Search a number
-
+
1101100201020 = 22325171392588753
BaseRepresentation
bin10000000001011110101…
…011111011010000111100
310220021010120021202210200
4100001132223323100330
5121020023122413040
62201501034403500
7142360201165461
oct20013653732074
93807116252720
101101100201020
11394a793a3336
12159498290590
137caaa9c95b1
143b417659668
151d997376630
hex1005eafb43c

1101100201020 has 144 divisors (see below), whose sum is σ = 3561918403680. Its totient is φ = 274366291968.

The previous prime is 1101100201007. The next prime is 1101100201027. The reversal of 1101100201020 is 201020011011.

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 = 1101100200993 and 1101100201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101100201027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869037 + ... + 1719716.

It is an arithmetic number, because the mean of its divisors is an integer number (24735544470).

Almost surely, 21101100201020 is an apocalyptic number.

1101100201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101100201020 is an abundant number, since it is smaller than the sum of its proper divisors (2460818202660).

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

1101100201020 is a wasteful number, since it uses less digits than its factorization.

1101100201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588924 (or 2588919 counting only the distinct ones).

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

Adding to 1101100201020 its reverse (201020011011), we get a palindrome (1302120212031).

The spelling of 1101100201020 in words is "one trillion, one hundred one billion, one hundred million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 139 153 170 180 204 255 278 306 340 417 510 556 612 695 765 834 1020 1251 1390 1530 1668 2085 2363 2502 2780 3060 4170 4726 5004 6255 7089 8340 9452 11815 12510 14178 21267 23630 25020 28356 35445 42534 47260 70890 85068 106335 141780 212670 425340 2588753 5177506 7766259 10355012 12943765 15532518 23298777 25887530 31065036 38831295 44008801 46597554 51775060 77662590 88017602 93195108 116493885 132026403 155325180 176035204 220044005 232987770 264052806 359836667 396079209 440088010 465975540 528105612 660132015 719673334 792158418 880176020 1079510001 1320264030 1439346668 1584316836 1799183335 1980396045 2159020002 2640528060 3238530003 3598366670 3960792090 4318040004 5397550005 6117223339 6477060006 7196733340 7921584180 10795100010 12234446678 12954120012 16192650015 18351670017 21590200020 24468893356 30586116695 32385300030 36703340034 55055010051 61172233390 64770600060 73406680068 91758350085 110110020102 122344466780 183516700170 220220040204 275275050255 367033400340 550550100510 1101100201020