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330313331010132 = 223219796136065771
BaseRepresentation
bin100101100011010110001000…
…0110000100110101001010100
31121022112122102222012212002100
41023012230100300212221110
5321243323200214311012
63130303503250242100
7126401231160622461
oct11306542060465124
91538478388185070
10330313331010132
1196280108117018
1231068b2a286330
131124054b4ac132
145b7d371616668
15282c31b3308dc
hex12c6b10c26a54

330313331010132 has 72 divisors (see below), whose sum is σ = 878915077054560. Its totient is φ = 104308145547840.

The previous prime is 330313331010077. The next prime is 330313331010133. The reversal of 330313331010132 is 231010133313033.

330313331010132 is a `hidden beast` number, since 3 + 3 + 0 + 313 + 3 + 310 + 1 + 0 + 1 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 330313331010096 and 330313331010105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330313331010133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51422407 + ... + 57488177.

It is an arithmetic number, because the mean of its divisors is an integer number (12207153847980).

Almost surely, 2330313331010132 is an apocalyptic number.

It is an amenable number.

330313331010132 is an abundant number, since it is smaller than the sum of its proper divisors (548601746044428).

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

330313331010132 is a wasteful number, since it uses less digits than its factorization.

330313331010132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145413 (or 6145408 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 330313331010132 its reverse (231010133313033), we get a palindrome (561323464323165).

The spelling of 330313331010132 in words is "three hundred thirty trillion, three hundred thirteen billion, three hundred thirty-one million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 79613 159226 238839 318452 477678 716517 955356 1433034 1512647 2866068 3025294 4537941 6050588 6065771 9075882 12131542 13613823 18151764 18197313 24263084 27227646 36394626 54455292 54591939 72789252 109183878 115249649 218367756 230499298 345748947 460998596 691497894 1037246841 1382995788 2074493682 4148987364 482914226623 965828453246 1448742679869 1931656906492 2897485359738 4346228039607 5794970719476 8692456079214 9175370305837 17384912158428 18350740611674 27526110917511 36701481223348 55052221835022 82578332752533 110104443670044 165156665505066 330313331010132