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134201343102431 = 112731011379831117
BaseRepresentation
bin11110100000111000101111…
…011000100100110111011111
3122121011112010100021100100212
4132200320233120210313133
5120042223322313234211
61153231125041243035
740160504246641253
oct3640705730446737
9577145110240325
10134201343102431
1139840519617800
121307515233347b
1359b6194a19747
14251d545b20263
15107ad4187e38b
hex7a0e2f624ddf

134201343102431 has 96 divisors (see below), whose sum is σ = 152405107231104. Its totient is φ = 118042873344000.

The previous prime is 134201343102383. The next prime is 134201343102439.

134201343102431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134201343102431 - 238 = 133926465195487 is a prime.

It is a super-2 number, since 2×1342013431024312 (a number of 29 digits) contains 22 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 (134201343102439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120144442685 + ... + 120144443801.

It is an arithmetic number, because the mean of its divisors is an integer number (1587553200324).

Almost surely, 2134201343102431 is an apocalyptic number.

134201343102431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134201343102431 is a deficient number, since it is larger than the sum of its proper divisors (18203764128673).

134201343102431 is a wasteful number, since it uses less digits than its factorization.

134201343102431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 1342013 and 43102431, that added together give a palindrome (44444444).

The spelling of 134201343102431 in words is "one hundred thirty-four trillion, two hundred one billion, three hundred forty-three million, one hundred two thousand, four hundred thirty-one".

Divisors: 1 11 73 101 121 137 803 983 1111 1117 1507 7373 8833 10001 10813 12221 12287 13837 16577 71759 81103 81541 99283 110011 112817 118943 134671 135157 152207 153029 789349 892133 896951 1010101 1092113 1098011 1210121 1240987 1481381 1674277 1683319 7247659 8235641 8682839 9830983 9866461 11111111 11171117 12013243 12078121 13601771 13650857 15455929 16295191 18516509 79724249 80154803 90592051 108140813 110899111 122222221 122882287 132859331 149619481 150427507 170015219 876966739 881702833 992929283 996512561 1128282817 1189548943 1219890221 1351705157 1645814291 1654702577 1870167409 8095635103 9698731163 10922222113 10981208011 12411110987 13418792431 15193178207 18201728347 89051986133 120144443243 120793288121 136522220857 167124960277 979571847463 1109102009111 1328726169331 1838374563047 12200122100221 134201343102431