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2111532320 = 255192139263
BaseRepresentation
bin111110111011011…
…0110110100100000
312110011012221210202
41331312312310200
513311023013240
6545305244332
7103216504622
oct17566666440
95404187722
102111532320
119939a5537
124ab1936a8
132785c8011
1416060cc12
15c5594315
hex7ddb6d20

2111532320 has 144 divisors (see below), whose sum is σ = 5322905280. Its totient is φ = 791382528.

The previous prime is 2111532307. The next prime is 2111532331. The reversal of 2111532320 is 232351112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2111532292 and 2111532301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8028509 + ... + 8028771.

It is an arithmetic number, because the mean of its divisors is an integer number (36964620).

Almost surely, 22111532320 is an apocalyptic number.

2111532320 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 2111532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661452640).

2111532320 is an abundant number, since it is smaller than the sum of its proper divisors (3211372960).

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

2111532320 is a wasteful number, since it uses less digits than its factorization.

2111532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2111532320 is about 45951.4126007025. The cubic root of 2111532320 is about 1282.9190217460.

Adding to 2111532320 its reverse (232351112), we get a palindrome (2343883432).

It can be divided in two parts, 21115 and 32320, that added together give a palindrome (53435).

The spelling of 2111532320 in words is "two billion, one hundred eleven million, five hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 139 152 160 190 263 278 304 361 380 526 556 608 695 722 760 1052 1112 1315 1390 1444 1520 1805 2104 2224 2630 2641 2780 2888 3040 3610 4208 4448 4997 5260 5282 5560 5776 7220 8416 9994 10520 10564 11120 11552 13205 14440 19988 21040 21128 22240 24985 26410 28880 36557 39976 42080 42256 49970 50179 52820 57760 73114 79952 84512 94943 99940 100358 105640 146228 159904 182785 189886 199880 200716 211280 250895 292456 365570 379772 399760 401432 422560 474715 501790 584912 694583 731140 759544 799520 802864 949430 1003580 1169824 1389166 1462280 1519088 1605728 1898860 2007160 2778332 2924560 3038176 3472915 3797720 4014320 5556664 5849120 6945830 7595440 8028640 11113328 13197077 13891660 15190880 22226656 26394154 27783320 52788308 55566640 65985385 105576616 111133280 131970770 211153232 263941540 422306464 527883080 1055766160 2111532320