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5101035200 = 265213124337
BaseRepresentation
bin1001100000000101…
…11001111011000000
3111011111111102210122
410300002321323000
540421331111300
62202100515412
7240260040512
oct46002717300
914144442718
105101035200
112188446278
12ba43abb68
13633a75631
14365681bb2
151ecc62c85
hex1300b9ec0

5101035200 has 84 divisors (see below), whose sum is σ = 12648069192. Its totient is φ = 2024755200.

The previous prime is 5101035193. The next prime is 5101035209. The reversal of 5101035200 is 25301015.

It is a super-2 number, since 2×51010352002 = 52041120223278080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5101035209) 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 11 ways as a sum of consecutive naturals, for example, 197432 + ... + 221768.

Almost surely, 25101035200 is an apocalyptic number.

5101035200 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 5101035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324034596).

5101035200 is an abundant number, since it is smaller than the sum of its proper divisors (7547033992).

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

5101035200 is a wasteful number, since it uses less digits than its factorization.

5101035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24490 (or 24475 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5101035200 is about 71421.5317673879. The cubic root of 5101035200 is about 1721.4170762723.

Adding to 5101035200 its reverse (25301015), we get a palindrome (5126336215).

The spelling of 5101035200 in words is "five billion, one hundred one million, thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 131 160 200 262 320 400 524 655 800 1048 1310 1600 2096 2620 3275 4192 5240 6550 8384 10480 13100 20960 24337 26200 41920 48674 52400 97348 104800 121685 194696 209600 243370 389392 486740 608425 778784 973480 1216850 1557568 1946960 2433700 3188147 3893920 4867400 6376294 7787840 9734800 12752588 15940735 19469600 25505176 31881470 38939200 51010352 63762940 79703675 102020704 127525880 159407350 204041408 255051760 318814700 510103520 637629400 1020207040 1275258800 2550517600 5101035200