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11312121304 = 2311477393701
BaseRepresentation
bin10101000100100000…
…10100010111011000
31002012100202022011201
422202100110113120
5141131400340204
65110254003544
7550216305331
oct124220242730
932170668151
1011312121304
114885441190
1222384a65b4
1310b37aa703
1479451b288
154631949a4
hex2a24145d8

11312121304 has 64 divisors (see below), whose sum is σ = 23669107200. Its totient is φ = 5024304000.

The previous prime is 11312121299. The next prime is 11312121313. The reversal of 11312121304 is 40312121311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3054654 + ... + 3058354.

It is an arithmetic number, because the mean of its divisors is an integer number (369829800).

Almost surely, 211312121304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312121304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11834553600).

11312121304 is an abundant number, since it is smaller than the sum of its proper divisors (12356985896).

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

11312121304 is a wasteful number, since it uses less digits than its factorization.

11312121304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4504 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11312121304 its reverse (40312121311), we get a palindrome (51624242615).

The spelling of 11312121304 in words is "eleven billion, three hundred twelve million, one hundred twenty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 739 1034 1478 2068 2956 3701 4136 5912 7402 8129 14804 16258 29608 32516 34733 40711 65032 69466 81422 138932 162844 173947 277864 325688 347894 382063 695788 764126 1391576 1528252 1913417 2735039 3056504 3826834 5470078 7653668 10940156 15307336 21880312 30085429 60170858 120341716 128546833 240683432 257093666 514187332 1028374664 1414015163 2828030326 5656060652 11312121304