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312214041220 = 225199186742017
BaseRepresentation
bin1001000101100010110…
…10000011001010000100
31002211212201210121110011
410202301122003022010
520103403243304340
6355232410240004
731361645364064
oct4426132031204
91084781717404
10312214041220
11110455761244
1250613a26004
1323598425833
141117b3593a4
1581c4b0e0ea
hex48b1683284

312214041220 has 48 divisors (see below), whose sum is σ = 659312841600. Its totient is φ = 124188539904.

The previous prime is 312214041193. The next prime is 312214041233. The reversal of 312214041220 is 22140412213.

It is a super-3 number, since 3×3122140412203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312214041191 and 312214041200.

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, 7409652 + ... + 7451668.

It is an arithmetic number, because the mean of its divisors is an integer number (13735684200).

Almost surely, 2312214041220 is an apocalyptic number.

It is an amenable number.

312214041220 is an abundant number, since it is smaller than the sum of its proper divisors (347098800380).

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

312214041220 is a wasteful number, since it uses less digits than its factorization.

312214041220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44092 (or 44090 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 312214041220 its reverse (22140412213), we get a palindrome (334354453433).

The spelling of 312214041220 in words is "three hundred twelve billion, two hundred fourteen million, forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 199 398 796 995 1867 1990 3734 3980 7468 9335 18670 37340 42017 84034 168068 210085 371533 420170 743066 840340 1486132 1857665 3715330 7430660 8361383 16722766 33445532 41806915 78445739 83613830 156891478 167227660 313782956 392228695 784457390 1568914780 15610702061 31221404122 62442808244 78053510305 156107020610 312214041220