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4101254124 = 22311294192557
BaseRepresentation
bin1111010001110100…
…0010101111101100
3101120211020021222220
43310131002233230
531344410112444
61514544035340
7203430041052
oct36435025754
911524207886
104101254124
111815061a20
12965602b50
135048b3cb6
142ac9901d2
151900c6619
hexf4742bec

4101254124 has 96 divisors (see below), whose sum is σ = 10829548800. Its totient is φ = 1196616960.

The previous prime is 4101254081. The next prime is 4101254137. The reversal of 4101254124 is 4214521014.

It is a junction number, because it is equal to n+sod(n) for n = 4101254094 and 4101254103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1602654 + ... + 1605210.

It is an arithmetic number, because the mean of its divisors is an integer number (112807800).

Almost surely, 24101254124 is an apocalyptic number.

4101254124 is a gapful number since it is divisible by the number (44) 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 4101254124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414774400).

4101254124 is an abundant number, since it is smaller than the sum of its proper divisors (6728294676).

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

4101254124 is a wasteful number, since it uses less digits than its factorization.

4101254124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 4101254124 is about 64041.0346887056. The cubic root of 4101254124 is about 1600.6838384157.

Adding to 4101254124 its reverse (4214521014), we get a palindrome (8315775138).

The spelling of 4101254124 in words is "four billion, one hundred one million, two hundred fifty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 419 638 838 957 1257 1276 1676 1914 2514 2557 3828 4609 5028 5114 7671 9218 10228 12151 13827 15342 18436 24302 27654 28127 30684 36453 48604 55308 56254 72906 74153 84381 112508 133661 145812 148306 168762 222459 267322 296612 337524 400983 444918 534644 801966 815683 889836 1071383 1603932 1631366 2142766 2447049 3214149 3262732 4285532 4894098 6428298 9788196 11785213 12856596 23570426 31070107 35355639 47140852 62140214 70711278 93210321 124280428 141422556 186420642 341771177 372841284 683542354 1025313531 1367084708 2050627062 4101254124