Search a number
-
+
131031003120 = 24353471573379
BaseRepresentation
bin111101000001000001…
…1100110111111110000
3110112012202221122000120
41322002003212333300
54121322414044440
6140110025050240
712316033102233
oct1720203467760
9415182848016
10131031003120
115062a649026
122148a026980
13c482678454
1464b03a741a
15361d61add0
hex1e820e6ff0

131031003120 has 80 divisors (see below), whose sum is σ = 407366962560. Its totient is φ = 34840882432.

The previous prime is 131031003109. The next prime is 131031003127. The reversal of 131031003120 is 21300130131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131031003120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031003127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703410 + ... + 869969.

It is an arithmetic number, because the mean of its divisors is an integer number (5092087032).

Almost surely, 2131031003120 is an apocalyptic number.

131031003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131031003120 is an abundant number, since it is smaller than the sum of its proper divisors (276335959440).

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

131031003120 is a wasteful number, since it uses less digits than its factorization.

131031003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573742 (or 1573736 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131031003120 its reverse (21300130131), we get a palindrome (152331133251).

The spelling of 131031003120 in words is "one hundred thirty-one billion, thirty-one million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 347 694 1041 1388 1735 2082 2776 3470 4164 5205 5552 6940 8328 10410 13880 16656 20820 27760 41640 83280 1573379 3146758 4720137 6293516 7866895 9440274 12587032 15733790 18880548 23600685 25174064 31467580 37761096 47201370 62935160 75522192 94402740 125870320 188805480 377610960 545962513 1091925026 1637887539 2183850052 2729812565 3275775078 4367700104 5459625130 6551550156 8189437695 8735400208 10919250260 13103100312 16378875390 21838500520 26206200624 32757750780 43677001040 65515501560 131031003120