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210144442321131 = 3293183938769281
BaseRepresentation
bin101111110010000000010000…
…110101100000100011101011
31000120001121112111120111010020
4233302000100311200203223
5210021001304213234011
62022535005110451523
762156302116313023
oct5762002065404353
91016047474514106
10210144442321131
1160a5a83726608a
121b69b498663ba3
1390346c7439576
1439c708c354a83
151946514bec006
hexbf2010d608eb

210144442321131 has 32 divisors (see below), whose sum is σ = 302809419601920. Its totient is φ = 129324856012800.

The previous prime is 210144442321123. The next prime is 210144442321133. The reversal of 210144442321131 is 131123244441012.

It is not a de Polignac number, because 210144442321131 - 23 = 210144442321123 is a prime.

It is a super-2 number, since 2×2101444423211312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210144442321092 and 210144442321101.

It is not an unprimeable number, because it can be changed into a prime (210144442321133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469160790 + ... + 469608491.

It is an arithmetic number, because the mean of its divisors is an integer number (9462794362560).

Almost surely, 2210144442321131 is an apocalyptic number.

210144442321131 is a deficient number, since it is larger than the sum of its proper divisors (92664977280789).

210144442321131 is a wasteful number, since it uses less digits than its factorization.

210144442321131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938769427.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 210144442321131 its reverse (131123244441012), we get a palindrome (341267686762143).

The spelling of 210144442321131 in words is "two hundred ten trillion, one hundred forty-four billion, four hundred forty-two million, three hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 29 31 83 87 93 249 899 2407 2573 2697 7221 7719 74617 223851 938769281 2816307843 27224309149 29101847711 77917850323 81672927447 87305543133 233753550969 843953583619 2259617659367 2415453360013 2531860750857 6778852978101 7246360080039 70048147440377 210144442321131