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211202431000 = 23531119200221
BaseRepresentation
bin1100010010110010100…
…1010101100000011000
3202012011001122010212021
43010230221111200120
511430020310243000
6241005225024224
721154536020461
oct3045451254030
9665131563767
10211202431000
11816302a2440
1234b23325074
1316bbb172482
14a317c07d68
155761b9d11a
hex312ca55818

211202431000 has 64 divisors (see below), whose sum is σ = 539142233760. Its totient is φ = 76800880000.

The previous prime is 211202430973. The next prime is 211202431001. The reversal of 211202431000 is 134202112.

211202431000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112024310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211202431001) 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, 9589111 + ... + 9611110.

Almost surely, 2211202431000 is an apocalyptic number.

211202431000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211202431000 is an abundant number, since it is smaller than the sum of its proper divisors (327939802760).

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

211202431000 is a wasteful number, since it uses less digits than its factorization.

211202431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19200253 (or 19200239 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 211202431000 its reverse (134202112), we get a palindrome (211336633112).

The spelling of 211202431000 in words is "two hundred eleven billion, two hundred two million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 19200221 38400442 76800884 96001105 153601768 192002210 211202431 384004420 422404862 480005525 768008840 844809724 960011050 1056012155 1689619448 1920022100 2112024310 2400027625 3840044200 4224048620 4800055250 5280060775 8448097240 9600110500 10560121550 19200221000 21120243100 26400303875 42240486200 52800607750 105601215500 211202431000