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2300001012 = 22322335989
BaseRepresentation
bin1000100100010111…
…0011101011110100
312221021212011020200
42021011303223310
514202300013022
61020121000500
7110665454211
oct21105635364
95837764220
102300001012
11a80321891
12542323130
132a867575a
1417b66cb08
15d6dc1bac
hex89173af4

2300001012 has 144 divisors (see below), whose sum is σ = 6250608000. Its totient is φ = 712804224.

The previous prime is 2300001007. The next prime is 2300001019. The reversal of 2300001012 is 2101000032.

2300001012 = 99892 + 99902 + ... + 100112.

It is a happy number.

2300001012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2300000985 and 2300001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300001019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25842664 + ... + 25842752.

It is an arithmetic number, because the mean of its divisors is an integer number (43407000).

Almost surely, 22300001012 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 2300001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125304000).

2300001012 is an abundant number, since it is smaller than the sum of its proper divisors (3950606988).

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

2300001012 is a wasteful number, since it uses less digits than its factorization.

2300001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2300001012 is about 47958.3257839554. The cubic root of 2300001012 is about 1320.0063153968.

Adding to 2300001012 its reverse (2101000032), we get a palindrome (4401001044).

The spelling of 2300001012 in words is "two billion, three hundred million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 69 89 92 118 138 177 178 207 236 267 276 354 356 414 529 531 534 708 801 828 1058 1062 1068 1357 1587 1602 2047 2116 2124 2714 3174 3204 4071 4094 4761 5251 5428 6141 6348 8142 8188 9522 10502 12167 12213 12282 15753 16284 18423 19044 21004 24334 24426 24564 31211 31506 36501 36846 47081 47259 48668 48852 62422 63012 73002 73692 93633 94162 94518 109503 120773 124844 141243 146004 187266 188324 189036 219006 241546 280899 282486 362319 374532 423729 438012 483092 561798 564972 717853 724638 847458 1082863 1086957 1123596 1435706 1449276 1694916 2153559 2165726 2173914 2777779 2871412 3248589 4307118 4331452 4347828 5555558 6460677 6497178 8333337 8614236 9745767 11111116 12921354 12994356 16666674 19491534 25000011 25842708 33333348 38983068 50000022 63888917 100000044 127777834 191666751 255555668 383333502 575000253 766667004 1150000506 2300001012