Search a number
-
+
7125050100 = 2235276155621
BaseRepresentation
bin1101010001010111…
…11010001011110100
3200101120001001021110
412220223322023310
5104043003100400
63135002315020
7341364632550
oct65053721364
920346031243
107125050100
1130269a5663
12146a1b8a70
138971aa69c
144b83cc860
152ba7bae50
hex1a8afa2f4

7125050100 has 144 divisors (see below), whose sum is σ = 23946828416. Its totient is φ = 1601856000.

The previous prime is 7125050083. The next prime is 7125050111. The reversal of 7125050100 is 10505217.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 100290 + ... + 155910.

Almost surely, 27125050100 is an apocalyptic number.

7125050100 is a gapful number since it is divisible by the number (70) 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 7125050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973414208).

7125050100 is an abundant number, since it is smaller than the sum of its proper divisors (16821778316).

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

7125050100 is a wasteful number, since it uses less digits than its factorization.

7125050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55706 (or 55699 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 7125050100 is about 84410.0118469367. The cubic root of 7125050100 is about 1924.2550758011.

Adding to 7125050100 its reverse (10505217), we get a palindrome (7135555317).

The spelling of 7125050100 in words is "seven billion, one hundred twenty-five million, fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 61 70 75 84 100 105 122 140 150 175 183 210 244 300 305 350 366 420 427 525 610 700 732 854 915 1050 1220 1281 1525 1708 1830 2100 2135 2562 3050 3660 4270 4575 5124 6100 6405 8540 9150 10675 12810 18300 21350 25620 32025 42700 55621 64050 111242 128100 166863 222484 278105 333726 389347 556210 667452 778694 834315 1112420 1168041 1390525 1557388 1668630 1946735 2336082 2781050 3337260 3392881 3893470 4171575 4672164 5562100 5840205 6785762 7786940 8343150 9733675 10178643 11680410 13571524 16686300 16964405 19467350 20357286 23360820 23750167 29201025 33928810 38934700 40714572 47500334 50893215 58402050 67857620 71250501 84822025 95000668 101786430 116804100 118750835 142501002 169644050 203572860 237501670 254466075 285002004 339288100 356252505 475003340 508932150 593754175 712505010 1017864300 1187508350 1425010020 1781262525 2375016700 3562525050 7125050100