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30132300323103 = 3113744371977479
BaseRepresentation
bin1101101100111101110010…
…00011101001100100011111
310221200121201211002112011220
412312132321003221210133
512422141422340314403
6144030330534144423
76226662330522006
oct666367103514437
9127617654075156
1030132300323103
119668044a91a60
123467a124b2113
1313a7604a6ccc4
147625a8169c3d
15373c24a74953
hex1b67b90e991f

30132300323103 has 64 divisors (see below), whose sum is σ = 45178302873600. Its totient is φ = 17703437880960.

The previous prime is 30132300323101. The next prime is 30132300323113.

30132300323103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30132300323103 - 21 = 30132300323101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30132300323101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388870518 + ... + 388947996.

It is an arithmetic number, because the mean of its divisors is an integer number (705910982400).

Almost surely, 230132300323103 is an apocalyptic number.

30132300323103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30132300323103 is a deficient number, since it is larger than the sum of its proper divisors (15046002550497).

30132300323103 is a wasteful number, since it uses less digits than its factorization.

30132300323103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78692.

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 30132300 and 323103, that added together give a palindrome (30455403).

The spelling of 30132300323103 in words is "thirty trillion, one hundred thirty-two billion, three hundred million, three hundred twenty-three thousand, one hundred three".

Divisors: 1 3 11 33 37 111 407 443 719 1221 1329 2157 4873 7909 14619 16391 23727 26603 49173 77479 79809 180301 232437 292633 318517 540903 852269 877899 955551 2556807 2866723 3503687 8600169 10511061 11785129 31533953 34323197 35355387 55707401 94601859 102969591 129636419 167122203 377555167 388909257 612781411 1132665501 1269958289 1838344233 2061173837 3809874867 6183521511 13969541179 22672912207 24678378643 41908623537 68018736621 74035135929 271462165073 814386495219 913100009791 2739300029373 10044100107701 30132300323103