Search a number
-
+
131213044003240 = 23559358315517373
BaseRepresentation
bin11101110101011001101010…
…111000001011000110101000
3122012120211210122022102022101
4131311121222320023012220
5114144243303231100430
61143022235032503144
736431554356462463
oct3565315270130650
9565524718272271
10131213044003240
1138899159693a91
1212871b72b4aab4
13582a44c3aa5b4
142458a60c282da
1510282444c8dca
hex77566ae0b1a8

131213044003240 has 64 divisors (see below), whose sum is σ = 300317049446400. Its totient is φ = 51581234195712.

The previous prime is 131213044003147. The next prime is 131213044003247. The reversal of 131213044003240 is 42300440312131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131213044003199 and 131213044003208.

It is not an unprimeable number, because it can be changed into a prime (131213044003247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697194 + ... + 16214566.

It is an arithmetic number, because the mean of its divisors is an integer number (4692453897600).

Almost surely, 2131213044003240 is an apocalyptic number.

131213044003240 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 131213044003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150158524723200).

131213044003240 is an abundant number, since it is smaller than the sum of its proper divisors (169104005443160).

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

131213044003240 is a wasteful number, since it uses less digits than its factorization.

131213044003240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15521026 (or 15521022 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131213044003240 its reverse (42300440312131), we get a palindrome (173513484315371).

The spelling of 131213044003240 in words is "one hundred thirty-one trillion, two hundred thirteen billion, forty-four million, three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 3583 7166 14332 17915 28664 35830 71660 143320 211397 422794 845588 1056985 1691176 2113970 4227940 8455880 15517373 31034746 62069492 77586865 124138984 155173730 310347460 620694920 915525007 1831050014 3662100028 4577625035 7324200056 9155250070 18310500140 36621000280 55598747459 111197494918 222394989836 277993737295 444789979672 555987474590 1111974949180 2223949898360 3280326100081 6560652200162 13121304400324 16401630500405 26242608800648 32803261000810 65606522001620 131213044003240