Search a number
-
+
1030117452 = 22371319131379
BaseRepresentation
bin111101011001100…
…101100001001100
32122210100101111020
4331121211201030
54102202224302
6250114554140
734345565610
oct7531454114
92583311436
101030117452
11489524541
12248b98950
13135553770
149ab4b340
156067eebc
hex3d66584c

1030117452 has 192 divisors, whose sum is σ = 3146035200. Its totient is φ = 254741760.

The previous prime is 1030117441. The next prime is 1030117541. The reversal of 1030117452 is 2547110301.

1030117452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10301174522 = 2122283929829944608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2717799 + ... + 2718177.

It is an arithmetic number, because the mean of its divisors is an integer number (16385600).

Almost surely, 21030117452 is an apocalyptic number.

1030117452 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 1030117452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573017600).

1030117452 is an abundant number, since it is smaller than the sum of its proper divisors (2115917748).

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

1030117452 is a wasteful number, since it uses less digits than its factorization.

1030117452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1030117452 is about 32095.4428540876. The cubic root of 1030117452 is about 1009.9400193116.

Adding to 1030117452 its reverse (2547110301), we get a palindrome (3577227753).

The spelling of 1030117452 in words is "one billion, thirty million, one hundred seventeen thousand, four hundred fifty-two".