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211431412122 = 2372739851431
BaseRepresentation
bin1100010011101001001…
…0110101000110011010
3202012202000111120220120
43010322102311012122
511431002420141442
6241044044534110
721163316231100
oct3047222650632
9665660446816
10211431412122
118173857a337
1234b87b51336
1316c26735a68
14a33a3b1c70
155776d2e4ec
hex313a4b519a

211431412122 has 48 divisors (see below), whose sum is σ = 498640082112. Its totient is φ = 59581448640.

The previous prime is 211431412111. The next prime is 211431412133. The reversal of 211431412122 is 221214134112.

It is an interprime number because it is at equal distance from previous prime (211431412111) and next prime (211431412133).

It is a junction number, because it is equal to n+sod(n) for n = 211431412092 and 211431412101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4904254 + ... + 4947177.

It is an arithmetic number, because the mean of its divisors is an integer number (10388335044).

Almost surely, 2211431412122 is an apocalyptic number.

211431412122 is an abundant number, since it is smaller than the sum of its proper divisors (287208669990).

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

211431412122 is a wasteful number, since it uses less digits than its factorization.

211431412122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9851523 (or 9851516 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 211431412122 its reverse (221214134112), we get a palindrome (432645546234).

The spelling of 211431412122 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 146 147 219 294 438 511 1022 1533 3066 3577 7154 10731 21462 9851431 19702862 29554293 59108586 68960017 137920034 206880051 413760102 482720119 719154463 965440238 1438308926 1448160357 2157463389 2896320714 4314926778 5034081241 10068162482 15102243723 30204487446 35238568687 70477137374 105715706061 211431412122