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5252132100 = 2235283210929
BaseRepresentation
bin1001110010000110…
…10010110100000100
3111120000210221210010
410321003102310010
541224021211400
62225055230220
7244103246325
oct47103226404
914500727703
105252132100
112255767646
121026b18370
13659169897
1437b77444c
1520b15c450
hex1390d2d04

5252132100 has 72 divisors (see below), whose sum is σ = 15379328160. Its totient is φ = 1383687680.

The previous prime is 5252132071. The next prime is 5252132111. The reversal of 5252132100 is 12312525.

It is an unprimeable number.

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, 80565 + ... + 130364.

It is an arithmetic number, because the mean of its divisors is an integer number (213601780).

Almost surely, 25252132100 is an apocalyptic number.

5252132100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5252132100 is an abundant number, since it is smaller than the sum of its proper divisors (10127196060).

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

5252132100 is a wasteful number, since it uses less digits than its factorization.

5252132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211029 (or 211022 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5252132100 is about 72471.5951252627. The cubic root of 5252132100 is about 1738.2485679469.

Adding to 5252132100 its reverse (12312525), we get a palindrome (5264444625).

The spelling of 5252132100 in words is "five billion, two hundred fifty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 12450 24900 210929 421858 632787 843716 1054645 1265574 2109290 2531148 3163935 4218580 5273225 6327870 10546450 12655740 15819675 17507107 21092900 31639350 35014214 52521321 63278700 70028428 87535535 105042642 175071070 210085284 262606605 350142140 437677675 525213210 875355350 1050426420 1313033025 1750710700 2626066050 5252132100