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211235532112 = 2411176710110433
BaseRepresentation
bin1100010010111010011…
…1100110110101010000
3202012020100220212001101
43010232213212311100
511430102244011422
6241012410314144
721155420253253
oct3045647466520
9665210825041
10211235532112
1181647a50830
1234b32428954
1316bc4c91b27
14a31c38309a
155764a3ac27
hex312e9e6d50

211235532112 has 160 divisors (see below), whose sum is σ = 484591019904. Its totient is φ = 88129536000.

The previous prime is 211235532097. The next prime is 211235532121.

211235532112 is nontrivially palindromic in base 10.

211235532112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20241648 + ... + 20252080.

Almost surely, 2211235532112 is an apocalyptic number.

211235532112 is a gapful number since it is divisible by the number (22) 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 211235532112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242295509952).

211235532112 is an abundant number, since it is smaller than the sum of its proper divisors (273355487792).

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

211235532112 is a wasteful number, since it uses less digits than its factorization.

211235532112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10637 (or 10631 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

It can be divided in two parts, 211235 and 532112, that added together give a palindrome (743347).

The spelling of 211235532112 in words is "two hundred eleven billion, two hundred thirty-five million, five hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 44 67 68 88 101 134 136 176 187 202 268 272 374 404 536 737 748 808 1072 1111 1139 1474 1496 1616 1717 2222 2278 2948 2992 3434 4444 4556 5896 6767 6868 8888 9112 10433 11792 12529 13534 13736 17776 18224 18887 20866 25058 27068 27472 37774 41732 50116 54136 74437 75548 83464 100232 108272 114763 115039 148874 151096 166928 177361 200464 229526 230078 297748 302192 354722 459052 460156 595496 699011 709444 918104 920312 1053733 1190992 1265429 1398022 1418888 1836208 1840624 1950971 2107466 2530858 2796044 2837776 3901942 4214932 5061716 5592088 7689121 7803884 8429864 10123432 11184176 11591063 11883187 15378242 15607768 16859728 17913461 20246864 23182126 23766374 30756484 31215536 35826922 46364252 47532748 61512968 70600111 71653844 92728504 95065496 123025936 130715057 141200222 143307688 185457008 190130992 197048071 261430114 282400444 286615376 394096142 522860228 564800888 776601221 788192284 1045720456 1129601776 1200201887 1553202442 1576384568 2091440912 2400403774 3106404884 3152769136 4800807548 6212809768 9601615096 12425619536 13202220757 19203230192 26404441514 52808883028 105617766056 211235532112