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1320023012 = 2271147671361
BaseRepresentation
bin100111010101101…
…1111001111100100
310101222212010011012
41032223133033210
510200411214022
6334552401352
744466003410
oct11653371744
93358763135
101320023012
11618133910
1230a0a6258
13180628a09
14c7453d40
157ad47de2
hex4eadf3e4

1320023012 has 96 divisors (see below), whose sum is σ = 2987421696. Its totient is φ = 495475200.

The previous prime is 1320023009. The next prime is 1320023039. The reversal of 1320023012 is 2103200231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969212 + ... + 970572.

It is an arithmetic number, because the mean of its divisors is an integer number (31118976).

Almost surely, 21320023012 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 1320023012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493710848).

1320023012 is an abundant number, since it is smaller than the sum of its proper divisors (1667398684).

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

1320023012 is a wasteful number, since it uses less digits than its factorization.

1320023012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1320023012 is about 36332.1209400167. The cubic root of 1320023012 is about 1096.9676850135.

Adding to 1320023012 its reverse (2103200231), we get a palindrome (3423223243).

The spelling of 1320023012 in words is "one billion, three hundred twenty million, twenty-three thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 47 67 77 94 134 154 188 268 308 329 469 517 658 737 938 1034 1316 1361 1474 1876 2068 2722 2948 3149 3619 5159 5444 6298 7238 9527 10318 12596 14476 14971 19054 20636 22043 29942 34639 38108 44086 59884 63967 69278 88172 91187 104797 127934 138556 182374 209594 242473 255868 364748 419188 447769 484946 638309 703637 895538 969892 1003057 1276618 1407274 1791076 2006114 2553236 2814548 4012228 4285789 4925459 7021399 8571578 9850918 14042798 17143156 19701836 28085596 30000523 47143679 60001046 94287358 120002092 188574716 330005753 660011506 1320023012