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5202217100 = 22521910127109
BaseRepresentation
bin1001101100001001…
…11000100010001100
3111102112220000021102
410312010320202030
541123231421400
62220113322232
7242626054463
oct46604704214
914375800242
105202217100
11222a574783
121012266378
1364ba11092
14374c9d9da
15206a9c9d5
hex13613888c

5202217100 has 72 divisors (see below), whose sum is σ = 12001054800. Its totient is φ = 1951776000.

The previous prime is 5202217091. The next prime is 5202217103. The reversal of 5202217100 is 17122025.

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

It is not an unprimeable number, because it can be changed into a prime (5202217103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178346 + ... + 205454.

Almost surely, 25202217100 is an apocalyptic number.

5202217100 is a gapful number since it is divisible by the number (50) 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 5202217100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000527400).

5202217100 is an abundant number, since it is smaller than the sum of its proper divisors (6798837700).

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

5202217100 is a wasteful number, since it uses less digits than its factorization.

5202217100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27243 (or 27236 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 5202217100 is about 72126.3966935823. The cubic root of 5202217100 is about 1732.7243986093.

Adding to 5202217100 its reverse (17122025), we get a palindrome (5219339125).

The spelling of 5202217100 in words is "five billion, two hundred two million, two hundred seventeen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 101 190 202 380 404 475 505 950 1010 1900 1919 2020 2525 3838 5050 7676 9595 10100 19190 27109 38380 47975 54218 95950 108436 135545 191900 271090 515071 542180 677725 1030142 1355450 2060284 2575355 2710900 2738009 5150710 5476018 10301420 10952036 12876775 13690045 25753550 27380090 51507100 52022171 54760180 68450225 104044342 136900450 208088684 260110855 273800900 520221710 1040443420 1300554275 2601108550 5202217100