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132213000132103 = 11738916217114077
BaseRepresentation
bin11110000011111100111100…
…111010000101011000000111
3122100010102212022011221220111
4132003330330322011120013
5114312134211013211403
61145105451435013451
736564034252361362
oct3603747472053007
9570112768157814
10132213000132103
1139144244874940
12129b392229a287
1358a082b555587
1424912014d10d9
15104426be7656d
hex783f3ce85607

132213000132103 has 32 divisors (see below), whose sum is σ = 147861350959680. Its totient is φ = 117206902517760.

The previous prime is 132213000132049. The next prime is 132213000132107. The reversal of 132213000132103 is 301231000312231.

It is a de Polignac number, because none of the positive numbers 2k-132213000132103 is a prime.

It is a super-3 number, since 3×1322130001321033 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213000132107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1158923301 + ... + 1159037377.

It is an arithmetic number, because the mean of its divisors is an integer number (4620667217490).

Almost surely, 2132213000132103 is an apocalyptic number.

132213000132103 is a deficient number, since it is larger than the sum of its proper divisors (15648350827577).

132213000132103 is a wasteful number, since it uses less digits than its factorization.

132213000132103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130467.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 132213000132103 its reverse (301231000312231), we get a palindrome (433444000444334).

The spelling of 132213000132103 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred thirty-two thousand, one hundred three".

Divisors: 1 11 73 89 803 979 6497 16217 71467 114077 178387 1183841 1254847 1443313 8327621 10152853 13022251 15876443 91603831 105361849 111681383 741158269 1158980339 1849986709 8152740959 20349853799 135049029757 164648817101 1485539327327 1811136988111 12019363648373 132213000132103