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13310141230134 = 23272926571370953
BaseRepresentation
bin1100000110110000001000…
…1111010110110000110110
31202010102210121221102110200
43001230002033112300312
53221033132123331014
644150332223301330
72542424464511460
oct301540217266066
952112717842420
1013310141230134
114271887803321
1215ab71744a846
137571aa8226c8
143402ddd71130
151813622eea09
hexc1b023d6c36

13310141230134 has 96 divisors (see below), whose sum is σ = 34107800051520. Its totient is φ = 3670378500096.

The previous prime is 13310141230097. The next prime is 13310141230171. The reversal of 13310141230134 is 43103214101331.

13310141230134 is a `hidden beast` number, since 1 + 3 + 310 + 1 + 4 + 12 + 301 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (13310141230097) and next prime (13310141230171).

It is a super-2 number, since 2×133101412301342 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13310141230098 and 13310141230107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9023202 + ... + 10394154.

It is an arithmetic number, because the mean of its divisors is an integer number (355289583870).

Almost surely, 213310141230134 is an apocalyptic number.

13310141230134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310141230134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053900025760).

13310141230134 is an abundant number, since it is smaller than the sum of its proper divisors (20797658821386).

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

13310141230134 is a wasteful number, since it uses less digits than its factorization.

13310141230134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373654 (or 1373651 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13310141230134 its reverse (43103214101331), we get a palindrome (56413355331465).

The spelling of 13310141230134 in words is "thirteen trillion, three hundred ten billion, one hundred forty-one million, two hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 2657 3654 5314 7971 15942 18599 23913 37198 47826 55797 77053 111594 154106 167391 231159 334782 462318 539371 693477 1078742 1370953 1386954 1618113 2741906 3236226 4112859 4854339 8225718 9596671 9708678 12338577 19193342 24677154 28790013 39757637 57580026 79515274 86370039 119272911 172740078 238545822 278303459 357818733 556606918 715637466 834910377 1669820754 2504731131 3642622121 5009462262 7285244242 10927866363 21855732726 25498354847 32783599089 50996709694 65567198178 76495064541 105636041509 152990129082 211272083018 229485193623 316908124527 458970387246 633816249054 739452290563 950724373581 1478904581126 1901448747162 2218356871689 4436713743378 6655070615067 13310141230134