Search a number
-
+
20330130033312 = 2531156263342179
BaseRepresentation
bin1001001111101011110100…
…01011011100101010100000
32122222112121201100210221120
410213311322023130222200
510131042101242031222
6111123311030252240
74165542401013051
oct447657213345240
978875551323846
1020330130033312
116528a61442310
1223441474b7080
13b4617a405408
14503daabb6728
15253c777a715c
hex127d7a2dcaa0

20330130033312 has 96 divisors (see below), whose sum is σ = 58219304532480. Its totient is φ = 6160517963520.

The previous prime is 20330130033289. The next prime is 20330130033313. The reversal of 20330130033312 is 21333003103302.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20330130033313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59242639 + ... + 59584817.

It is an arithmetic number, because the mean of its divisors is an integer number (606451088880).

Almost surely, 220330130033312 is an apocalyptic number.

20330130033312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20330130033312 is an abundant number, since it is smaller than the sum of its proper divisors (37889174499168).

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

20330130033312 is a wasteful number, since it uses less digits than its factorization.

20330130033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398466 (or 398458 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 20330130033312 its reverse (21333003103302), we get a palindrome (41663133136614).

The spelling of 20330130033312 in words is "twenty trillion, three hundred thirty billion, one hundred thirty million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 56263 112526 168789 225052 337578 342179 450104 618893 675156 684358 900208 1026537 1237786 1350312 1368716 1800416 1856679 2053074 2475572 2700624 2737432 3713358 3763969 4106148 4951144 5401248 5474864 7426716 7527938 8212296 9902288 10949728 11291907 14853432 15055876 16424592 19804576 22583814 29706864 30111752 32849184 45167628 59413728 60223504 90335256 120447008 180670512 361341024 19252017077 38504034154 57756051231 77008068308 115512102462 154016136616 211772187847 231024204924 308032273232 423544375694 462048409848 616064546464 635316563541 847088751388 924096819696 1270633127082 1694177502776 1848193639392 2541266254164 3388355005552 5082532508328 6776710011104 10165065016656 20330130033312