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211324310000 = 2454191110641
BaseRepresentation
bin1100010011001111101…
…0010001000111110000
3202012110112222020102022
43010303322101013300
511430243010410000
6241025301211012
721160545666026
oct3046372210760
9665415866368
10211324310000
1181693077991
1234b58100a68
1316c0a4a671b
14a32a092716
15576c725585
hex3133e911f0

211324310000 has 100 divisors (see below), whose sum is σ = 514320664704. Its totient is φ = 84086400000.

The previous prime is 211324309951. The next prime is 211324310051. The reversal of 211324310000 is 13423112.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×2113243100002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1854680 + ... + 1965320.

Almost surely, 2211324310000 is an apocalyptic number.

211324310000 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 211324310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257160332352).

211324310000 is an abundant number, since it is smaller than the sum of its proper divisors (302996354704).

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

211324310000 is a wasteful number, since it uses less digits than its factorization.

211324310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110860 (or 110839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 211324310000 its reverse (13423112), we get a palindrome (211337733112).

The spelling of 211324310000 in words is "two hundred eleven billion, three hundred twenty-four million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 191 200 250 382 400 500 625 764 955 1000 1250 1528 1910 2000 2500 3056 3820 4775 5000 7640 9550 10000 15280 19100 23875 38200 47750 76400 95500 110641 119375 191000 221282 238750 382000 442564 477500 553205 885128 955000 1106410 1770256 1910000 2212820 2766025 4425640 5532050 8851280 11064100 13830125 21132431 22128200 27660250 42264862 44256400 55320500 69150625 84529724 105662155 110641000 138301250 169059448 211324310 221282000 276602500 338118896 422648620 528310775 553205000 845297240 1056621550 1106410000 1690594480 2113243100 2641553875 4226486200 5283107750 8452972400 10566215500 13207769375 21132431000 26415538750 42264862000 52831077500 105662155000 211324310000