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123213332223003 = 31121319273194229
BaseRepresentation
bin11100000000111111010110…
…111001100001010000011011
3121011021002010222021002122010
4130000333112321201100123
5112122211401022114003
61114015231242201003
734644604143340131
oct3400772671412033
9534232128232563
10123213332223003
1136294531969600
121199b69b7b3163
135399c7641b299
14225d7b2973751
15e3a0dc9e7003
hex700fd6e6141b

123213332223003 has 48 divisors (see below), whose sum is σ = 180782109446400. Its totient is φ = 74590017902400.

The previous prime is 123213332222989. The next prime is 123213332223017. The reversal of 123213332223003 is 300322233312321.

It is an interprime number because it is at equal distance from previous prime (123213332222989) and next prime (123213332223017).

It is not a de Polignac number, because 123213332223003 - 25 = 123213332222971 is a prime.

It is a super-2 number, since 2×1232133322230032 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123213332223083) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1307547493 + ... + 1307641721.

It is an arithmetic number, because the mean of its divisors is an integer number (3766293946800).

Almost surely, 2123213332223003 is an apocalyptic number.

123213332223003 is a deficient number, since it is larger than the sum of its proper divisors (57568777223397).

123213332223003 is a wasteful number, since it uses less digits than its factorization.

123213332223003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98304 (or 98293 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 123213332223003 its reverse (300322233312321), we get a palindrome (423535565535324).

The spelling of 123213332223003 in words is "one hundred twenty-three trillion, two hundred thirteen billion, three hundred thirty-two million, two hundred twenty-three thousand, three".

Divisors: 1 3 11 33 121 363 1319 2731 3957 8193 14509 30041 43527 90123 94229 159599 282687 330451 478797 991353 1036519 3109557 3602189 10806567 11401709 34205127 39624079 118872237 124288051 257339399 372864153 435864869 772018197 1307594607 1367168561 2830733389 4101505683 8492200167 15038854171 31138067279 45116562513 93414201837 339430667281 1018292001843 3733737340091 11201212020273 41071110741001 123213332223003