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211132213000 = 2353268978517
BaseRepresentation
bin1100010010100001110…
…1011110011100001000
3202011222011111200212121
43010220131132130020
511424344321304000
6240554240021024
721153024125332
oct3045035363410
9664864450777
10211132213000
11815a46a2635
1234b03901774
1316ba9758667
14a30c76a452
15575a92cb1a
hex312875e708

211132213000 has 64 divisors (see below), whose sum is σ = 494239402800. Its totient is φ = 84420403200.

The previous prime is 211132212923. The next prime is 211132213027. The reversal of 211132213000 is 312231112.

It can be written as a sum of positive squares in 8 ways, for example, as 6956560836 + 204175652164 = 83406^2 + 451858^2 .

It is a super-2 number, since 2×2111322130002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2649742 + ... + 2728258.

Almost surely, 2211132213000 is an apocalyptic number.

211132213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211132213000 is an abundant number, since it is smaller than the sum of its proper divisors (283107189800).

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

211132213000 is a wasteful number, since it uses less digits than its factorization.

211132213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81227 (or 81213 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 211132213000 its reverse (312231112), we get a palindrome (211444444112).

The spelling of 211132213000 in words is "two hundred eleven billion, one hundred thirty-two million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2689 5378 10756 13445 21512 26890 53780 67225 78517 107560 134450 157034 268900 314068 336125 392585 537800 628136 672250 785170 1344500 1570340 1962925 2689000 3140680 3925850 7851700 9814625 15703400 19629250 39258500 78517000 211132213 422264426 844528852 1055661065 1689057704 2111322130 4222644260 5278305325 8445288520 10556610650 21113221300 26391526625 42226442600 52783053250 105566106500 211132213000