Search a number
-
+
1123303311100 = 2252195843101183
BaseRepresentation
bin10000010110001010000…
…110000100011011111100
310222101102221100121221001
4100112022012010123330
5121401011121423400
62220012144220044
7144104334414025
oct20261206043374
93871387317831
101123303311100
113a3432486593
1216185400a624
1381c08954359
143c52238bc4c
151e346725a6a
hex1058a1846fc

1123303311100 has 72 divisors (see below), whose sum is σ = 2566325744640. Its totient is φ = 425595775680.

The previous prime is 1123303311083. The next prime is 1123303311107. The reversal of 1123303311100 is 11133033211.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123303311107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11051109 + ... + 11152291.

It is an arithmetic number, because the mean of its divisors is an integer number (35643413120).

Almost surely, 21123303311100 is an apocalyptic number.

1123303311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123303311100 is an abundant number, since it is smaller than the sum of its proper divisors (1443022433540).

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

1123303311100 is a wasteful number, since it uses less digits than its factorization.

1123303311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107059 (or 107052 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1123303311100 its reverse (11133033211), we get a palindrome (1134436344311).

The spelling of 1123303311100 in words is "one trillion, one hundred twenty-three billion, three hundred three million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 5843 11686 23372 29215 58430 101183 111017 116860 146075 202366 222034 292150 404732 444068 505915 555085 584300 1011830 1110170 1922477 2023660 2220340 2529575 2775425 3844954 5059150 5550850 7689908 9612385 10118300 11101700 19224770 38449540 48061925 96123850 192247700 591212269 1182424538 2364849076 2956061345 5912122690 11233033111 11824245380 14780306725 22466066222 29560613450 44932132444 56165165555 59121226900 112330331110 224660662220 280825827775 561651655550 1123303311100