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131310131020 = 22537886320021
BaseRepresentation
bin111101001001010110…
…0011001011101001100
3110112221020011210111221
41322102230121131030
54122410343143040
6140153435453124
712325662461215
oct1722254313514
9415836153457
10131310131020
1150763166a42
12215475b71a4
13c4c8448ba3
1464d94a640c
153637da574a
hex1e92b1974c

131310131020 has 48 divisors (see below), whose sum is σ = 283250112768. Its totient is φ = 51096165120.

The previous prime is 131310130999. The next prime is 131310131041. The reversal of 131310131020 is 20131013131.

It is an interprime number because it is at equal distance from previous prime (131310130999) and next prime (131310131041).

It is a junction number, because it is equal to n+sod(n) for n = 131310130985 and 131310131003.

It is an unprimeable number.

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, 6548610 + ... + 6568630.

It is an arithmetic number, because the mean of its divisors is an integer number (5901044016).

Almost surely, 2131310131020 is an apocalyptic number.

131310131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131310131020 is an abundant number, since it is smaller than the sum of its proper divisors (151939981748).

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

131310131020 is a wasteful number, since it uses less digits than its factorization.

131310131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28930 (or 28928 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131310131020 its reverse (20131013131), we get a palindrome (151441144151).

The spelling of 131310131020 in words is "one hundred thirty-one billion, three hundred ten million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 8863 17726 20021 35452 40042 44315 80084 88630 100105 177260 200210 327931 400420 655862 740777 1311724 1481554 1639655 2963108 3279310 3703885 6558620 7407770 14815540 177446123 354892246 709784492 887230615 1774461230 3548922460 6565506551 13131013102 26262026204 32827532755 65655065510 131310131020