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1213041312 = 25337200569
BaseRepresentation
bin100100001001101…
…1000101010100000
310010112112212212000
41020103120222200
54441014310222
6320211404000
742026452410
oct11023305240
93115485760
101213041312
1157280398a
1229a2b3600
1316440c432
14b7166640
15717649ac
hex484d8aa0

1213041312 has 96 divisors (see below), whose sum is σ = 4043491200. Its totient is φ = 346581504.

The previous prime is 1213041289. The next prime is 1213041317. The reversal of 1213041312 is 2131403121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1213041317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94237 + ... + 106332.

It is an arithmetic number, because the mean of its divisors is an integer number (42119700).

Almost surely, 21213041312 is an apocalyptic number.

1213041312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1213041312 is an abundant number, since it is smaller than the sum of its proper divisors (2830449888).

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

1213041312 is a wasteful number, since it uses less digits than its factorization.

1213041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200595 (or 200581 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1213041312 is about 34828.7426129626. The cubic root of 1213041312 is about 1066.4942801278.

Adding to 1213041312 its reverse (2131403121), we get a palindrome (3344444433).

The spelling of 1213041312 in words is "one billion, two hundred thirteen million, forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 200569 401138 601707 802276 1203414 1403983 1604552 1805121 2406828 2807966 3209104 3610242 4211949 4813656 5415363 5615932 6418208 7220484 8423898 9627312 10830726 11231864 12635847 14440968 16847796 19254624 21661452 22463728 25271694 28881936 33695592 37907541 43322904 44927456 50543388 57763872 67391184 75815082 86645808 101086776 134782368 151630164 173291616 202173552 303260328 404347104 606520656 1213041312