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4125111320 = 2351123939227
BaseRepresentation
bin1111010111100000…
…0011010000011000
3101122111010100220202
43311320003100120
531422012030240
61521155241332
7204136603421
oct36570032030
911574110822
104125111320
111827577210
129715a9248
13509817c95
142b1c00648
1519223a315
hexf5e03418

4125111320 has 64 divisors (see below), whose sum is σ = 10167897600. Its totient is φ = 1493726080.

The previous prime is 4125111313. The next prime is 4125111343. The reversal of 4125111320 is 231115214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4125111292 and 4125111301.

It is a congruent number.

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, 85547 + ... + 124773.

It is an arithmetic number, because the mean of its divisors is an integer number (158873400).

Almost surely, 24125111320 is an apocalyptic number.

4125111320 is a gapful number since it is divisible by the number (40) 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 4125111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083948800).

4125111320 is an abundant number, since it is smaller than the sum of its proper divisors (6042786280).

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

4125111320 is a wasteful number, since it uses less digits than its factorization.

4125111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39488 (or 39484 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 4125111320 is about 64227.0295125035. The cubic root of 4125111320 is about 1603.7815916448.

Adding to 4125111320 its reverse (231115214), we get a palindrome (4356226534).

The spelling of 4125111320 in words is "four billion, one hundred twenty-five million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 239 440 478 956 1195 1912 2390 2629 4780 5258 9560 10516 13145 21032 26290 39227 52580 78454 105160 156908 196135 313816 392270 431497 784540 862994 1569080 1725988 2157485 3451976 4314970 8629940 9375253 17259880 18750506 37501012 46876265 75002024 93752530 103127783 187505060 206255566 375010120 412511132 515638915 825022264 1031277830 2062555660 4125111320