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11211132310 = 2574710133739
BaseRepresentation
bin10100111000011110…
…00100110110010110
31001221022201112022121
422130033010312112
5140430022213220
65052245250154
7544552023640
oct123417046626
931838645277
1011211132310
114833434704
12220a70395a
1310988aba01
14784d4d890
15459396eaa
hex29c3c4d96

11211132310 has 64 divisors (see below), whose sum is σ = 23787509760. Its totient is φ = 3724675200.

The previous prime is 11211132287. The next prime is 11211132337. The reversal of 11211132310 is 1323111211.

It is a happy number.

11211132310 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 2×112111323102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 315421 + ... + 349159.

It is an arithmetic number, because the mean of its divisors is an integer number (371679840).

Almost surely, 211211132310 is an apocalyptic number.

11211132310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11211132310 is an abundant number, since it is smaller than the sum of its proper divisors (12576377450).

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

11211132310 is a wasteful number, since it uses less digits than its factorization.

11211132310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33901.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11211132310 its reverse (1323111211), we get a palindrome (12534243521).

The spelling of 11211132310 in words is "eleven billion, two hundred eleven million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 47 70 94 101 202 235 329 470 505 658 707 1010 1414 1645 3290 3535 4747 7070 9494 23735 33229 33739 47470 66458 67478 166145 168695 236173 332290 337390 472346 1180865 1585733 2361730 3171466 3407639 6815278 7928665 11100131 15857330 17038195 22200262 23853473 34076390 47706946 55500655 111001310 119267365 160159033 238534730 320318066 800795165 1121113231 1601590330 2242226462 5605566155 11211132310