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103142101241301 = 319313764111932063
BaseRepresentation
bin10111011100111010100100…
…010011100100110111010101
3111112012021210101010210122220
4113130322210103210313111
5102004340010404210201
61003210454401012553
730503525264052513
oct2734724423446725
9445167711123586
10103142101241301
112a956357272751
12b699769024159
13457234896b985
141b681664274b3
15bdce69445036
hex5dcea44e4dd5

103142101241301 has 128 divisors (see below), whose sum is σ = 153912045404160. Its totient is φ = 61160516812800.

The previous prime is 103142101241219. The next prime is 103142101241323.

103142101241301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103142101241301 - 223 = 103142092852693 is a prime.

It is a super-3 number, since 3×1031421012413013 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103142101241341) 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, 49996170196 + ... + 49996172258.

It is an arithmetic number, because the mean of its divisors is an integer number (1202437854720).

Almost surely, 2103142101241301 is an apocalyptic number.

It is an amenable number.

103142101241301 is a deficient number, since it is larger than the sum of its proper divisors (50769944162859).

103142101241301 is a wasteful number, since it uses less digits than its factorization.

103142101241301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 10314210 and 1241301, that added together give a palindrome (11555511).

The spelling of 103142101241301 in words is "one hundred three trillion, one hundred forty-two billion, one hundred one million, two hundred forty-one thousand, three hundred one".

Divisors: 1 3 19 31 37 57 93 111 589 641 703 1147 1193 1767 1923 2063 2109 3441 3579 6189 12179 19871 21793 22667 23717 36537 36983 39197 44141 59613 63953 65379 68001 71151 76331 110949 117591 132423 191859 228993 377549 450623 702677 735227 764713 838679 1132647 1215107 1322383 1351869 1368371 1450289 2108031 2205681 2294139 2366261 2461159 2516037 3645321 3967149 4105113 4350867 7098783 7383477 13969313 14529547 23706103 25125277 25999049 28294381 40993873 41907939 43588641 44958959 46762021 48928171 71118309 75375831 76295929 77997147 84883143 91062883 122981619 134876877 140286063 146784513 228887787 273188649 450415957 537593239 778883587 877125811 929635249 1351247871 1449622651 1516773301 1577602919 1612779717 1730194777 2336650761 2631377433 2788905747 2822949373 4348867953 4550319903 4732808757 5190584331 8468848119 16665390409 28818692719 29974455461 48905690489 49996171227 53636038087 58371308003 86456078157 89923366383 146717071467 160908114261 175113924009 929208119291 1109054852057 1809510548093 2787624357873 3327164556171 5428531644279 34380700413767 103142101241301