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131031032132 = 227112138933427
BaseRepresentation
bin111101000001000001…
…1101110000101000100
3110112012210000002211002
41322002003232011010
54121322421012012
6140110025432432
712316033252640
oct1720203560504
9415183002732
10131031032132
115062a668900
122148a03b718
13c482688710
1464b03b3c20
15361d6247c2
hex1e820ee144

131031032132 has 144 divisors (see below), whose sum is σ = 313704397440. Its totient is φ = 46593169920.

The previous prime is 131031032123. The next prime is 131031032183. The reversal of 131031032132 is 231230130131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3903203 + ... + 3936629.

It is an arithmetic number, because the mean of its divisors is an integer number (2178502760).

Almost surely, 2131031032132 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 131031032132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156852198720).

131031032132 is an abundant number, since it is smaller than the sum of its proper divisors (182673365308).

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

131031032132 is a wasteful number, since it uses less digits than its factorization.

131031032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33562 (or 33549 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131031032132 its reverse (231230130131), we get a palindrome (362261162263).

The spelling of 131031032132 in words is "one hundred thirty-one billion, thirty-one million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 89 91 121 143 154 178 182 242 286 308 356 364 484 572 623 847 979 1001 1157 1246 1573 1694 1958 2002 2314 2492 3146 3388 3916 4004 4628 6292 6853 8099 10769 11011 12727 13706 16198 21538 22022 25454 27412 32396 33427 43076 44044 50908 66854 75383 89089 133708 139997 150766 178178 233989 279994 301532 356356 367697 434551 467978 559988 735394 869102 935956 979979 1470788 1738204 1959958 2573879 2975003 3041857 3919916 4044667 4780061 5147758 5950006 6083714 8089334 9560122 10295516 11900012 12167428 16178668 19120244 20825021 28312669 32725033 33460427 38675039 41650042 52580671 56625338 65450066 66920854 77350078 83300084 105161342 113250676 130900132 133841708 154700156 210322684 229075231 270725273 359975363 368064697 425425429 458150462 541450546 719950726 736129394 850850858 916300924 1082901092 1439901452 1472258788 1701701716 2519827541 2977978003 4679679719 5039655082 5955956006 9359359438 10079310164 11911912012 18718718876 32757758033 65515516066 131031032132