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131302011104 = 25111744948869
BaseRepresentation
bin111101001001000110…
…1011011000011100000
3110112220122220021002022
41322102031123003200
54122401303323404
6140152545441012
712325533452045
oct1722215330340
9415818807068
10131302011104
1150759620370
1221544940168
13c4c6864cc4
1464d83911cc
1536372ee8be
hex1e9235b0e0

131302011104 has 96 divisors (see below), whose sum is σ = 299260332000. Its totient is φ = 56045731840.

The previous prime is 131302011101. The next prime is 131302011109. The reversal of 131302011104 is 401110203131.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131302011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2662382 + ... + 2711250.

It is an arithmetic number, because the mean of its divisors is an integer number (3117295125).

Almost surely, 2131302011104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131302011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149630166000).

131302011104 is an abundant number, since it is smaller than the sum of its proper divisors (167958320896).

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

131302011104 is a wasteful number, since it uses less digits than its factorization.

131302011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49356 (or 49348 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 131302011104 its reverse (401110203131), we get a palindrome (532412214235).

The spelling of 131302011104 in words is "one hundred thirty-one billion, three hundred two million, eleven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 449 544 748 898 1496 1796 2992 3592 4939 5984 7184 7633 9878 14368 15266 19756 30532 39512 48869 61064 79024 83963 97738 122128 158048 167926 195476 244256 335852 390952 537559 671704 781904 830773 1075118 1343408 1563808 1661546 2150236 2686816 3323092 4300472 6646184 8600944 9138503 13292368 17201888 18277006 21942181 26584736 36554012 43884362 73108024 87768724 146216048 175537448 241363991 292432096 351074896 373017077 482727982 702149792 746034154 965455964 1492068308 1930911928 2984136616 3861823856 4103187847 5968273232 7723647712 8206375694 11936546464 16412751388 32825502776 65651005552 131302011104