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211410430400 = 26521310163963
BaseRepresentation
bin1100010011100100001…
…0110010100111000000
3202012200120000121101202
43010321002302213000
511430432032233100
6241042015120332
721162643002641
oct3047102624700
9665616017352
10211410430400
1181727749474
1234b80b130a8
1316c2229a840
14a3376ad6c8
1557750877d5
hex31390b29c0

211410430400 has 84 divisors (see below), whose sum is σ = 560217367752. Its totient is φ = 78059228160.

The previous prime is 211410430367. The next prime is 211410430411. The reversal of 211410430400 is 4034014112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5061182 + ... + 5102781.

It is an arithmetic number, because the mean of its divisors is an integer number (6669254378).

Almost surely, 2211410430400 is an apocalyptic number.

211410430400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211410430400 is an abundant number, since it is smaller than the sum of its proper divisors (348806937352).

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

211410430400 is a wasteful number, since it uses less digits than its factorization.

211410430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10163998 (or 10163983 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211410430400 its reverse (4034014112), we get a palindrome (215444444512).

The spelling of 211410430400 in words is "two hundred eleven billion, four hundred ten million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 10163963 20327926 40655852 50819815 81311704 101639630 132131519 162623408 203279260 254099075 264263038 325246816 406558520 508198150 528526076 650493632 660657595 813117040 1016396300 1057052152 1321315190 1626234080 2032792600 2114104304 2642630380 3252468160 3303287975 4065585200 4228208608 5285260760 6606575950 8131170400 8456417216 10570521520 13213151900 16262340800 21141043040 26426303800 42282086080 52852607600 105705215200 211410430400