Search a number
-
+
11245541020 = 2257194878681
BaseRepresentation
bin10100111100100100…
…10101011010011100
31002000201110200012021
422132102111122130
5141012324303040
65055514545524
7545450343610
oct123622253234
932021420167
1011245541020
1148508a645a
12221a1382a4
1310a2a685ac
14789749340
1545c3e224a
hex29e49569c

11245541020 has 96 divisors (see below), whose sum is σ = 28471403520. Its totient is φ = 3644766720.

The previous prime is 11245540979. The next prime is 11245541029. The reversal of 11245541020 is 2014554211.

11245541020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11245541029) 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 31 ways as a sum of consecutive naturals, for example, 1291080 + ... + 1299760.

It is an arithmetic number, because the mean of its divisors is an integer number (296577120).

Almost surely, 211245541020 is an apocalyptic number.

11245541020 is a gapful number since it is divisible by the number (10) 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 11245541020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14235701760).

11245541020 is an abundant number, since it is smaller than the sum of its proper divisors (17225862500).

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

11245541020 is a wasteful number, since it uses less digits than its factorization.

11245541020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203 (or 9201 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 11245541020 in words is "eleven billion, two hundred forty-five million, five hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 487 532 665 974 1330 1948 2435 2660 3409 4870 6818 8681 9253 9740 13636 17045 17362 18506 34090 34724 37012 43405 46265 60767 64771 68180 86810 92530 121534 129542 164939 173620 185060 243068 259084 303835 323855 329878 607670 647710 659756 824695 1154573 1215340 1295420 1649390 2309146 3298780 4227647 4618292 5772865 8455294 11545730 16910588 21138235 23091460 29593529 42276470 59187058 80325293 84552940 118374116 147967645 160650586 295935290 321301172 401626465 562277051 591870580 803252930 1124554102 1606505860 2249108204 2811385255 5622770510 11245541020