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2301000312 = 2331361711953
BaseRepresentation
bin1000100100100110…
…0111101001111000
312221100201221000210
42021021213221320
514203024002222
61020154231120
7111010115502
oct21111475170
95840657023
102301000312
11a80944656
125427254a0
132a8935560
1417b84cd72
15d701cd0c
hex89267a78

2301000312 has 64 divisors (see below), whose sum is σ = 6205560480. Its totient is φ = 706793472.

The previous prime is 2301000311. The next prime is 2301000367. The reversal of 2301000312 is 2130001032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301000311) 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, 186528 + ... + 198480.

Almost surely, 22301000312 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 2301000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102780240).

2301000312 is an abundant number, since it is smaller than the sum of its proper divisors (3904560168).

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

2301000312 is a wasteful number, since it uses less digits than its factorization.

2301000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12592 (or 12588 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2301000312 is about 47968.7430729637. The cubic root of 2301000312 is about 1320.1974589822.

Adding to 2301000312 its reverse (2130001032), we get a palindrome (4431001344).

The spelling of 2301000312 in words is "two billion, three hundred one million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 617 1234 1851 2468 3702 4936 7404 8021 11953 14808 16042 23906 24063 32084 35859 47812 48126 64168 71718 95624 96252 143436 155389 192504 286872 310778 466167 621556 932334 1243112 1864668 3729336 7375001 14750002 22125003 29500004 44250006 59000008 88500012 95875013 177000024 191750026 287625039 383500052 575250078 767000104 1150500156 2301000312