 306495180 315008935 330333694 378010722 495500541 567016083 630017870 660667388 756021444 825834235 945026805 991001082 1134032166 1260035740 1486501623 1651668470 1890053610 1982002164 2268064332 2477502705 2835080415 2973003246 3303336940 3780107220 4955005410 5670160830 5946006492 6111173339 7432508115 9910010820 11340321660 12222346678 14865016230 18333520017 24444693356 29730032460 30555866695 36667040034 55000560051 61111733390 73334080068 91667600085 110001120102 122223466780 183335200170 220002240204 275002800255 366670400340 550005600510 1100011201020