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131112211320 = 23325364200587
BaseRepresentation
bin111101000011011100…
…1011001001101111000
3110112102102202102201200
41322012321121031320
54122004211230240
6140122045414200
712321040256646
oct1720671311570
9415372672650
10131112211320
1150671474a42
12214b126a360
13c49643c73c
1464bb0a6196
15362580c930
hex1e86e59378

131112211320 has 48 divisors (see below), whose sum is σ = 426114687960. Its totient is φ = 34963256256.

The previous prime is 131112211313. The next prime is 131112211403. The reversal of 131112211320 is 23112211131.

131112211320 is a `hidden beast` number, since 1 + 311 + 1 + 22 + 11 + 320 = 666.

131112211320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1311122113202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131112211293 and 131112211302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182099934 + ... + 182100653.

Almost surely, 2131112211320 is an apocalyptic number.

131112211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131112211320 is an abundant number, since it is smaller than the sum of its proper divisors (295002476640).

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

131112211320 is a wasteful number, since it uses less digits than its factorization.

131112211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364200604 (or 364200597 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131112211320 its reverse (23112211131), we get a palindrome (154224422451).

The spelling of 131112211320 in words is "one hundred thirty-one billion, one hundred twelve million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 364200587 728401174 1092601761 1456802348 1821002935 2185203522 2913604696 3277805283 3642005870 4370407044 5463008805 6555610566 7284011740 8740814088 10926017610 13111221132 14568023480 16389026415 21852035220 26222442264 32778052830 43704070440 65556105660 131112211320