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11034241120 = 255725139251
BaseRepresentation
bin10100100011011000…
…10010100001100000
31001110222212112020001
422101230102201200
5140044231203440
65022530025344
7540303334120
oct122154224140
931428775201
1011034241120
1147525a5741
12217b418254
13106b055b76
14769664c80
15448aa4b9a
hex291b12860

11034241120 has 96 divisors (see below), whose sum is σ = 29911908096. Its totient is φ = 3768000000.

The previous prime is 11034241103. The next prime is 11034241123. The reversal of 11034241120 is 2114243011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034241123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261495 + ... + 300745.

It is an arithmetic number, because the mean of its divisors is an integer number (311582376).

Almost surely, 211034241120 is an apocalyptic number.

11034241120 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 11034241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955954048).

11034241120 is an abundant number, since it is smaller than the sum of its proper divisors (18877666976).

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

11034241120 is a wasteful number, since it uses less digits than its factorization.

11034241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39524 (or 39516 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11034241120 its reverse (2114243011), we get a palindrome (13148484131).

The spelling of 11034241120 in words is "eleven billion, thirty-four million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 251 280 502 560 1004 1120 1255 1757 2008 2510 3514 4016 5020 7028 8032 8785 10040 14056 17570 20080 28112 35140 39251 40160 56224 70280 78502 140560 157004 196255 274757 281120 314008 392510 549514 628016 785020 1099028 1256032 1373785 1570040 2198056 2747570 3140080 4396112 5495140 6280160 8792224 9852001 10990280 19704002 21980560 39408004 43961120 49260005 68964007 78816008 98520010 137928014 157632016 197040020 275856028 315264032 344820035 394080040 551712056 689640070 788160080 1103424112 1379280140 1576320160 2206848224 2758560280 5517120560 11034241120