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211433411320 = 23519219877369
BaseRepresentation
bin1100010011101001101…
…0011101001011111000
3202012202011021011021221
43010322122131023320
511431003423130240
6241044155441424
721163342225465
oct3047232351370
9665664234257
10211433411320
118173971536a
1234b88756274
1316c26c85a11
14a33a77266c
1557770c6a4a
hex313a69d2f8

211433411320 has 96 divisors (see below), whose sum is σ = 502401992400. Its totient is φ = 80070944256.

The previous prime is 211433411297. The next prime is 211433411353. The reversal of 211433411320 is 23114334112.

It is a congruent number.

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, 28688596 + ... + 28695964.

Almost surely, 2211433411320 is an apocalyptic number.

211433411320 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 211433411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251200996200).

211433411320 is an abundant number, since it is smaller than the sum of its proper divisors (290968581080).

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

211433411320 is a wasteful number, since it uses less digits than its factorization.

211433411320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9405 (or 9382 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 211433411320 its reverse (23114334112), we get a palindrome (234547745432).

The spelling of 211433411320 in words is "two hundred eleven billion, four hundred thirty-three million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 1987 2888 3610 3974 7220 7369 7948 9935 14440 14738 15896 19870 29476 36845 37753 39740 58952 73690 75506 79480 140011 147380 151012 188765 280022 294760 302024 377530 560044 700055 717307 755060 1120088 1400110 1434614 1510120 2660209 2800220 2869228 3586535 5320418 5600440 5738456 7173070 10640836 13301045 14346140 14642203 21281672 26602090 28692280 29284406 53204180 58568812 73211015 106408360 117137624 146422030 278201857 292844060 556403714 585688120 1112807428 1391009285 2225614856 2782018570 5285835283 5564037140 10571670566 11128074280 21143341132 26429176415 42286682264 52858352830 105716705660 211433411320