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132213200200 = 23524116123561
BaseRepresentation
bin111101100100010000…
…1010101010101001000
3110122021011110110112121
41323020201111111020
54131233034401300
6140423215421024
712360236442034
oct1731041252510
9418234413477
10132213200200
11510869a5204
1221759b24774
13c610578553
1465833c11c4
15368c2db81a
hex1ec8855548

132213200200 has 48 divisors (see below), whose sum is σ = 314893165860. Its totient is φ = 51595392000.

The previous prime is 132213200191. The next prime is 132213200237. The reversal of 132213200200 is 2002312231.

It can be written as a sum of positive squares in 6 ways, for example, as 96943716 + 132116256484 = 9846^2 + 363478^2 .

It is a super-3 number, since 3×1322132002003 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8053581 + ... + 8069980.

Almost surely, 2132213200200 is an apocalyptic number.

132213200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213200200 is an abundant number, since it is smaller than the sum of its proper divisors (182679965660).

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

132213200200 is a wasteful number, since it uses less digits than its factorization.

132213200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16123618 (or 16123609 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132213200200 its reverse (2002312231), we get a palindrome (134215512431).

The spelling of 132213200200 in words is "one hundred thirty-two billion, two hundred thirteen million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 16123561 32247122 64494244 80617805 128988488 161235610 322471220 403089025 644942440 661066001 806178050 1322132002 1612356100 2644264004 3224712200 3305330005 5288528008 6610660010 13221320020 16526650025 26442640040 33053300050 66106600100 132213200200