Search a number
-
+
131001312102100 = 225211119092101911
BaseRepresentation
bin11101110010010100011110…
…101011000100011011010100
3122011211121021200101101221221
4131302110132223010123110
5114132311141344231400
61142341101051220124
736410350431144166
oct3562243653043324
9564747250341857
10131001312102100
1138817387536920
1212838b22447644
1358134a86352ab
14244c6d6996936
1510229a10e0c1a
hex77251eac46d4

131001312102100 has 36 divisors (see below), whose sum is σ = 310115833378848. Its totient is φ = 47636840764000.

The previous prime is 131001312102077. The next prime is 131001312102149. The reversal of 131001312102100 is 1201213100131.

It is a happy number.

It is a super-2 number, since 2×1310013121021002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59546049856 + ... + 59546052055.

It is an arithmetic number, because the mean of its divisors is an integer number (8614328704968).

Almost surely, 2131001312102100 is an apocalyptic number.

131001312102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001312102100 is an abundant number, since it is smaller than the sum of its proper divisors (179114521276748).

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

131001312102100 is a wasteful number, since it uses less digits than its factorization.

131001312102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119092101936 (or 119092101929 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131001312102100 its reverse (1201213100131), we get a palindrome (132202525202231).

The spelling of 131001312102100 in words is "one hundred thirty-one trillion, one billion, three hundred twelve million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 119092101911 238184203822 476368407644 595460509555 1190921019110 1310013121021 2381842038220 2620026242042 2977302547775 5240052484084 5954605095550 6550065605105 11909210191100 13100131210210 26200262420420 32750328025525 65500656051050 131001312102100