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113222400104 = 2311231074311213
BaseRepresentation
bin110100101110010010…
…1001011100001101000
3101211020122220212022002
41221130211023201220
53323334413300404
6124002540550132
711115520343642
oct1513445134150
9354218825262
10113222400104
1144021102aa0
1219b39b52348
13a8a4cac428
1456a115d892
152e29e6cc1e
hex1a5c94b868

113222400104 has 128 divisors (see below), whose sum is σ = 244686458880. Its totient is φ = 48613804800.

The previous prime is 113222400103. The next prime is 113222400113. The reversal of 113222400104 is 401004222311.

It is not an unprimeable number, because it can be changed into a prime (113222400103) 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, 93340202 + ... + 93341414.

It is an arithmetic number, because the mean of its divisors is an integer number (1911612960).

Almost surely, 2113222400104 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 113222400104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122343229440).

113222400104 is an abundant number, since it is smaller than the sum of its proper divisors (131464058776).

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

113222400104 is a wasteful number, since it uses less digits than its factorization.

113222400104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 113222400104 its reverse (401004222311), we get a palindrome (514226622415).

The spelling of 113222400104 in words is "one hundred thirteen billion, two hundred twenty-two million, four hundred thousand, one hundred four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 107 184 214 253 428 431 506 856 862 1012 1177 1213 1724 2024 2354 2426 2461 3448 4708 4741 4852 4922 9416 9482 9704 9844 9913 13343 18964 19688 19826 26686 27071 27899 37928 39652 46117 53372 54142 55798 79304 92234 106744 108284 109043 111596 129791 184468 216568 218086 223192 259582 306889 368936 436172 507287 519164 522803 613778 872344 1014574 1038328 1045606 1060691 1227556 1427701 2029148 2091212 2121382 2455112 2855402 2985193 4058296 4182424 4242764 5710804 5750833 5970386 8485528 11421608 11501666 11667601 11940772 12024469 23003332 23335202 23881544 24048938 32837123 46006664 46670404 48097876 55939921 65674246 93340808 96195752 111879842 131348492 132269159 223759684 262696984 264538318 447519368 529076636 615339131 1058153272 1230678262 1286618183 2461356524 2573236366 4922713048 5146472732 10292945464 14152800013 28305600026 56611200052 113222400104