Search a number
-
+
132002212320100 = 22521320022123201
BaseRepresentation
bin11110000000111000101000…
…111110011001001101100100
3122022101021210010201122101101
4132000320220332121031210
5114300211012323220400
61144424551300405444
736542562606500413
oct3600705076311544
9568337703648341
10132002212320100
1139072907622931
121297aab59a6884
1358869a82727b5
142484d267b547a
15103da318c856a
hex780e28f99364

132002212320100 has 18 divisors (see below), whose sum is σ = 286444800734834. Its totient is φ = 52800884928000.

The previous prime is 132002212319987. The next prime is 132002212320119. The reversal of 132002212320100 is 1023212200231.

It can be written as a sum of positive squares in 3 ways, for example, as 18649735909156 + 113352476410944 = 4318534^2 + 10646712^2 .

It is a super-3 number, since 3×1320022123201003 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 660011061501 + ... + 660011061700.

Almost surely, 2132002212320100 is an apocalyptic number.

132002212320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132002212320100 is an abundant number, since it is smaller than the sum of its proper divisors (154442588414734).

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

132002212320100 is a wasteful number, since it uses less digits than its factorization.

132002212320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320022123215 (or 1320022123208 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 132002212320100 its reverse (1023212200231), we get a palindrome (133025424520331).

The spelling of 132002212320100 in words is "one hundred thirty-two trillion, two billion, two hundred twelve million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1320022123201 2640044246402 5280088492804 6600110616005 13200221232010 26400442464020 33000553080025 66001106160050 132002212320100