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1023223012 = 2273743103223
BaseRepresentation
bin111100111111010…
…010010011100100
32122022101010002121
4330333102103210
54043421114022
6245311115324
734233152320
oct7477222344
92568333077
101023223012
11485645659
12246812b44
13133cab606
1499c74980
155ec6c2c7
hex3cfd24e4

1023223012 has 96 divisors (see below), whose sum is σ = 2181251072. Its totient is φ = 410852736.

The previous prime is 1023223009. The next prime is 1023223043. The reversal of 1023223012 is 2103223201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4588333 + ... + 4588555.

Almost surely, 21023223012 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 1023223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090625536).

1023223012 is an abundant number, since it is smaller than the sum of its proper divisors (1158028060).

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

1023223012 is a wasteful number, since it uses less digits than its factorization.

1023223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1023223012 is about 31987.8572586536. The cubic root of 1023223012 is about 1007.6818421968.

Adding to 1023223012 its reverse (2103223201), we get a palindrome (3126446213).

The spelling of 1023223012 in words is "one billion, twenty-three million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 4 7 14 28 37 43 74 86 103 148 172 206 223 259 301 412 446 518 602 721 892 1036 1204 1442 1561 1591 2884 3122 3182 3811 4429 6244 6364 7622 8251 8858 9589 11137 15244 16502 17716 19178 22274 22969 26677 31003 33004 38356 44548 45938 53354 57757 62006 67123 91876 106708 115514 124012 134246 160783 163873 231028 268492 321566 327746 354793 643132 655492 709586 849853 987667 1147111 1419172 1699706 1975334 2294222 2483551 3399412 3950668 4588444 4967102 5948971 6913669 9934204 11897942 13827338 23795884 27654676 36543679 73087358 146174716 255805753 511611506 1023223012