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100341363143001 = 34173137271300997
BaseRepresentation
bin10110110100001010001011…
…010011100111000101011001
3111011021112121010021221012010
4112310022023103213011121
5101122443102431034001
6553224104051340133
730064265343033351
oct2664121323470531
9434245533257163
10100341363143001
1129a76595666a82
12b3069b35b1649
1343cb1c456c7a6
141aac79559bb61
15b901984798d6
hex5b428b4e7159

100341363143001 has 64 divisors (see below), whose sum is σ = 140459979856896. Its totient is φ = 63662821171200.

The previous prime is 100341363142949. The next prime is 100341363143017.

100341363143001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100341363143001 - 219 = 100341362618713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100341363143001.

It is not an unprimeable number, because it can be changed into a prime (100341363143081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333212835 + ... + 333513831.

It is an arithmetic number, because the mean of its divisors is an integer number (2194687185264).

Almost surely, 2100341363143001 is an apocalyptic number.

It is an amenable number.

100341363143001 is a deficient number, since it is larger than the sum of its proper divisors (40118616713895).

100341363143001 is a wasteful number, since it uses less digits than its factorization.

100341363143001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301522.

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 100341363143001 in words is "one hundred trillion, three hundred forty-one billion, three hundred sixty-three million, one hundred forty-three thousand, one".

Divisors: 1 3 41 73 123 137 219 271 411 813 2993 5617 8979 10001 11111 16851 19783 30003 33333 37127 59349 111381 300997 410041 811103 902991 1230123 1522207 2433309 2710271 4566621 8130813 12340877 21972781 37022631 41236589 65918343 81570187 111121111 123709767 244710561 333363333 900884021 1690700149 2702652063 3010270997 3344377667 5072100447 5954623651 9030812991 10033133001 11175115619 17863870953 33525346857 123421110877 244139569691 370263332631 458179740379 732418709073 815783440187 1374539221137 2447350320561 33447121047667 100341363143001