Search a number
-
+
129312201376267 = 721319103379273697
BaseRepresentation
bin11101011001101111010111…
…110101000000001000001011
3121221212010101122120000200121
4131121233113311000020023
5113422122342023020032
61135005112154244111
736144332616650500
oct3531572765001013
9557763348500617
10129312201376267
1138225aa6573178
12126056a2726637
13572011bbc9620
1423d0a5b5354a7
15ee3a9178da97
hex759bd7d4020b

129312201376267 has 96 divisors (see below), whose sum is σ = 172632057561600. Its totient is φ = 95733395638272.

The previous prime is 129312201376261. The next prime is 129312201376291. The reversal of 129312201376267 is 762673102213921.

It is a de Polignac number, because none of the positive numbers 2k-129312201376267 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129312201376261) 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, 472327963 + ... + 472601659.

It is an arithmetic number, because the mean of its divisors is an integer number (1798250599600).

Almost surely, 2129312201376267 is an apocalyptic number.

129312201376267 is a deficient number, since it is larger than the sum of its proper divisors (43319856185333).

129312201376267 is a wasteful number, since it uses less digits than its factorization.

129312201376267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274225 (or 274218 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 129312201376267 in words is "one hundred twenty-nine trillion, three hundred twelve billion, two hundred one million, three hundred seventy-six thousand, two hundred sixty-seven".

Divisors: 1 7 13 19 49 91 103 133 247 379 637 721 931 1339 1729 1957 2653 4927 5047 7201 9373 12103 13699 18571 25441 34489 39037 50407 65611 93613 95893 178087 241423 273259 273697 352849 507481 655291 741703 1246609 1912813 1915879 3552367 3558061 4587037 5191921 5200243 9642139 13411153 24866569 24906427 28190791 36343447 36401701 67494973 67603159 103731163 174344989 197335537 254811907 366480283 472464811 473222113 535625029 726118141 1348505119 1381348759 1970892097 2565361981 3312554791 3749375203 5082826987 6963125377 9439535833 10684309789 13796244679 17957533867 25621597261 26245626421 48741877639 66076750831 74790168523 96573712753 138896027257 179351180827 203001885991 341193143473 523531179661 972272190799 1255458265789 1421013201937 2639024517883 6805905335593 9947092413559 18473171625181 129312201376267