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4101134232 = 23313233531619
BaseRepresentation
bin1111010001110010…
…0101011110011000
3101120211000012112110
43310130211132120
531344342243412
61514541312320
7203426031366
oct36434453630
911524005473
104101134232
111814a8a938
129655656a0
13504871560
142ac95c636
151900a0d3c
hexf4725798

4101134232 has 128 divisors (see below), whose sum is σ = 11561356800. Its totient is φ = 1202860032.

The previous prime is 4101134227. The next prime is 4101134239. The reversal of 4101134232 is 2324311014.

It is a junction number, because it is equal to n+sod(n) for n = 4101134199 and 4101134208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101134239) 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, 2532319 + ... + 2533937.

It is an arithmetic number, because the mean of its divisors is an integer number (90323100).

Almost surely, 24101134232 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 4101134232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780678400).

4101134232 is an abundant number, since it is smaller than the sum of its proper divisors (7460222568).

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

4101134232 is a wasteful number, since it uses less digits than its factorization.

4101134232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4101134232 is about 64040.0986257829. The cubic root of 4101134232 is about 1600.6682406618.

Adding to 4101134232 its reverse (2324311014), we get a palindrome (6425445246).

The spelling of 4101134232 in words is "four billion, one hundred one million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 353 552 598 706 897 1059 1196 1412 1619 1794 2118 2392 2824 3238 3588 4236 4589 4857 6476 7176 8119 8472 9178 9714 12952 13767 16238 18356 19428 21047 24357 27534 32476 36712 37237 38856 42094 48714 55068 63141 64952 74474 84188 97428 105547 110136 111711 126282 148948 168376 194856 211094 223422 252564 297896 316641 422188 446844 484081 505128 571507 633282 844376 893688 968162 1143014 1266564 1452243 1714521 1936324 2286028 2533128 2904486 3429042 3872648 4572056 5808972 6858084 7429591 11617944 13144661 13716168 14859182 22288773 26289322 29718364 39433983 44577546 52578644 59436728 78867966 89155092 105157288 157735932 170880593 178310184 315471864 341761186 512641779 683522372 1025283558 1367044744 2050567116 4101134232