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211123011320 = 235133123954799
BaseRepresentation
bin1100010010011111101…
…0010111111011111000
3202011221112012012112122
43010213322113323320
511424334442330240
6240553310500412
721152552662304
oct3044772277370
9664845165478
10211123011320
118159a488241
1234b00804708
1316ba7886290
14a30b452d04
155759c114b5
hex3127e97ef8

211123011320 has 128 divisors (see below), whose sum is σ = 530288640000. Its totient is φ = 75121482240.

The previous prime is 211123011317. The next prime is 211123011343. The reversal of 211123011320 is 23110321112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3825281 + ... + 3880079.

It is an arithmetic number, because the mean of its divisors is an integer number (4142880000).

Almost surely, 2211123011320 is an apocalyptic number.

211123011320 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 211123011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265144320000).

211123011320 is an abundant number, since it is smaller than the sum of its proper divisors (319165628680).

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

211123011320 is a wasteful number, since it uses less digits than its factorization.

211123011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55093 (or 55089 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211123011320 its reverse (23110321112), we get a palindrome (234233332432).

The spelling of 211123011320 in words is "two hundred eleven billion, one hundred twenty-three million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 239 248 260 310 403 478 520 620 806 956 1195 1240 1612 1912 2015 2390 3107 3224 4030 4780 6214 7409 8060 9560 12428 14818 15535 16120 24856 29636 31070 37045 54799 59272 62140 74090 96317 109598 124280 148180 192634 219196 273995 296360 385268 438392 481585 547990 712387 770536 963170 1095980 1424774 1698769 1926340 2191960 2849548 3397538 3561935 3852680 5699096 6795076 7123870 8493845 13096961 13590152 14247740 16987690 22083997 26193922 28495480 33975380 44167994 52387844 65484805 67950760 88335988 104775688 110419985 130969610 170260493 176671976 220839970 261939220 340520986 406005791 441679940 523878440 681041972 812011582 851302465 883359880 1362083944 1624023164 1702604930 2030028955 3248046328 3405209860 4060057910 5278075283 6810419720 8120115820 10556150566 16240231640 21112301132 26390376415 42224602264 52780752830 105561505660 211123011320