Search a number
-
+
1121023606024 = 237297101291901
BaseRepresentation
bin10000010100000010001…
…101101011110100001000
310222011120001200121110201
4100110002031223310020
5121331324020343044
62214554030221544
7143664003300400
oct20240215536410
93864501617421
101121023606024
113a2472667403
121613186548b4
138193456693a
143c3876c3800
151e2615127d4
hex1050236bd08

1121023606024 has 96 divisors (see below), whose sum is σ = 2494763795160. Its totient is φ = 470776320000.

The previous prime is 1121023606007. The next prime is 1121023606049. The reversal of 1121023606024 is 4206063201211.

It can be written as a sum of positive squares in 4 ways, for example, as 1010792965924 + 110230640100 = 1005382^2 + 332010^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1121023605983 and 1121023606001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3694474 + ... + 3986374.

Almost surely, 21121023606024 is an apocalyptic number.

1121023606024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121023606024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247381897580).

1121023606024 is an abundant number, since it is smaller than the sum of its proper divisors (1373740189136).

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

1121023606024 is a wasteful number, since it uses less digits than its factorization.

1121023606024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292119 (or 292108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 1121023606024 its reverse (4206063201211), we get a palindrome (5327086807235).

The spelling of 1121023606024 in words is "one trillion, one hundred twenty-one billion, twenty-three million, six hundred six thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 97 98 101 194 196 202 388 392 404 679 707 776 808 1358 1414 2716 2828 4753 4949 5432 5656 9506 9797 9898 19012 19594 19796 38024 39188 39592 68579 78376 137158 274316 291901 480053 548632 583802 960106 1167604 1920212 2043307 2335208 3840424 4086614 8173228 14303149 16346456 28314397 28606298 29482001 56628794 57212596 58964002 113257588 114425192 117928004 198200779 206374007 226515176 235856008 396401558 412748014 792803116 825496028 1387405453 1444618049 1585606232 1650992056 2774810906 2859754097 2889236098 5549621812 5719508194 5778472196 11099243624 11439016388 11556944392 20018278679 22878032776 40036557358 80073114716 140127950753 160146229432 280255901506 560511803012 1121023606024