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132231203203203 = 34136712371515169
BaseRepresentation
bin11110000100001101111001…
…111001010010100010000011
3122100012011211220110210010000
4132010031321321102202003
5114312434001010000303
61145122102014011043
736565250325051456
oct3604157171224203
9570164756423100
10132231203203203
1139150a35a47655
12129b73624a6a83
1358a246c876c70
14249204ac9d49d
151044985093da3
hex784379e52883

132231203203203 has 80 divisors (see below), whose sum is σ = 216074902748320. Its totient is φ = 80093671409664.

The previous prime is 132231203203201. The next prime is 132231203203207. The reversal of 132231203203203 is 302302302132231.

132231203203203 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 12 + 0 + 320 + 320 + 3 = 666.

It is not a de Polignac number, because 132231203203203 - 21 = 132231203203201 is a prime.

It is a super-2 number, since 2×1322312032032032 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132231203203201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86514003 + ... + 88029171.

It is an arithmetic number, because the mean of its divisors is an integer number (2700936284354).

Almost surely, 2132231203203203 is an apocalyptic number.

132231203203203 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132231203203203 is a deficient number, since it is larger than the sum of its proper divisors (83843699545117).

132231203203203 is a wasteful number, since it uses less digits than its factorization.

132231203203203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516498 (or 1516489 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 132231203203203 its reverse (302302302132231), we get a palindrome (434533505335434).

The spelling of 132231203203203 in words is "one hundred thirty-two trillion, two hundred thirty-one billion, two hundred three million, two hundred three thousand, two hundred three".

Divisors: 1 3 9 13 27 39 67 81 117 201 351 603 871 1053 1237 1809 2613 3711 5427 7839 11133 16081 23517 33399 48243 70551 82879 100197 144729 248637 434187 745911 1077427 1302561 1515169 2237733 3232281 4545507 6713199 9696843 13636521 19697197 29090529 40909563 59091591 87271587 101516323 122728689 177274773 304548969 531824319 913646907 1319712199 1595472957 1874264053 2740940721 3959136597 5622792159 8222822163 11877409791 16868376477 24365432689 35632229373 50605129431 73096298067 106896688119 125575691551 151815388293 219288894201 376727074653 657866682603 1130181223959 1632483990163 1973600047809 3390543671877 4897451970489 10171631015631 14692355911467 44077067734401 132231203203203