Search a number
-
+
131031011100 = 223521139706367
BaseRepresentation
bin111101000001000001…
…1101000111100011100
3110112012202222000222010
41322002003220330130
54121322414323400
6140110025151220
712316033134423
oct1720203507434
9415182860863
10131031011100
115062a654020
122148a02b510
13c48267bc82
1464b03aa2ba
15361d61d450
hex1e820e8f1c

131031011100 has 72 divisors (see below), whose sum is σ = 413581529088. Its totient is φ = 31765092800.

The previous prime is 131031011093. The next prime is 131031011149. The reversal of 131031011100 is 1110130131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19849884 + ... + 19856483.

It is an arithmetic number, because the mean of its divisors is an integer number (5744187904).

Almost surely, 2131031011100 is an apocalyptic number.

131031011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131031011100 is an abundant number, since it is smaller than the sum of its proper divisors (282550517988).

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

131031011100 is a wasteful number, since it uses less digits than its factorization.

131031011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39706395 (or 39706388 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 131031011100 its reverse (1110130131), we get a palindrome (132141141231).

The spelling of 131031011100 in words is "one hundred thirty-one billion, thirty-one million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 39706367 79412734 119119101 158825468 198531835 238238202 397063670 436770037 476476404 595595505 794127340 873540074 992659175 1191191010 1310310111 1747080148 1985318350 2183850185 2382382020 2620620222 2977977525 3970636700 4367700370 5241240444 5955955050 6551550555 8735400740 10919250925 11911910100 13103101110 21838501850 26206202220 32757752775 43677003700 65515505550 131031011100