Search a number
-
+
132213203300 = 225230738911071
BaseRepresentation
bin111101100100010000…
…1010110000101100100
3110122021011110121210102
41323020201112011210
54131233040001200
6140423215443232
712360236454053
oct1731041260544
9418234417712
10132213203300
11510869a7572
1221759b26518
13c610579a99
1465833c239a
15368c2dc6d5
hex1ec8856164

132213203300 has 72 divisors (see below), whose sum is σ = 288603194880. Its totient is φ = 52572758400.

The previous prime is 132213203281. The next prime is 132213203341. The reversal of 132213203300 is 3302312231.

It is a super-3 number, since 3×1322132033003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11936765 + ... + 11947835.

Almost surely, 2132213203300 is an apocalyptic number.

132213203300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213203300 is an abundant number, since it is smaller than the sum of its proper divisors (156389991580).

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

132213203300 is a wasteful number, since it uses less digits than its factorization.

132213203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11781 (or 11774 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 132213203300 its reverse (3302312231), we get a palindrome (135515515531).

The spelling of 132213203300 in words is "one hundred thirty-two billion, two hundred thirteen million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 307 389 614 778 1228 1535 1556 1945 3070 3890 6140 7675 7780 9725 11071 15350 19450 22142 30700 38900 44284 55355 110710 119423 221420 238846 276775 477692 553550 597115 1107100 1194230 2388460 2985575 3398797 4306619 5971150 6797594 8613238 11942300 13595188 16993985 17226476 21533095 33987970 43066190 67975940 84969925 86132380 107665475 169939850 215330950 339879700 430661900 1322132033 2644264066 5288528132 6610660165 13221320330 26442640660 33053300825 66106601650 132213203300