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20010312168 = 23371197711083
BaseRepresentation
bin10010101000101101…
…010010000111101000
31220122112221011212220
4102220231102013220
5311440114442133
613105334234040
71305605563350
oct225055220750
956575834786
1020010312168
118539332780
123a654b5920
131b6b878602
14d7b80bb60
157c1b065b3
hex4a8b521e8

20010312168 has 128 divisors (see below), whose sum is σ = 62439275520. Its totient is φ = 5191695360.

The previous prime is 20010312149. The next prime is 20010312169. The reversal of 20010312168 is 86121301002.

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 (20010312169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799955 + ... + 1811037.

It is an arithmetic number, because the mean of its divisors is an integer number (487806840).

Almost surely, 220010312168 is an apocalyptic number.

20010312168 is a gapful number since it is divisible by the number (28) 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 20010312168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31219637760).

20010312168 is an abundant number, since it is smaller than the sum of its proper divisors (42428963352).

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

20010312168 is a wasteful number, since it uses less digits than its factorization.

20010312168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12087 (or 12083 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 20010312168 in words is "twenty billion, ten million, three hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 977 1848 1954 2931 3908 5862 6839 7816 10747 11083 11724 13678 20517 21494 22166 23448 27356 32241 33249 41034 42988 44332 54712 64482 66498 75229 77581 82068 85976 88664 121913 128964 132996 150458 155162 164136 225687 232743 243826 257928 265992 300916 310324 365739 451374 465486 487652 601832 620648 731478 853391 902748 930972 975304 1462956 1706782 1805496 1861944 2560173 2925912 3413564 5120346 6827128 10240692 10828091 20481384 21656182 32484273 43312364 64968546 75796637 86624728 119109001 129937092 151593274 227389911 238218002 259874184 303186548 357327003 454779822 476436004 606373096 714654006 833763007 909559644 952872008 1429308012 1667526014 1819119288 2501289021 2858616024 3335052028 5002578042 6670104056 10005156084 20010312168