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11123233102120 = 2351409445744281
BaseRepresentation
bin1010000111011101010001…
…0110111001100100101000
31110101101000020110220010211
42201313110112321210220
52424220340133231440
635353535344350504
72225425041234406
oct241672426714450
943341006426124
1011123233102120
1135a9378116557
1212b7910315434
13628bbb399ba9
142a6520042476
1514451a3eaeea
hexa1dd45b9928

11123233102120 has 64 divisors (see below), whose sum is σ = 25051221896400. Its totient is φ = 4445037527040.

The previous prime is 11123233102117. The next prime is 11123233102139. The reversal of 11123233102120 is 2120133232111.

It can be written as a sum of positive squares in 8 ways, for example, as 1172148344964 + 9951084757156 = 1082658^2 + 3154534^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11123233102091 and 11123233102100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251174380 + ... + 251218660.

Almost surely, 211123233102120 is an apocalyptic number.

11123233102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123233102120 is an abundant number, since it is smaller than the sum of its proper divisors (13927988794280).

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

11123233102120 is a wasteful number, since it uses less digits than its factorization.

11123233102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50158 (or 50154 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11123233102120 its reverse (2120133232111), we get a palindrome (13243366334231).

The spelling of 11123233102120 in words is "eleven trillion, one hundred twenty-three billion, two hundred thirty-three million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1409 2818 4457 5636 7045 8914 11272 14090 17828 22285 28180 35656 44281 44570 56360 88562 89140 177124 178280 221405 354248 442810 885620 1771240 6279913 12559826 25119652 31399565 50239304 62391929 62799130 124783858 125598260 197360417 249567716 251196520 311959645 394720834 499135432 623919290 789441668 986802085 1247838580 1578883336 1973604170 2495677160 3947208340 7894416680 278080827553 556161655106 1112323310212 1390404137765 2224646620424 2780808275530 5561616551060 11123233102120