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212431264116 = 223292093929153
BaseRepresentation
bin1100010111010111100…
…0111101100101110100
3202022022200220022222220
43011311320331211310
511440024400422431
6241331203122340
721230146644351
oct3056570754564
9668280808886
10212431264116
1182100a019a5
12352069733b0
1317055920766
14a3d30c1628
1557d49d1b96
hex3175e3d974

212431264116 has 48 divisors (see below), whose sum is σ = 512807198400. Its totient is φ = 68363072512.

The previous prime is 212431264109. The next prime is 212431264117. The reversal of 212431264116 is 611462134212.

It is a happy number.

It is a super-2 number, since 2×2124312641162 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212431264117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7272196 + ... + 7301348.

It is an arithmetic number, because the mean of its divisors is an integer number (10683483300).

Almost surely, 2212431264116 is an apocalyptic number.

It is an amenable number.

212431264116 is an abundant number, since it is smaller than the sum of its proper divisors (300375934284).

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

212431264116 is a wasteful number, since it uses less digits than its factorization.

212431264116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50128 (or 50126 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

Adding to 212431264116 its reverse (611462134212), we get a palindrome (823893398328).

The spelling of 212431264116 in words is "two hundred twelve billion, four hundred thirty-one million, two hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 20939 29153 41878 58306 62817 83756 87459 116612 125634 174918 251268 349836 607231 845437 1214462 1690874 1821693 2428924 2536311 3381748 3643386 5072622 7286772 10145244 610434667 1220869334 1831304001 2441738668 3662608002 7325216004 17702605343 35405210686 53107816029 70810421372 106215632058 212431264116