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5321120100 = 22352294631321
BaseRepresentation
bin1001111010010100…
…11101100101100100
3111201211121220112020
410331022131211210
541344201320400
62240002023140
7245601526452
oct47512354544
914654556466
105321120100
1122906a731a
121046047ab0
1366a54289a
143869b19d2
152122382a0
hex13d29d964

5321120100 has 144 divisors (see below), whose sum is σ = 15973144320. Its totient is φ = 1366041600.

The previous prime is 5321120093. The next prime is 5321120171. The reversal of 5321120100 is 10211235.

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 5321120100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4027440 + ... + 4028760.

Almost surely, 25321120100 is an apocalyptic number.

5321120100 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 5321120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986572160).

5321120100 is an abundant number, since it is smaller than the sum of its proper divisors (10652024220).

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

5321120100 is a wasteful number, since it uses less digits than its factorization.

5321120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 5321120100 is about 72946.0081155919. The cubic root of 5321120100 is about 1745.8262549039.

Adding to 5321120100 its reverse (10211235), we get a palindrome (5331331335).

The spelling of 5321120100 in words is "five billion, three hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 463 580 725 870 926 1321 1389 1450 1740 1852 2175 2315 2642 2778 2900 3963 4350 4630 5284 5556 6605 6945 7926 8700 9260 11575 13210 13427 13890 15852 19815 23150 26420 26854 27780 33025 34725 38309 39630 40281 46300 53708 66050 67135 69450 76618 79260 80562 99075 114927 132100 134270 138900 153236 161124 191545 198150 201405 229854 268540 335675 383090 396300 402810 459708 574635 611623 671350 766180 805620 957725 1007025 1149270 1223246 1342700 1834869 1915450 2014050 2298540 2446492 2873175 3058115 3669738 3830900 4028100 5746350 6116230 7339476 9174345 11492700 12232460 15290575 17737067 18348690 30581150 35474134 36697380 45871725 53211201 61162300 70948268 88685335 91743450 106422402 177370670 183486900 212844804 266056005 354741340 443426675 532112010 886853350 1064224020 1330280025 1773706700 2660560050 5321120100