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131322303132030 = 23451171138451153
BaseRepresentation
bin11101110110111111011011…
…001110101011000101111110
3122012222021211002122020110000
4131312333123032223011332
5114203041034100211110
61143144344435055130
736442503043654533
oct3566773316530576
9565867732566400
10131322303132030
113893052660963a
121288b1857414a6
135837842257b6a
142460067874d8a
15102aedb5291c0
hex776fdb3ab17e

131322303132030 has 80 divisors (see below), whose sum is σ = 353412630918864. Its totient is φ = 34989375133440.

The previous prime is 131322303132029. The next prime is 131322303132089. The reversal of 131322303132030 is 30231303223131.

131322303132030 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 2 + 303 + 1 + 320 + 30 = 666.

It is a super-2 number, since 2×1313223031320302 (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 junction number, because it is equal to n+sod(n) for n = 131322303131985 and 131322303132003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68277067 + ... + 70174086.

Almost surely, 2131322303132030 is an apocalyptic number.

131322303132030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131322303132030 is an abundant number, since it is smaller than the sum of its proper divisors (222090327786834).

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

131322303132030 is a wasteful number, since it uses less digits than its factorization.

131322303132030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138452343 (or 138452334 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 131322303132030 its reverse (30231303223131), we get a palindrome (161553606355161).

The spelling of 131322303132030 in words is "one hundred thirty-one trillion, three hundred twenty-two billion, three hundred three million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1171 2342 3513 5855 7026 10539 11710 17565 21078 31617 35130 52695 63234 94851 105390 158085 189702 316170 474255 948510 138451153 276902306 415353459 692255765 830706918 1246060377 1384511530 2076767295 2492120754 3738181131 4153534590 6230301885 7476362262 11214543393 12460603770 18690905655 22429086786 37381811310 56072716965 112145433930 162126300163 324252600326 486378900489 810631500815 972757800978 1459136701467 1621263001630 2431894502445 2918273402934 4377410104401 4863789004890 7295683507335 8754820208802 13132230313203 14591367014670 21887050522005 26264460626406 43774101044010 65661151566015 131322303132030