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211210141320 = 233251734511461
BaseRepresentation
bin1100010010110100011…
…0101111111010001000
3202012011121010212102200
43010231012233322020
511430024244010240
6241010102200200
721154661402523
oct3045506577210
9665147125380
10211210141320
1181634689302
1234b25a23060
1316bbc941aa9
14a318c53bba
1557626c2930
hex312d1afe88

211210141320 has 96 divisors (see below), whose sum is σ = 726811389720. Its totient is φ = 53009602560.

The previous prime is 211210141297. The next prime is 211210141321. The reversal of 211210141320 is 23141012112.

211210141320 is a `hidden beast` number, since 21 + 1 + 210 + 1 + 413 + 20 = 666.

211210141320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 181736805636 + 29473335684 = 426306^2 + 171678^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211210141293 and 211210141302.

It is not an unprimeable number, because it can be changed into a prime (211210141321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17249611 + ... + 17261850.

Almost surely, 2211210141320 is an apocalyptic number.

211210141320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210141320 is an abundant number, since it is smaller than the sum of its proper divisors (515601248400).

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

211210141320 is a wasteful number, since it uses less digits than its factorization.

211210141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34511495 (or 34511488 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211210141320 its reverse (23141012112), we get a palindrome (234351153432).

The spelling of 211210141320 in words is "two hundred eleven billion, two hundred ten million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 34511461 69022922 103534383 138045844 172557305 207068766 276091688 310603149 345114610 414137532 517671915 586694837 621206298 690229220 828275064 1035343830 1173389674 1242412596 1380458440 1553015745 1760084511 2070687660 2346779348 2484825192 2933474185 3106031490 3520169022 4141375320 4693558696 5280253533 5866948370 6212062980 7040338044 8800422555 10560507066 11733896740 12424125960 14080676088 17600845110 21121014132 23467793480 26401267665 35201690220 42242028264 52802535330 70403380440 105605070660 211210141320