Search a number
-
+
1061061120 = 2934571743
BaseRepresentation
bin111111001111101…
…000001000000000
32201221120111020000
4333033220020000
54133112423440
6253142120000
735202604440
oct7717501000
92657514200
101061061120
114a4a39a19
12257420000
1313ba99122
14a0cc4120
1563243730
hex3f3e8200

1061061120 has 800 divisors, whose sum is σ = 4705734528. Its totient is φ = 222953472.

The previous prime is 1061061119. The next prime is 1061061121. The reversal of 1061061120 is 211601601.

It is an interprime number because it is at equal distance from previous prime (1061061119) and next prime (1061061121).

It is a super-2 number, since 2×10610611202 = 2251701400751308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1061061093 and 1061061102.

It is not an unprimeable number, because it can be changed into a prime (1061061121) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 24675819 + ... + 24675861.

Almost surely, 21061061120 is an apocalyptic number.

1061061120 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 1061061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352867264).

1061061120 is an abundant number, since it is smaller than the sum of its proper divisors (3644673408).

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

1061061120 is an equidigital number, since it uses as much as digits as its factorization.

1061061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1061061120 is about 32573.9331367890. The cubic root of 1061061120 is about 1019.9529390052.

Adding to 1061061120 its reverse (211601601), we get a palindrome (1272662721).

The spelling of 1061061120 in words is "one billion, sixty-one million, sixty-one thousand, one hundred twenty".