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131030132000 = 2553283115751
BaseRepresentation
bin111101000001000000…
…0010010010100100000
3110112012201022101001212
41322002000102110200
54121322203211000
6140105554245252
712316022513435
oct1720200222440
9415181271055
10131030132000
115062a103599
1221489886828
13c482431ab1
1464b021bb8c
15361d4e7c35
hex1e82012520

131030132000 has 96 divisors (see below), whose sum is σ = 323081426304. Its totient is φ = 52226400000.

The previous prime is 131030131979. The next prime is 131030132017. The reversal of 131030132000 is 231030131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1074125 + ... + 1189875.

It is an arithmetic number, because the mean of its divisors is an integer number (3365431524).

Almost surely, 2131030132000 is an apocalyptic number.

131030132000 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 131030132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161540713152).

131030132000 is an abundant number, since it is smaller than the sum of its proper divisors (192051294304).

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

131030132000 is a wasteful number, since it uses less digits than its factorization.

131030132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116059 (or 116041 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 131030132000 its reverse (231030131), we get a palindrome (131261162131).

The spelling of 131030132000 in words is "one hundred thirty-one billion, thirty million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 283 400 500 566 800 1000 1132 1415 2000 2264 2830 4000 4528 5660 7075 9056 11320 14150 22640 28300 35375 45280 56600 70750 113200 115751 141500 226400 231502 283000 463004 566000 578755 926008 1132000 1157510 1852016 2315020 2893775 3704032 4630040 5787550 9260080 11575100 14468875 18520160 23150200 28937750 32757533 46300400 57875500 65515066 92600800 115751000 131030132 163787665 231502000 262060264 327575330 463004000 524120528 655150660 818938325 1048241056 1310301320 1637876650 2620602640 3275753300 4094691625 5241205280 6551506600 8189383250 13103013200 16378766500 26206026400 32757533000 65515066000 131030132000