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131303211132132 = 2232131111492524201
BaseRepresentation
bin11101110110101101101001…
…010000011110010011100100
3122012220110112112200011011200
4131312231221100132103210
5114202232434022212012
61143131510143202500
736441225655436334
oct3566555120362344
9565813475604150
10131303211132132
1138923419686526
12128875378a6430
135835abba180c0
14245d175dcd0c4
15102a77036a3dc
hex776b6941e4e4

131303211132132 has 72 divisors (see below), whose sum is σ = 357439876630200. Its totient is φ = 40400608550400.

The previous prime is 131303211132103. The next prime is 131303211132179. The reversal of 131303211132132 is 231231112303131.

131303211132132 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 321 + 11 + 321 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19129566597696 + 112173644534436 = 4373736^2 + 10591206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131303211132096 and 131303211132105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50755632 + ... + 53279832.

It is an arithmetic number, because the mean of its divisors is an integer number (4964442730975).

Almost surely, 2131303211132132 is an apocalyptic number.

131303211132132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131303211132132 is an abundant number, since it is smaller than the sum of its proper divisors (226136665498068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131303211132132 is a wasteful number, since it uses less digits than its factorization.

131303211132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635373 (or 2635368 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131303211132132 its reverse (231231112303131), we get a palindrome (362534323435263).

The spelling of 131303211132132 in words is "one hundred thirty-one trillion, three hundred three billion, two hundred eleven million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 111149 222298 333447 444596 666894 1000341 1333788 1444937 2000682 2524201 2889874 4001364 4334811 5048402 5779748 7572603 8669622 10096804 13004433 15145206 17339244 22717809 26008866 30290412 32814613 45435618 52017732 65629226 90871236 98443839 131258452 196887678 295331517 393775356 590663034 1181326068 280562416949 561124833898 841687250847 1122249667796 1683374501694 2525061752541 3366749003388 3647311420337 5050123505082 7294622840674 10100247010164 10941934261011 14589245681348 21883868522022 32825802783033 43767737044044 65651605566066 131303211132132