Search a number
-
+
1100444131124 = 221333762796401
BaseRepresentation
bin10000000000110111100…
…101001101111100110100
310220012102211202222002122
4100000313211031330310
5121012202144143444
62201312000455112
7142335013531322
oct20006745157464
93805384688078
101100444131124
11394772029308
1215933461a498
137ca04acb860
143b394478d12
151d9599804ee
hex1003794df34

1100444131124 has 24 divisors (see below), whose sum is σ = 2080068019848. Its totient is φ = 506390169600.

The previous prime is 1100444131091. The next prime is 1100444131139. The reversal of 1100444131124 is 4211314440011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1170724 + 1100442960400 = 1082^2 + 1049020^2 .

It is a super-3 number, since 3×11004441311243 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1100444131093 and 1100444131102.

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 7 ways as a sum of consecutive naturals, for example, 31380677 + ... + 31415724.

It is an arithmetic number, because the mean of its divisors is an integer number (86669500827).

Almost surely, 21100444131124 is an apocalyptic number.

It is an amenable number.

1100444131124 is a deficient number, since it is larger than the sum of its proper divisors (979623888724).

1100444131124 is a wasteful number, since it uses less digits than its factorization.

1100444131124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62796755 (or 62796753 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 1100444131124 its reverse (4211314440011), we get a palindrome (5311758571135).

The spelling of 1100444131124 in words is "one trillion, one hundred billion, four hundred forty-four million, one hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 13 26 52 337 674 1348 4381 8762 17524 62796401 125592802 251185604 816353213 1632706426 3265412852 21162387137 42324774274 84649548548 275111032781 550222065562 1100444131124