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4124001300 = 22352193123339
BaseRepresentation
bin1111010111001111…
…0100010000010100
3101122102000222020220
43311303310100110
531421221020200
61521115354340
7204124301256
oct36563642024
911572028226
104124001300
111826989241
129711529b0
13509519973
142b19d1cd6
151920bb4a0
hexf5cf4414

4124001300 has 144 divisors (see below), whose sum is σ = 12965836800. Its totient is φ = 1008201600.

The previous prime is 4124001247. The next prime is 4124001311. The reversal of 4124001300 is 31004214.

4124001300 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4124001300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165031 + ... + 188369.

Almost surely, 24124001300 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 4124001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6482918400).

4124001300 is an abundant number, since it is smaller than the sum of its proper divisors (8841835500).

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

4124001300 is a wasteful number, since it uses less digits than its factorization.

4124001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23406 (or 23399 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4124001300 is about 64218.3875537217. The cubic root of 4124001300 is about 1603.6377256811.

Adding to 4124001300 its reverse (31004214), we get a palindrome (4155005514).

The spelling of 4124001300 in words is "four billion, one hundred twenty-four million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 31 38 50 57 60 62 75 76 93 95 100 114 124 150 155 186 190 228 285 300 310 372 380 465 475 570 589 620 775 930 950 1140 1178 1425 1550 1767 1860 1900 2325 2356 2850 2945 3100 3534 4650 5700 5890 7068 8835 9300 11780 14725 17670 23339 29450 35340 44175 46678 58900 70017 88350 93356 116695 140034 176700 233390 280068 350085 443441 466780 583475 700170 723509 886882 1166950 1330323 1400340 1447018 1750425 1773764 2170527 2217205 2333900 2660646 2894036 3500850 3617545 4341054 4434410 5321292 6651615 7001700 7235090 8682108 8868820 10852635 11086025 13303230 13746671 14470180 18087725 21705270 22172050 26606460 27493342 33258075 36175450 41240013 43410540 44344100 54263175 54986684 66516150 68733355 72350900 82480026 108526350 133032300 137466710 164960052 206200065 217052700 274933420 343666775 412400130 687333550 824800260 1031000325 1374667100 2062000650 4124001300