Search a number
-
+
4121113032 = 233341479901
BaseRepresentation
bin1111010110100011…
…0011000111001000
3101122012121020022000
43311220303013020
531420001104112
61520533431000
7204060611541
oct36550630710
911565536260
104121113032
111825296243
1297019b460
13508a4812a
142b147d4c8
15191bea7dc
hexf5a331c8

4121113032 has 128 divisors (see below), whose sum is σ = 11977459200. Its totient is φ = 1311552000.

The previous prime is 4121113013. The next prime is 4121113037. The reversal of 4121113032 is 2303111214.

4121113032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4121112996 and 4121113014.

It is not an unprimeable number, because it can be changed into a prime (4121113037) 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, 411282 + ... + 421182.

It is an arithmetic number, because the mean of its divisors is an integer number (93573900).

Almost surely, 24121113032 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 4121113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988729600).

4121113032 is an abundant number, since it is smaller than the sum of its proper divisors (7856346168).

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

4121113032 is a wasteful number, since it uses less digits than its factorization.

4121113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10004 (or 9994 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4121113032 is about 64195.8957566603. The cubic root of 4121113032 is about 1603.2632659515.

Adding to 4121113032 its reverse (2303111214), we get a palindrome (6424224246).

The spelling of 4121113032 in words is "four billion, one hundred twenty-one million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 47 54 72 82 94 108 123 141 164 188 216 246 282 328 369 376 423 492 564 738 846 984 1107 1128 1269 1476 1692 1927 2214 2538 2952 3384 3854 4428 5076 5781 7708 8856 9901 10152 11562 15416 17343 19802 23124 29703 34686 39604 46248 52029 59406 69372 79208 89109 104058 118812 138744 178218 208116 237624 267327 356436 405941 416232 465347 534654 712872 811882 930694 1069308 1217823 1396041 1623764 1861388 2138616 2435646 2792082 3247528 3653469 3722776 4188123 4871292 5584164 7306938 8376246 9742584 10960407 11168328 12564369 14613876 16752492 19079227 21920814 25128738 29227752 33504984 38158454 43841628 50257476 57237681 76316908 87683256 100514952 114475362 152633816 171713043 228950724 343426086 457901448 515139129 686852172 1030278258 1373704344 2060556516 4121113032