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13238070213011 = 729437145134733
BaseRepresentation
bin1100000010100011101001…
…1110001111100110010011
31201212112202212121102012012
43000220322132033212103
53213343031433304021
644053252511253135
72534263502126150
oct300507236174623
951775685542165
1013238070213011
114244263579456
121599762b1a1ab
137504632c7247
1433aa24295227
1517e544e9e35b
hexc0a3a78f993

13238070213011 has 64 divisors (see below), whose sum is σ = 16247487928320. Its totient is φ = 10545579233280.

The previous prime is 13238070212977. The next prime is 13238070213029. The reversal of 13238070213011 is 11031207083231.

13238070213011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13238070213011 is a prime.

It is a super-2 number, since 2×132380702130112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13238070213091) 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, 2796970001 + ... + 2796974733.

It is an arithmetic number, because the mean of its divisors is an integer number (253866998880).

Almost surely, 213238070213011 is an apocalyptic number.

13238070213011 is a deficient number, since it is larger than the sum of its proper divisors (3009417715309).

13238070213011 is a wasteful number, since it uses less digits than its factorization.

13238070213011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9396.

The product of its (nonzero) digits is 6048, while the sum is 32.

Adding to 13238070213011 its reverse (11031207083231), we get a palindrome (24269277296242).

The spelling of 13238070213011 in words is "thirteen trillion, two hundred thirty-eight billion, seventy million, two hundred thirteen thousand, eleven".

Divisors: 1 7 29 43 71 203 301 497 1247 2059 3053 4513 4733 8729 14413 21371 31591 33131 88537 130877 137257 194059 203519 320423 336043 619759 916139 960799 1358413 1424633 2242961 2352301 5627711 5902051 9292267 9745247 13778189 14449849 21360029 39393977 41314357 65045869 68216729 96447323 101148943 149520203 399567481 419045621 619440841 918481247 1516562059 2796972367 2933319347 4336085887 6429368729 10615934413 26635956163 43980299711 65212168537 186451693141 307862097977 456485179759 1891152887573 13238070213011