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1211401312 = 251137471979
BaseRepresentation
bin100100000110100…
…1000010001100000
310010102110120012021
41020031020101200
54440104320222
6320112311224
742006512152
oct11015102140
93112416167
101211401312
11571893810
12299842514
13163c86b14
14b6c5aad2
157153dac7
hex48348460

1211401312 has 96 divisors (see below), whose sum is σ = 2730309120. Its totient is φ = 524090880.

The previous prime is 1211401277. The next prime is 1211401313. The reversal of 1211401312 is 2131041121.

It is a super-4 number, since 4×12114013124 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211401313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611139 + ... + 613117.

It is an arithmetic number, because the mean of its divisors is an integer number (28440720).

Almost surely, 21211401312 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 1211401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365154560).

1211401312 is an abundant number, since it is smaller than the sum of its proper divisors (1518907808).

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

1211401312 is a wasteful number, since it uses less digits than its factorization.

1211401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1211401312 is about 34805.1908772240. The cubic root of 1211401312 is about 1066.0134392809.

Adding to 1211401312 its reverse (2131041121), we get a palindrome (3342442433).

The spelling of 1211401312 in words is "one billion, two hundred eleven million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 47 74 88 94 148 176 188 296 352 376 407 517 592 752 814 1034 1184 1504 1628 1739 1979 2068 3256 3478 3958 4136 6512 6956 7916 8272 13024 13912 15832 16544 19129 21769 27824 31664 38258 43538 55648 63328 73223 76516 87076 93013 146446 153032 174152 186026 292892 306064 348304 372052 585784 612128 696608 744104 805453 1023143 1171568 1488208 1610906 2046286 2343136 2976416 3221812 3441481 4092572 6443624 6882962 8185144 12887248 13765924 16370288 25774496 27531848 32740576 37856291 55063696 75712582 110127392 151425164 302850328 605700656 1211401312