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1020031104 = 2736733947
BaseRepresentation
bin111100110011000…
…111000010000000
32122002100221121210
4330303013002000
54042111443404
6245114450120
734164056421
oct7463070200
92562327553
101020031104
11483865514
12245733940
13133431801
1499683648
155e83b689
hex3ccc7080

1020031104 has 64 divisors (see below), whose sum is σ = 2714171040. Its totient is φ = 339419136.

The previous prime is 1020031091. The next prime is 1020031109. The reversal of 1020031104 is 4011300201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1020031104.

It is not an unprimeable number, because it can be changed into a prime (1020031109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256459 + ... + 260405.

Almost surely, 21020031104 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 1020031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357085520).

1020031104 is an abundant number, since it is smaller than the sum of its proper divisors (1694139936).

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

1020031104 is an equidigital number, since it uses as much as digits as its factorization.

1020031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1020031104 is about 31937.9257936391. The cubic root of 1020031104 is about 1006.6329414799.

Adding to 1020031104 its reverse (4011300201), we get a palindrome (5031331305).

The spelling of 1020031104 in words is "one billion, twenty million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 673 1346 2019 2692 3947 4038 5384 7894 8076 10768 11841 15788 16152 21536 23682 31576 32304 43072 47364 63152 64608 86144 94728 126304 129216 189456 252608 258432 378912 505216 757824 1515648 2656331 5312662 7968993 10625324 15937986 21250648 31875972 42501296 63751944 85002592 127503888 170005184 255007776 340010368 510015552 1020031104