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312100321300032 = 26313241122764331
BaseRepresentation
bin100011011110110101000010…
…0110010010000111001000000
31111221001111111000020202200110
41012331222010302100321000
5311401422424223100112
63023440524103551320
7122511334623462636
oct10675520462207100
91457044430222613
10312100321300032
1190499003a31941
122b00717215b540
131051bc1b04bca5
14570da43dd1356
1526136a3cd413c
hex11bda84c90e40

312100321300032 has 56 divisors (see below), whose sum is σ = 825827804446752. Its totient is φ = 104025582668800.

The previous prime is 312100321299959. The next prime is 312100321300037. The reversal of 312100321300032 is 230003123001213.

It is a super-2 number, since 2×3121003213000322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312100321299981 and 312100321300008.

It is not an unprimeable number, because it can be changed into a prime (312100321300037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58839894 + ... + 63924437.

Almost surely, 2312100321300032 is an apocalyptic number.

312100321300032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312100321300032 is an abundant number, since it is smaller than the sum of its proper divisors (513727483146720).

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

312100321300032 is a wasteful number, since it uses less digits than its factorization.

312100321300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122777587 (or 122777577 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312100321300032 its reverse (230003123001213), we get a palindrome (542103444301245).

The spelling of 312100321300032 in words is "three hundred twelve trillion, one hundred billion, three hundred twenty-one million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 13241 26482 39723 52964 79446 105928 158892 211856 317784 423712 635568 847424 1271136 2542272 122764331 245528662 368292993 491057324 736585986 982114648 1473171972 1964229296 2946343944 3928458592 5892687888 7856917184 11785375776 23570751552 1625522506771 3251045013542 4876567520313 6502090027084 9753135040626 13004180054168 19506270081252 26008360108336 39012540162504 52016720216672 78025080325008 104033440433344 156050160650016 312100321300032