Search a number
-
+
3103000032 = 253114197013
BaseRepresentation
bin1011100011110100…
…0000010111100000
322000020211201211010
42320331000113200
522323332000112
61231524020520
7136616031216
oct27075002740
98006751733
103103000032
111352620940
12727231740
133a5b386c2
14216178cb6
1513263c63c
hexb8f405e0

3103000032 has 96 divisors (see below), whose sum is σ = 8908341120. Its totient is φ = 937925120.

The previous prime is 3103000031. The next prime is 3103000049. The reversal of 3103000032 is 2300003013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3102999981 and 3103000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3103000031) 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, 438958 + ... + 445970.

It is an arithmetic number, because the mean of its divisors is an integer number (92795220).

Almost surely, 23103000032 is an apocalyptic number.

3103000032 is a gapful number since it is divisible by the number (32) 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 3103000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454170560).

3103000032 is an abundant number, since it is smaller than the sum of its proper divisors (5805341088).

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

3103000032 is a wasteful number, since it uses less digits than its factorization.

3103000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7456 (or 7448 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3103000032 is about 55704.5781960514. The cubic root of 3103000032 is about 1458.5699439483.

Adding to 3103000032 its reverse (2300003013), we get a palindrome (5403003045).

The spelling of 3103000032 in words is "three billion, one hundred three million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 419 528 838 1056 1257 1676 2514 3352 4609 5028 6704 7013 9218 10056 13408 13827 14026 18436 20112 21039 27654 28052 36872 40224 42078 55308 56104 73744 77143 84156 110616 112208 147488 154286 168312 221232 224416 231429 308572 336624 442464 462858 617144 673248 925716 1234288 1851432 2468576 2938447 3702864 5876894 7405728 8815341 11753788 17630682 23507576 32322917 35261364 47015152 64645834 70522728 94030304 96968751 129291668 141045456 193937502 258583336 282090912 387875004 517166672 775750008 1034333344 1551500016 3103000032