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300032001312 = 253109190115083
BaseRepresentation
bin1000101110110110100…
…11010000010100100000
31001200102202010212021220
410113123103100110200
514403431143020222
6345455515015040
730451033634541
oct4273323202440
91050382125256
10300032001312
1110627427436a
124a19413a480
13223a66547b4
14107434b24c8
157c103d0b5c
hex45db4d0520

300032001312 has 96 divisors (see below), whose sum is σ = 795280368960. Its totient is φ = 99034444800.

The previous prime is 300032001307. The next prime is 300032001317. The reversal of 300032001312 is 213100230003.

It is an interprime number because it is at equal distance from previous prime (300032001307) and next prime (300032001317).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3000320013122 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300032001291 and 300032001300.

It is not an unprimeable number, because it can be changed into a prime (300032001317) 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, 19884523 + ... + 19899605.

It is an arithmetic number, because the mean of its divisors is an integer number (8284170510).

Almost surely, 2300032001312 is an apocalyptic number.

300032001312 is a gapful number since it is divisible by the number (32) 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 300032001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397640184480).

300032001312 is an abundant number, since it is smaller than the sum of its proper divisors (495248367648).

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

300032001312 is a wasteful number, since it uses less digits than its factorization.

300032001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17106 (or 17098 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 300032001312 its reverse (213100230003), we get a palindrome (513132231315).

The spelling of 300032001312 in words is "three hundred billion, thirty-two million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 1901 2616 3488 3802 5232 5703 7604 10464 11406 15083 15208 22812 30166 30416 45249 45624 60332 60832 90498 91248 120664 180996 182496 207209 241328 361992 414418 482656 621627 723984 828836 1243254 1447968 1644047 1657672 2486508 3288094 3315344 4932141 4973016 6576188 6630688 9864282 9946032 13152376 19728564 19892064 26304752 28672783 39457128 52609504 57345566 78914256 86018349 114691132 157828512 172036698 229382264 344073396 458764528 688146792 917529056 1376293584 2752587168 3125333347 6250666694 9376000041 12501333388 18752000082 25002666776 37504000164 50005333552 75008000328 100010667104 150016000656 300032001312