Search a number
-
+
1101220192 = 25315571993
BaseRepresentation
bin100000110100011…
…0100100101100000
32211202010210010001
41001220310211200
54223403021232
6301134545344
736201134332
oct10150644540
92752123101
101101220192
11515679036
12268968254
131471ba1a7
14a6379452
1566a276e7
hex41a34960

1101220192 has 48 divisors (see below), whose sum is σ = 2243106432. Its totient is φ = 531624960.

The previous prime is 1101220171. The next prime is 1101220193. The reversal of 1101220192 is 2910221011.

It is a happy number.

It is a super-3 number, since 3×11012201923 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101220193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551548 + ... + 553540.

It is an arithmetic number, because the mean of its divisors is an integer number (46731384).

Almost surely, 21101220192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101220192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121553216).

1101220192 is an abundant number, since it is smaller than the sum of its proper divisors (1141886240).

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

1101220192 is a wasteful number, since it uses less digits than its factorization.

1101220192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 1101220192 is about 33184.6378916510. The cubic root of 1101220192 is about 1032.6616653016.

The spelling of 1101220192 in words is "one billion, one hundred one million, two hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 557 992 1114 1993 2228 3986 4456 7972 8912 15944 17267 17824 31888 34534 61783 63776 69068 123566 138136 247132 276272 494264 552544 988528 1110101 1977056 2220202 4440404 8880808 17761616 34413131 35523232 68826262 137652524 275305048 550610096 1101220192