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211431433420 = 225193140274457
BaseRepresentation
bin1100010011101001001…
…0111010010011001100
3202012202000112200010101
43010322102322103030
511431002421332140
6241044045220444
721163316350144
oct3047222722314
9665660480111
10211431433420
1181738594339
1234b87b61724
1316c2674266c
14a33a3b9924
155776d3599a
hex313a4ba4cc

211431433420 has 96 divisors (see below), whose sum is σ = 482679429120. Its totient is φ = 77500177920.

The previous prime is 211431433373. The next prime is 211431433457. The reversal of 211431433420 is 24334134112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47435832 + ... + 47440288.

It is an arithmetic number, because the mean of its divisors is an integer number (5027910720).

Almost surely, 2211431433420 is an apocalyptic number.

211431433420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211431433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241339714560).

211431433420 is an abundant number, since it is smaller than the sum of its proper divisors (271247995700).

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

211431433420 is a wasteful number, since it uses less digits than its factorization.

211431433420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8543 (or 8541 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 211431433420 its reverse (24334134112), we get a palindrome (235765567532).

The spelling of 211431433420 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 4027 4457 5890 8054 8914 11780 16108 17828 20135 22285 40270 44570 76513 80540 84683 89140 124837 138167 153026 169366 249674 276334 306052 338732 382565 423415 499348 552668 624185 690835 765130 846830 1248370 1381670 1530260 1693660 2371903 2496740 2625173 2763340 4743806 5250346 9487612 10500692 11859515 13125865 17948339 23719030 26251730 35896678 47438060 52503460 71793356 89741695 179483390 341018441 358966780 556398509 682036882 1112797018 1364073764 1705092205 2225594036 2781992545 3410184410 5563985090 6820368820 10571571671 11127970180 21143143342 42286286684 52857858355 105715716710 211431433420