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1331120331210 = 235671103600407
BaseRepresentation
bin10011010111101100111…
…101000101100111001010
311201020212001202002002210
4103113230331011213022
5133302113301044320
62455301440205550
7165112255062105
oct23275475054712
94636761662083
101331120331210
114735857a768a
12195b916098b6
13986a760b2c7
14485d870573c
152495b09e0e0
hex135ecf459ca

1331120331210 has 64 divisors (see below), whose sum is σ = 3245315715072. Its totient is φ = 349349833536.

The previous prime is 1331120331199. The next prime is 1331120331227. The reversal of 1331120331210 is 121330211331.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1916827 + ... + 2517233.

It is an arithmetic number, because the mean of its divisors is an integer number (50708058048).

Almost surely, 21331120331210 is an apocalyptic number.

1331120331210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331120331210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622657857536).

1331120331210 is an abundant number, since it is smaller than the sum of its proper divisors (1914195383862).

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

1331120331210 is a wasteful number, since it uses less digits than its factorization.

1331120331210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601587.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1331120331210 its reverse (121330211331), we get a palindrome (1452450542541).

The spelling of 1331120331210 in words is "one trillion, three hundred thirty-one billion, one hundred twenty million, three hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 1103 2010 2206 3309 5515 6618 11030 16545 33090 73901 147802 221703 369505 443406 600407 739010 1108515 1200814 1801221 2217030 3002035 3602442 6004070 9006105 18012210 40227269 80454538 120681807 201136345 241363614 402272690 603409035 662248921 1206818070 1324497842 1986746763 3311244605 3973493526 6622489210 9933733815 19867467630 44370677707 88741355414 133112033121 221853388535 266224066242 443706777070 665560165605 1331120331210