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1010321104 = 241340112113
BaseRepresentation
bin111100001110000…
…100011011010000
32121102002122000011
4330032010123100
54032120233404
6244130404304
734015405402
oct7416043320
92542078004
101010321104
11479333221
12242430694
13131411c50
1498276b72
155da6e604
hex3c3846d0

1010321104 has 40 divisors (see below), whose sum is σ = 2113505352. Its totient is φ = 465100800.

The previous prime is 1010321099. The next prime is 1010321113. The reversal of 1010321104 is 4011230101.

It can be written as a sum of positive squares in 4 ways, for example, as 183873600 + 826447504 = 13560^2 + 28748^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 77352 + ... + 89464.

Almost surely, 21010321104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056752676).

1010321104 is an abundant number, since it is smaller than the sum of its proper divisors (1103184248).

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

1010321104 is a wasteful number, since it uses less digits than its factorization.

1010321104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12535 (or 12529 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1010321104 is about 31785.5486660212. The cubic root of 1010321104 is about 1003.4285992723.

Adding to 1010321104 its reverse (4011230101), we get a palindrome (5021551205).

The spelling of 1010321104 in words is "one billion, ten million, three hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 401 802 1604 3208 5213 6416 10426 12113 20852 24226 41704 48452 83408 96904 157469 193808 314938 629876 1259752 2519504 4857313 9714626 19429252 38858504 63145069 77717008 126290138 252580276 505160552 1010321104