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1223104120 = 235723257739
BaseRepresentation
bin100100011100111…
…0001011001111000
310011020111010102121
41020321301121320
510001103312440
6321211211024
742211133140
oct11071613170
93136433377
101223104120
11578457257
122a1746a74
13166523764
14b8625920
15725a134a
hex48e71678

1223104120 has 128 divisors (see below), whose sum is σ = 3299097600. Its totient is φ = 399015936.

The previous prime is 1223104109. The next prime is 1223104121. The reversal of 1223104120 is 214013221.

It is a junction number, because it is equal to n+sod(n) for n = 1223104094 and 1223104103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223104121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1654711 + ... + 1655449.

It is an arithmetic number, because the mean of its divisors is an integer number (25774200).

Almost surely, 21223104120 is an apocalyptic number.

1223104120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649548800).

1223104120 is an abundant number, since it is smaller than the sum of its proper divisors (2075993480).

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

1223104120 is a wasteful number, since it uses less digits than its factorization.

1223104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1223104120 is about 34972.9055126965. The cubic root of 1223104120 is about 1069.4352042999.

Adding to 1223104120 its reverse (214013221), we get a palindrome (1437117341).

The spelling of 1223104120 in words is "one billion, two hundred twenty-three million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 257 280 322 460 514 644 739 805 920 1028 1285 1288 1478 1610 1799 2056 2570 2956 3220 3598 3695 5140 5173 5911 5912 6440 7196 7390 8995 10280 10346 11822 14392 14780 16997 17990 20692 23644 25865 29555 29560 33994 35980 41377 41384 47288 51730 59110 67988 71960 82754 84985 103460 118220 118979 135976 165508 169970 189923 206885 206920 236440 237958 331016 339940 379846 413770 475916 594895 679880 759692 827540 949615 951832 1189790 1329461 1519384 1655080 1899230 2379580 2658922 3798460 4368229 4759160 5317844 6647305 7596920 8736458 10635688 13294610 17472916 21841145 26589220 30577603 34945832 43682290 53178440 61155206 87364580 122310412 152888015 174729160 244620824 305776030 611552060 1223104120