Search a number
-
+
131030023020 = 2235132412711163
BaseRepresentation
bin111101000000111111…
…1110111101101101100
3110112012201002211120120
41322001333313231230
54121322141214040
6140105552044540
712316021550631
oct1720177675554
9415181084516
10131030023020
115062a039726
1221489833750
13c4823c4300
1464b01d0188
15361d4c57d0
hex1e81ff7b6c

131030023020 has 288 divisors, whose sum is σ = 408819446784. Its totient is φ = 31323801600.

The previous prime is 131030023013. The next prime is 131030023031. The reversal of 131030023020 is 20320030131.

It is a super-5 number, since 5×1310300230205 (a number of 57 digits) contains 55555 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112664959 + ... + 112666121.

It is an arithmetic number, because the mean of its divisors is an integer number (1419511968).

Almost surely, 2131030023020 is an apocalyptic number.

131030023020 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 131030023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204409723392).

131030023020 is an abundant number, since it is smaller than the sum of its proper divisors (277789423764).

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

131030023020 is a wasteful number, since it uses less digits than its factorization.

131030023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 131030023020 its reverse (20320030131), we get a palindrome (151350053151).

The spelling of 131030023020 in words is "one hundred thirty-one billion, thirty million, twenty-three thousand, twenty".