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1302430342031 = 7133147103283337
BaseRepresentation
bin10010111100111110111…
…001011101101110001111
311121111210121110121201222
4102330332321131232033
5132314334131421111
62434154522153555
7163045303146560
oct22747671355617
94544717417658
101302430342031
114623a2a79125
121905053528bb
1395a84777950
1447076266167
1523d2c4917db
hex12f3ee5db8f

1302430342031 has 128 divisors (see below), whose sum is σ = 1717424357376. Its totient is φ = 960284989440.

The previous prime is 1302430341997. The next prime is 1302430342039.

1302430342031 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1302430342031 is a prime.

It is a super-2 number, since 2×13024303420312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302430342039) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3864778295 + ... + 3864778631.

It is an arithmetic number, because the mean of its divisors is an integer number (13417377792).

Almost surely, 21302430342031 is an apocalyptic number.

1302430342031 is a deficient number, since it is larger than the sum of its proper divisors (414994015345).

1302430342031 is a wasteful number, since it uses less digits than its factorization.

1302430342031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 1302430 and 342031, that added together give a palindrome (1644461).

The spelling of 1302430342031 in words is "one trillion, three hundred two billion, four hundred thirty million, three hundred forty-two thousand, thirty-one".

Divisors: 1 7 13 31 47 91 103 217 283 329 337 403 611 721 1339 1457 1981 2359 2821 3193 3679 4277 4381 4841 8773 9373 10199 10447 13301 15839 18941 22351 25753 29149 30667 33887 34711 41509 61411 62933 73129 93107 95371 110873 114049 132587 135811 150071 172913 204043 205907 242977 290563 378937 412331 440531 451243 491009 667597 798343 903619 950677 1050497 1076041 1210391 1239823 1370003 1441349 1631417 1950923 2652559 2886317 2956501 3158701 3437063 4482437 5360303 6325333 6383117 7532287 8678761 9590021 9823213 11419919 11747047 13656461 13988533 17810039 20695507 21208421 31377059 37522121 38434513 42470093 44681819 50573927 58271681 68762491 82229329 97919731 124670273 127701769 138955547 148458947 269041591 297290651 304519603 354017489 407901767 461691011 552111209 657461051 893912383 972688829 1806422111 2131637221 3231837077 3864778463 3958754839 4602227357 6001983143 12644954777 14312421341 27711283873 42013882001 100186949387 186061477433 1302430342031