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131221313200 = 24521229266927
BaseRepresentation
bin111101000110101100…
…1100101011010110000
3110112201001001101101001
41322031121211122300
54122220124010300
6140140544051344
712323533521145
oct1721531453260
9415631041331
10131221313200
115071801288a
1221521903b54
13c4b2c1c073
1464cb7863cc
1536301ae16a
hex1e8d6656b0

131221313200 has 60 divisors (see below), whose sum is σ = 315516903840. Its totient is φ = 52445620480.

The previous prime is 131221313189. The next prime is 131221313287. The reversal of 131221313200 is 2313122131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358137 + ... + 625063.

It is an arithmetic number, because the mean of its divisors is an integer number (5258615064).

Almost surely, 2131221313200 is an apocalyptic number.

131221313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131221313200 is an abundant number, since it is smaller than the sum of its proper divisors (184295590640).

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

131221313200 is a wasteful number, since it uses less digits than its factorization.

131221313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268174 (or 268163 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131221313200 its reverse (2313122131), we get a palindrome (133534435331).

The spelling of 131221313200 in words is "one hundred thirty-one billion, two hundred twenty-one million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1229 2458 4916 6145 9832 12290 19664 24580 30725 49160 61450 98320 122900 245800 266927 491600 533854 1067708 1334635 2135416 2669270 4270832 5338540 6673175 10677080 13346350 21354160 26692700 53385400 106770800 328053283 656106566 1312213132 1640266415 2624426264 3280532830 5248852528 6561065660 8201332075 13122131320 16402664150 26244262640 32805328300 65610656600 131221313200