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1012413104 = 241711332939
BaseRepresentation
bin111100010110000…
…011001010110000
32121120000220200122
4330112003022300
54033134204404
6244243305412
734042240463
oct7426031260
92546026618
101012413104
1147a531a4a
1224307b268
13131995211
149865d2da
155dd343be
hex3c5832b0

1012413104 has 40 divisors (see below), whose sum is σ = 2095379280. Its totient is φ = 472199168.

The previous prime is 1012413091. The next prime is 1012413137. The reversal of 1012413104 is 4013142101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 14267 + ... + 47205.

It is an arithmetic number, because the mean of its divisors is an integer number (52384482).

Almost surely, 21012413104 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 1012413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047689640).

1012413104 is an abundant number, since it is smaller than the sum of its proper divisors (1082966176).

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

1012413104 is a wasteful number, since it uses less digits than its factorization.

1012413104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33077 (or 33071 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1012413104 is about 31818.4396851888. The cubic root of 1012413104 is about 1004.1206978591.

Adding to 1012413104 its reverse (4013142101), we get a palindrome (5025555205).

The spelling of 1012413104 in words is "one billion, twelve million, four hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 113 136 226 272 452 904 1808 1921 3842 7684 15368 30736 32939 65878 131756 263512 527024 559963 1119926 2239852 3722107 4479704 7444214 8959408 14888428 29776856 59553712 63275819 126551638 253103276 506206552 1012413104