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131303122020030 = 23543659886717419
BaseRepresentation
bin11101110110101101100011…
…111100100010011010111110
3122012220110022022222210100110
4131312231203330202122332
5114202232243214120110
61143131453241210450
736441223524132312
oct3566554374423276
9565813268883313
10131303122020030
1138923383351264
1212887511a90a26
135835aa641734c
14245d168233b42
15102a767616a20
hex776b63f226be

131303122020030 has 128 divisors (see below), whose sum is σ = 323000313292800. Its totient is φ = 34142175010944.

The previous prime is 131303122020001. The next prime is 131303122020043. The reversal of 131303122020030 is 30020221303131.

It is a junction number, because it is equal to n+sod(n) for n = 131303122019979 and 131303122020006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7537916661 + ... + 7537934079.

It is an arithmetic number, because the mean of its divisors is an integer number (2523439947600).

Almost surely, 2131303122020030 is an apocalyptic number.

131303122020030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131303122020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161500156646400).

131303122020030 is an abundant number, since it is smaller than the sum of its proper divisors (191697191272770).

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

131303122020030 is a wasteful number, since it uses less digits than its factorization.

131303122020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26998.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131303122020030 its reverse (30020221303131), we get a palindrome (161323343323161).

The spelling of 131303122020030 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twenty-two million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 659 1290 1318 1977 3295 3954 6590 8867 9885 17419 17734 19770 26601 28337 34838 44335 52257 53202 56674 85011 87095 88670 104514 133005 141685 170022 174190 261285 266010 283370 381281 425055 522570 749017 762562 850110 1143843 1498034 1906405 2247051 2287686 3745085 3812810 4494102 5719215 5843353 7490170 11235255 11438430 11479121 11686706 17530059 22470510 22958242 29216765 34437363 35060118 57395605 58433530 68874726 87650295 114791210 154454273 172186815 175300590 251264179 308908546 344373630 463362819 493602203 502528358 753792537 772271365 926725638 987204406 1256320895 1480806609 1507585074 1544542730 2316814095 2468011015 2512641790 2961613218 3768962685 4633628190 4936022030 6641533739 7404033045 7537925370 13283067478 14808066090 19924601217 33207668695 39849202434 66415337390 99623006085 101785365907 199246012170 203570731814 305356097721 508926829535 610712195442 1017853659070 1526780488605 3053560977210 4376770734001 8753541468002 13130312202003 21883853670005 26260624404006 43767707340010 65651561010015 131303122020030