Search a number
-
+
11303020032 = 29316574441
BaseRepresentation
bin10101000011011011…
…00110011000000000
31002011201121220120120
422201231212120000
5141122033120112
65105330540240
7550046041113
oct124155463000
932151556516
1011303020032
114880295277
122235437680
1310b1941c45
1479322c57a
15462497e8c
hex2a1b66600

11303020032 has 80 divisors (see below), whose sum is σ = 30136908912. Its totient is φ = 3764551680.

The previous prime is 11303020009. The next prime is 11303020063. The reversal of 11303020032 is 23002030311.

It is a junction number, because it is equal to n+sod(n) for n = 11303019993 and 11303020020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2542932 + ... + 2547372.

Almost surely, 211303020032 is an apocalyptic number.

11303020032 is a gapful number since it is divisible by the number (12) 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 11303020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068454456).

11303020032 is an abundant number, since it is smaller than the sum of its proper divisors (18833888880).

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

11303020032 is an equidigital number, since it uses as much as digits as its factorization.

11303020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 11303020032 its reverse (23002030311), we get a palindrome (34305050343).

The spelling of 11303020032 in words is "eleven billion, three hundred three million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1657 3314 4441 4971 6628 8882 9942 13256 13323 17764 19884 26512 26646 35528 39768 53024 53292 71056 79536 106048 106584 142112 159072 212096 213168 284224 318144 424192 426336 568448 636288 848384 852672 1136896 1272576 1705344 2273792 2545152 3410688 6821376 7358737 14717474 22076211 29434948 44152422 58869896 88304844 117739792 176609688 235479584 353219376 470959168 706438752 941918336 1412877504 1883836672 2825755008 3767673344 5651510016 11303020032