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142531102256543 = 7111317101113733883
BaseRepresentation
bin100000011010000110011011…
…101110000010110110011111
3200200122211200120200102220022
4200122012123232002312133
5122140212144134202133
61223045515012342355
742010350404344340
oct4032063356026637
9620584616612808
10142531102256543
114146211249a180
1213b9b5959149bb
13616b818948720
14272a7839740c7
1511728638a5998
hex81a19bb82d9f

142531102256543 has 128 divisors (see below), whose sum is σ = 206444927453184. Its totient is φ = 94688391168000.

The previous prime is 142531102256539. The next prime is 142531102256677. The reversal of 142531102256543 is 345652201135241.

It is a happy number.

142531102256543 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142531102256543 - 22 = 142531102256539 is a prime.

It is a super-2 number, since 2×1425311022565432 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142531102256494 and 142531102256503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142531102256533) 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, 193848080 + ... + 194581962.

It is an arithmetic number, because the mean of its divisors is an integer number (1612850995728).

Almost surely, 2142531102256543 is an apocalyptic number.

142531102256543 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

142531102256543 is a deficient number, since it is larger than the sum of its proper divisors (63913825196641).

142531102256543 is a wasteful number, since it uses less digits than its factorization.

142531102256543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734145.

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 142531102256543 in words is "one hundred forty-two trillion, five hundred thirty-one billion, one hundred two million, two hundred fifty-six thousand, five hundred forty-three".

Divisors: 1 7 11 13 17 77 91 101 113 119 143 187 221 707 791 1001 1111 1243 1309 1313 1469 1547 1717 1921 2431 7777 8701 9191 10283 11413 12019 13447 14443 16159 17017 18887 21131 22321 24973 79891 101101 113113 125543 132209 147917 148369 156247 174811 194021 245531 274703 733883 878801 1038583 1358147 1632059 1718717 1922921 2134231 2522273 5137181 8072713 9540479 11424413 12476011 14939617 17655911 27745003 56508991 66783353 74122183 82928779 87332077 104945269 137236121 162188143 194215021 518855281 580501453 734616883 815344013 912216569 960652847 963588379 1078074127 1135317001 1260077111 1409789243 1784069573 5707408091 6385515983 6745118653 7546518889 8375806679 8820539777 9868524701 10599472169 11858815397 12488487011 13860848221 15507681673 16381002443 18327260159 58630646753 74196305183 83011707779 92133873469 97025937547 108553771711 108885486827 114667017101 128290821113 142388713543 180191026873 201599861749 644937114283 762198407789 996720994801 1197740355097 1261337188111 1411199032243 1566275848973 1851053276059 8384182485679 10963930942811 12957372932413 20361586036649 142531102256543