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211132322000 = 2453433317417
BaseRepresentation
bin1100010010100001110…
…1111001000011010000
3202011222011201020101122
43010220131321003100
511424344333301000
6240554242221412
721153025061165
oct3045035710320
9664864636348
10211132322000
11815a4767516
1234b03954868
1316ba9796162
14a30c79806c
15575a950085
hex31287790d0

211132322000 has 160 divisors (see below), whose sum is σ = 524039328384. Its totient is φ = 82228608000.

The previous prime is 211132321993. The next prime is 211132322039. The reversal of 211132322000 is 223231112.

It is a super-2 number, since 2×2111323220002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211132322000.

It is a congruent number.

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, 28462292 + ... + 28469708.

Almost surely, 2211132322000 is an apocalyptic number.

211132322000 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 211132322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262019664192).

211132322000 is an abundant number, since it is smaller than the sum of its proper divisors (312907006384).

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

211132322000 is a wasteful number, since it uses less digits than its factorization.

211132322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7814 (or 7798 counting only the distinct ones).

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

Adding to 211132322000 its reverse (223231112), we get a palindrome (211355553112).

The spelling of 211132322000 in words is "two hundred eleven billion, one hundred thirty-two million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 331 344 400 430 500 662 688 860 1000 1075 1324 1655 1720 2000 2150 2648 3310 3440 4300 5296 5375 6620 7417 8275 8600 10750 13240 14233 14834 16550 17200 21500 26480 28466 29668 33100 37085 41375 43000 56932 59336 66200 71165 74170 82750 86000 113864 118672 132400 142330 148340 165500 185425 227728 284660 296680 318931 331000 355825 370850 569320 593360 637862 662000 711650 741700 927125 1138640 1275724 1423300 1483400 1594655 1779125 1854250 2455027 2551448 2846600 2966800 3189310 3558250 3708500 4910054 5102896 5693200 6378620 7116500 7417000 7973275 9820108 12275135 12757240 14233000 14834000 15946550 19640216 24550270 25514480 28466000 31893100 39280432 39866375 49100540 61375675 63786200 79732750 98201080 105566161 122751350 127572400 159465500 196402160 211132322 245502700 306878375 318931000 422264644 491005400 527830805 613756750 637862000 844529288 982010800 1055661610 1227513500 1689058576 2111323220 2455027000 2639154025 4222646440 4910054000 5278308050 8445292880 10556616100 13195770125 21113232200 26391540250 42226464400 52783080500 105566161000 211132322000