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312403034310020 = 225174092246534117
BaseRepresentation
bin100011100001000001111111…
…1111000110000010110000100
31111222010102211121011222110222
41013002003333320300112010
5311421402403240410040
63024231550034203512
7122542242263555363
oct10702037770602604
91458112747158428
10312403034310020
11905a54235a0755
122b055974123598
1310541630c6ac44
14572055d5917da
15261b4be747bb5
hex11c20ffe30584

312403034310020 has 48 divisors (see below), whose sum is σ = 696335715215280. Its totient is φ = 117322997673984.

The previous prime is 312403034309999. The next prime is 312403034310097. The reversal of 312403034310020 is 20013430304213.

It can be written as a sum of positive squares in 8 ways, for example, as 61332924793156 + 251070109516864 = 7831534^2 + 15845192^2 .

It is a super-2 number, since 2×3124030343100202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123127999 + ... + 1123406118.

It is an arithmetic number, because the mean of its divisors is an integer number (14506994066985).

Almost surely, 2312403034310020 is an apocalyptic number.

It is an amenable number.

312403034310020 is an abundant number, since it is smaller than the sum of its proper divisors (383932680905260).

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

312403034310020 is a wasteful number, since it uses less digits than its factorization.

312403034310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246534552 (or 2246534550 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 312403034310020 its reverse (20013430304213), we get a palindrome (332416464614233).

The spelling of 312403034310020 in words is "three hundred twelve trillion, four hundred three billion, thirty-four million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 409 818 1636 2045 4090 6953 8180 13906 27812 34765 69530 139060 2246534117 4493068234 8986136468 11232670585 22465341170 38191079989 44930682340 76382159978 152764319956 190955399945 381910799890 763821599780 918832453853 1837664907706 3675329815412 4594162269265 9188324538530 15620151715501 18376649077060 31240303431002 62480606862004 78100758577505 156201517155010 312403034310020