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211331132320 = 25571117153501
BaseRepresentation
bin1100010011010001010…
…0010010101110100000
3202012111000210211212211
43010310110102232200
511430301232213240
6241030103331504
721160660662130
oct3046424225640
9665430724784
10211331132320
1181696a07670
1234b5a450b94
1316c0ba24ab9
14a32ad4aac0
15576d121bea
hex3134512ba0

211331132320 has 96 divisors (see below), whose sum is σ = 622466280576. Its totient is φ = 65869440000.

The previous prime is 211331132273. The next prime is 211331132351. The reversal of 211331132320 is 23231133112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211331132291 and 211331132300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8564431 + ... + 8589070.

It is an arithmetic number, because the mean of its divisors is an integer number (6484023756).

Almost surely, 2211331132320 is an apocalyptic number.

211331132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211331132320 is an abundant number, since it is smaller than the sum of its proper divisors (411135148256).

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

211331132320 is a wasteful number, since it uses less digits than its factorization.

211331132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17153534 (or 17153526 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 211331132320 its reverse (23231133112), we get a palindrome (234562265432).

The spelling of 211331132320 in words is "two hundred eleven billion, three hundred thirty-one million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 17153501 34307002 68614004 85767505 120074507 137228008 171535010 188688511 240149014 274456016 343070020 377377022 480298028 548912032 600372535 686140040 754754044 943442555 960596056 1200745070 1320819577 1372280080 1509508088 1886885110 1921192112 2401490140 2641639154 2744560160 3019016176 3773770220 3842384224 4802980280 5283278308 6038032352 6604097885 7547540440 9605960560 10566556616 13208195770 15095080880 19211921120 21133113232 26416391540 30190161760 42266226464 52832783080 105665566160 211331132320