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211211033000 = 235311127151189
BaseRepresentation
bin1100010010110100101…
…0001001100110101000
3202012011122211011120212
43010231022021212220
511430030011024000
6241010133240252
721155002105262
oct3045512114650
9665148734525
10211211033000
1181635138230
1234b26193088
1316bbcb94906
14a319006b32
1557627ebc35
hex312d2899a8

211211033000 has 128 divisors (see below), whose sum is σ = 543413145600. Its totient is φ = 76198752000.

The previous prime is 211211032973. The next prime is 211211033017. The reversal of 211211033000 is 330112112.

It is a super-2 number, since 2×2112110330002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1321406 + ... + 1472594.

It is an arithmetic number, because the mean of its divisors is an integer number (4245415200).

Almost surely, 2211211033000 is an apocalyptic number.

211211033000 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 211211033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271706572800).

211211033000 is an abundant number, since it is smaller than the sum of its proper divisors (332202112600).

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

211211033000 is a wasteful number, since it uses less digits than its factorization.

211211033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151348 (or 151334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 211211033000 its reverse (330112112), we get a palindrome (211541145112).

The spelling of 211211033000 in words is "two hundred eleven billion, two hundred eleven million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 127 200 220 250 254 275 440 500 508 550 635 1000 1016 1100 1270 1375 1397 2200 2540 2750 2794 3175 5080 5500 5588 6350 6985 11000 11176 12700 13970 15875 25400 27940 31750 34925 55880 63500 69850 127000 139700 151189 174625 279400 302378 349250 604756 698500 755945 1209512 1397000 1511890 1663079 3023780 3326158 3779725 6047560 6652316 7559450 8315395 13304632 15118900 16630790 18898625 19201003 30237800 33261580 37797250 38402006 41576975 66523160 75594500 76804012 83153950 96005015 151189000 153608024 166307900 192010030 207884875 211211033 332615800 384020060 415769750 422422066 480025075 768040120 831539500 844844132 960050150 1056055165 1663079000 1689688264 1920100300 2112110330 2400125375 3840200600 4224220660 4800250750 5280275825 8448441320 9600501500 10560551650 19201003000 21121103300 26401379125 42242206600 52802758250 105605516500 211211033000