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131311085532 = 223112574997757
BaseRepresentation
bin111101001001011000…
…0000010011111011100
3110112221021222021212020
41322102300002133130
54122411114214112
6140153512140140
712326003545104
oct1722260023734
9415837867766
10131311085532
11507637590a0
1221547997650
13c4c86c14a3
1464d9674204
153637ee348c
hex1e92c027dc

131311085532 has 96 divisors (see below), whose sum is σ = 336262752000. Its totient is φ = 39551877120.

The previous prime is 131311085491. The next prime is 131311085593. The reversal of 131311085532 is 235580113131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 131311085493 and 131311085502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16924198 + ... + 16931954.

It is an arithmetic number, because the mean of its divisors is an integer number (3502737000).

Almost surely, 2131311085532 is an apocalyptic number.

131311085532 is a gapful number since it is divisible by the number (12) 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 131311085532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168131376000).

131311085532 is an abundant number, since it is smaller than the sum of its proper divisors (204951666468).

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

131311085532 is a wasteful number, since it uses less digits than its factorization.

131311085532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

Adding to 131311085532 its reverse (235580113131), we get a palindrome (366891198663).

The spelling of 131311085532 in words is "one hundred thirty-one billion, three hundred eleven million, eighty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 257 499 514 771 998 1028 1497 1542 1996 2827 2994 3084 5489 5654 5988 7757 8481 10978 11308 15514 16467 16962 21956 23271 31028 32934 33924 46542 65868 85327 93084 128243 170654 255981 256486 341308 384729 511962 512972 769458 1023924 1410673 1538916 1993549 2821346 3870743 3987098 4232019 5642692 5980647 7741486 7974196 8464038 11612229 11961294 15482972 16928076 21929039 23224458 23922588 42578173 43858078 46448916 65787117 85156346 87716156 127734519 131574234 170312692 255469038 263148468 510938076 994780951 1989561902 2984342853 3979123804 5968685706 10942590461 11937371412 21885180922 32827771383 43770361844 65655542766 131311085532