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131211223231220 = 2251115118839209659
BaseRepresentation
bin11101110101010111111110…
…010110011110101011110100
3122012120200002202012121122122
4131311113332112132223310
5114144231041121344340
61143021334231215112
736431461300252316
oct3565277626365364
9565520082177578
10131211223231220
1138898404932020
1212871745217498
13582a21c0c68c2
14245892b0a57b6
15102818971adb5
hex7755fe59eaf4

131211223231220 has 96 divisors (see below), whose sum is σ = 302601170995200. Its totient is φ = 47394448848000.

The previous prime is 131211223231219. The next prime is 131211223231243. The reversal of 131211223231220 is 22132322112131.

It is a self number, because there is not a number n which added to its sum of digits gives 131211223231220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625726751 + ... + 625936409.

It is an arithmetic number, because the mean of its divisors is an integer number (3152095531200).

Almost surely, 2131211223231220 is an apocalyptic number.

131211223231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131211223231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151300585497600).

131211223231220 is an abundant number, since it is smaller than the sum of its proper divisors (171389947763980).

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

131211223231220 is a wasteful number, since it uses less digits than its factorization.

131211223231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228669 (or 228667 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 131211223231220 its reverse (22132322112131), we get a palindrome (153343545343351).

The spelling of 131211223231220 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred twenty-three million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 6644 8305 16610 18839 33220 37678 75356 94195 188390 207229 209659 376780 414458 419318 828916 838636 1036145 1048295 2072290 2096590 2306249 2844689 4144580 4193180 4612498 5689378 9224996 11378756 11531245 14223445 23062490 28446890 31291579 31658509 46124980 56893780 62583158 63317018 125166316 126634036 156457895 158292545 312915790 316585090 348243599 625831580 633170180 696487198 1392974396 1741217995 3482435990 3949765901 6964871980 7899531802 15799063604 19748829505 39497659010 43447424911 78995318020 86894849822 173789699644 217237124555 434474249110 596414651051 868948498220 1192829302102 2385658604204 2982073255255 5964146510510 6560561161561 11928293021020 13121122323122 26242244646244 32802805807805 65605611615610 131211223231220