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211372213320 = 233252683218839
BaseRepresentation
bin1100010011011011000…
…1000000010001001000
3202012120220002222102100
43010312301000101020
511430342241311240
6241034132033400
721162000111612
oct3046661002110
9665526088370
10211372213320
1181708116404
1234b70162860
1316c173a9698
14a3325a1db2
155771a38e30
hex3136c40448

211372213320 has 96 divisors (see below), whose sum is σ = 687218875200. Its totient is φ = 56344657536.

The previous prime is 211372213307. The next prime is 211372213331. The reversal of 211372213320 is 23312273112.

211372213320 is a `hidden beast` number, since 2 + 113 + 7 + 221 + 3 + 320 = 666.

It is a super-3 number, since 3×2113722133203 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856461 + ... + 1075299.

It is an arithmetic number, because the mean of its divisors is an integer number (7158529950).

Almost surely, 2211372213320 is an apocalyptic number.

211372213320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211372213320 is an abundant number, since it is smaller than the sum of its proper divisors (475846661880).

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

211372213320 is a wasteful number, since it uses less digits than its factorization.

211372213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221539 (or 221532 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 211372213320 its reverse (23312273112), we get a palindrome (234684486432).

The spelling of 211372213320 in words is "two hundred eleven billion, three hundred seventy-two million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2683 5366 8049 10732 13415 16098 21464 24147 26830 32196 40245 48294 53660 64392 80490 96588 107320 120735 160980 193176 218839 241470 321960 437678 482940 656517 875356 965880 1094195 1313034 1750712 1969551 2188390 2626068 3282585 3939102 4376780 5252136 6565170 7878204 8753560 9847755 13130340 15756408 19695510 26260680 39391020 78782040 587145037 1174290074 1761435111 2348580148 2935725185 3522870222 4697160296 5284305333 5871450370 7045740444 8807175555 10568610666 11742900740 14091480888 17614351110 21137221332 23485801480 26421526665 35228702220 42274442664 52843053330 70457404440 105686106660 211372213320