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11132032310 = 2571727134519
BaseRepresentation
bin10100101111000010…
…10101010100110110
31001201210212211111222
422113201111110312
5140244300013220
65040342030342
7542601466460
oct122741252466
931653784458
1011132032310
1147a2818703
1221a81183b2
1310853a5189
1477863d130
1545246ee25
hex297855536

11132032310 has 64 divisors (see below), whose sum is σ = 24337428480. Its totient is φ = 3578826240.

The previous prime is 11132032291. The next prime is 11132032319. The reversal of 11132032310 is 1323023111.

11132032310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111320323102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132032319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305231 + ... + 339749.

It is an arithmetic number, because the mean of its divisors is an integer number (380272320).

Almost surely, 211132032310 is an apocalyptic number.

11132032310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11132032310 is an abundant number, since it is smaller than the sum of its proper divisors (13205396170).

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

11132032310 is a wasteful number, since it uses less digits than its factorization.

11132032310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34821.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11132032310 its reverse (1323023111), we get a palindrome (12455055421).

The spelling of 11132032310 in words is "eleven billion, one hundred thirty-two million, thirty-two thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 271 542 595 1190 1355 1897 2710 3794 4607 9214 9485 18970 23035 32249 34519 46070 64498 69038 161245 172595 241633 322490 345190 483266 586823 1173646 1208165 2416330 2934115 4107761 5868230 8215522 9354649 18709298 20538805 41077610 46773245 65482543 93546490 130965086 159029033 318058066 327412715 654825430 795145165 1113203231 1590290330 2226406462 5566016155 11132032310