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1012112444 = 227219463587
BaseRepresentation
bin111100010100111…
…001110000111100
32121112110122021002
4330110321300330
54033100044234
6244233025432
734036546100
oct7424716074
92545418232
101012112444
1147a347072
12242b55278
131318bb405
14985c1900
155dcc527e
hex3c539c3c

1012112444 has 72 divisors (see below), whose sum is σ = 2177199360. Its totient is φ = 409346784.

The previous prime is 1012112443. The next prime is 1012112461. The reversal of 1012112444 is 4442112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012112443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1723919 + ... + 1724505.

It is an arithmetic number, because the mean of its divisors is an integer number (30238880).

Almost surely, 21012112444 is an apocalyptic number.

1012112444 is a gapful number since it is divisible by the number (14) 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 1012112444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088599680).

1012112444 is an abundant number, since it is smaller than the sum of its proper divisors (1165086916).

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

1012112444 is a wasteful number, since it uses less digits than its factorization.

1012112444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1012112444 is about 31813.7147155122. The cubic root of 1012112444 is about 1004.0212888932.

Adding to 1012112444 its reverse (4442112101), we get a palindrome (5454224545).

The spelling of 1012112444 in words is "one billion, twelve million, one hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 463 532 587 926 931 1174 1852 1862 2348 3241 3724 4109 6482 8218 8797 11153 12964 16436 17594 22306 22687 28763 35188 44612 45374 57526 61579 78071 90748 115052 123158 156142 246316 271781 312284 431053 543562 546497 862106 1087124 1092994 1724212 1902467 2185988 3804934 5163839 7609868 10327678 13317269 20655356 26634538 36146873 53269076 72293746 144587492 253028111 506056222 1012112444