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211431414300 = 223524791471339
BaseRepresentation
bin1100010011101001001…
…0110101101000011100
3202012202000111200220020
43010322102311220130
511431002420224200
6241044044552140
721163316240331
oct3047222655034
9665660450806
10211431414300
1181738580a37
1234b87b52650
1316c26736a52
14a33a3b2988
155776d2eea0
hex313a4b5a1c

211431414300 has 72 divisors (see below), whose sum is σ = 613019097600. Its totient is φ = 56263965120.

The previous prime is 211431414269. The next prime is 211431414331. The reversal of 211431414300 is 3414134112.

It is an interprime number because it is at equal distance from previous prime (211431414269) and next prime (211431414331).

It is a congruent number.

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, 591970 + ... + 879369.

Almost surely, 2211431414300 is an apocalyptic number.

211431414300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211431414300 is an abundant number, since it is smaller than the sum of its proper divisors (401587683300).

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

211431414300 is a wasteful number, since it uses less digits than its factorization.

211431414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471835 (or 1471828 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 211431414300 its reverse (3414134112), we get a palindrome (214845548412).

The spelling of 211431414300 in words is "two hundred eleven billion, four hundred thirty-one million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 479 958 1437 1916 2395 2874 4790 5748 7185 9580 11975 14370 23950 28740 35925 47900 71850 143700 1471339 2942678 4414017 5885356 7356695 8828034 14713390 17656068 22070085 29426780 36783475 44140170 73566950 88280340 110350425 147133900 220700850 441401700 704771381 1409542762 2114314143 2819085524 3523856905 4228628286 7047713810 8457256572 10571570715 14095427620 17619284525 21143141430 35238569050 42286282860 52857853575 70477138100 105715707150 211431414300