Search a number
-
+
1101020221020 = 223561300825197
BaseRepresentation
bin10000000001011001111…
…010110100111001011100
310220020220222210100212110
4100001121322310321130
5121014342134033040
62201445100234020
7142355210314566
oct20013172647134
93806828710773
101101020221020
11394a38236165
1215947553b910
137ca97275355
143b40ab9a336
151d990328980
hex10059eb4e5c

1101020221020 has 48 divisors (see below), whose sum is σ = 3133395262368. Its totient is φ = 288792188160.

The previous prime is 1101020220917. The next prime is 1101020221033. The reversal of 1101020221020 is 201220201011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1101020220987 and 1101020221005.

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 15 ways as a sum of consecutive naturals, for example, 150408939 + ... + 150416258.

It is an arithmetic number, because the mean of its divisors is an integer number (65279067966).

Almost surely, 21101020221020 is an apocalyptic number.

1101020221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101020221020 is an abundant number, since it is smaller than the sum of its proper divisors (2032375041348).

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

1101020221020 is a wasteful number, since it uses less digits than its factorization.

1101020221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300825270 (or 300825268 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1101020221020 its reverse (201220201011), we get a palindrome (1302240422031).

The spelling of 1101020221020 in words is "one trillion, one hundred one billion, twenty million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 300825197 601650394 902475591 1203300788 1504125985 1804951182 3008251970 3609902364 4512377955 6016503940 9024755910 18049511820 18350337017 36700674034 55051011051 73401348068 91751685085 110102022102 183503370170 220204044204 275255055255 367006740340 550510110510 1101020221020