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1070100000 = 2532552941
BaseRepresentation
bin111111110010000…
…110111000100000
32202120120201020100
4333302012320200
54142421200000
6254103542400
735342462034
oct7762067040
92676521210
101070100000
114aa052a72
1225a45aa00
13140912388
14a21981c4
1563e2ba00
hex3fc86e20

1070100000 has 432 divisors, whose sum is σ = 4030757640. Its totient is φ = 268800000.

The previous prime is 1070099983. The next prime is 1070100049. The reversal of 1070100000 is 10701.

1070100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 774397584 + 295702416 = 27828^2 + 17196^2 .

It is a super-2 number, since 2×10701000002 = 2290228020000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26099980 + ... + 26100020.

Almost surely, 21070100000 is an apocalyptic number.

1070100000 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 1070100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015378820).

1070100000 is an abundant number, since it is smaller than the sum of its proper divisors (2960657640).

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

1070100000 is an equidigital number, since it uses as much as digits as its factorization.

1070100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 1070100000 is about 32712.3829764816. The cubic root of 1070100000 is about 1022.8409839896.

Adding to 1070100000 its reverse (10701), we get a palindrome (1070110701).

1070100000 divided by its reverse (10701) gives a 5-th power (100000 = 105).

The spelling of 1070100000 in words is "one billion, seventy million, one hundred thousand".