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1301012112 = 243239712149
BaseRepresentation
bin100110110001011…
…1101111010010000
310100200002021002210
41031202331322100
510131024341422
6333033112120
744145264141
oct11542757220
93320067083
101301012112
11608429724
12303858640
1317970086a
14c4b05ac8
157934010c
hex4d8bde90

1301012112 has 80 divisors (see below), whose sum is σ = 3543523200. Its totient is φ = 410505216.

The previous prime is 1301012101. The next prime is 1301012117. The reversal of 1301012112 is 2112101031.

1301012112 is digitally balanced in base 4, because in such base 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 (12).

It is not an unprimeable number, because it can be changed into a prime (1301012117) 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, 101014 + ... + 113162.

It is an arithmetic number, because the mean of its divisors is an integer number (44294040).

Almost surely, 21301012112 is an apocalyptic number.

1301012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771761600).

1301012112 is an abundant number, since it is smaller than the sum of its proper divisors (2242511088).

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

1301012112 is a wasteful number, since it uses less digits than its factorization.

1301012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12280 (or 12274 counting only the distinct ones).

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

The square root of 1301012112 is about 36069.5454920075. The cubic root of 1301012112 is about 1091.6760433927.

Adding to 1301012112 its reverse (2112101031), we get a palindrome (3413113143).

The spelling of 1301012112 in words is "one billion, three hundred one million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 97 138 184 194 276 291 368 388 552 582 776 1104 1164 1552 2231 2328 4462 4656 6693 8924 12149 13386 17848 24298 26772 35696 36447 48596 53544 72894 97192 107088 145788 194384 279427 291576 558854 583152 838281 1117708 1178453 1676562 2235416 2356906 3353124 3535359 4470832 4713812 6706248 7070718 9427624 13412496 14141436 18855248 27104419 28282872 54208838 56565744 81313257 108417676 162626514 216835352 325253028 433670704 650506056 1301012112