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131201003310 = 23513675021087
BaseRepresentation
bin111101000110000110…
…0000110111100101110
3110112122121211112102220
41322030030012330232
54122144424101220
6140134540500210
712323166061506
oct1721414067456
9415577745386
10131201003310
1150707600753
1221516b4a666
13c4ab95a890
1464c8bbaa06
15362d4eb540
hex1e8c306f2e

131201003310 has 64 divisors (see below), whose sum is σ = 344165455872. Its totient is φ = 31813600896.

The previous prime is 131201003293. The next prime is 131201003317. The reversal of 131201003310 is 13300102131.

It is a super-2 number, since 2×1312010033102 (a number of 23 digits) contains 22 as substring.

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 131201003310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201003317) 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 31 ways as a sum of consecutive naturals, for example, 2484414 + ... + 2536673.

It is an arithmetic number, because the mean of its divisors is an integer number (5377585248).

Almost surely, 2131201003310 is an apocalyptic number.

131201003310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131201003310 is an abundant number, since it is smaller than the sum of its proper divisors (212964452562).

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

131201003310 is a wasteful number, since it uses less digits than its factorization.

131201003310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021177.

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

Adding to 131201003310 its reverse (13300102131), we get a palindrome (144501105441).

The spelling of 131201003310 in words is "one hundred thirty-one billion, two hundred one million, three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 130 134 195 201 335 390 402 670 871 1005 1742 2010 2613 4355 5226 8710 13065 26130 5021087 10042174 15063261 25105435 30126522 50210870 65274131 75316305 130548262 150632610 195822393 326370655 336412829 391644786 652741310 672825658 979111965 1009238487 1682064145 1958223930 2018476974 3364128290 4373366777 5046192435 8746733554 10092384870 13120100331 21866833885 26240200662 43733667770 65600501655 131201003310