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332001012123 = 321161463118739
BaseRepresentation
bin1001101010011001100…
…11010110100110011011
31011201221201110212201100
410311030303112212123
520414414224341443
6412304045522443
732662203016644
oct4651463264633
91151851425640
10332001012123
11118889a09360
1254416573423
13253cc933941
14120d722a6cb
158981cea3d3
hex4d4ccd699b

332001012123 has 48 divisors (see below), whose sum is σ = 532882321920. Its totient is φ = 197485041600.

The previous prime is 332001012113. The next prime is 332001012137. The reversal of 332001012123 is 321210100233.

It is not a de Polignac number, because 332001012123 - 24 = 332001012107 is a prime.

It is a super-2 number, since 2×3320010121232 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332001012096 and 332001012105.

It is not an unprimeable number, because it can be changed into a prime (332001012113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2736688 + ... + 2855426.

It is an arithmetic number, because the mean of its divisors is an integer number (11101715040).

Almost surely, 2332001012123 is an apocalyptic number.

332001012123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

332001012123 is a deficient number, since it is larger than the sum of its proper divisors (200881309797).

332001012123 is a wasteful number, since it uses less digits than its factorization.

332001012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119280 (or 119277 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 332001012123 its reverse (321210100233), we get a palindrome (653211112356).

The spelling of 332001012123 in words is "three hundred thirty-two billion, one million, twelve thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 61 99 183 463 549 671 1389 2013 4167 5093 6039 15279 28243 45837 84729 118739 254187 310673 356217 932019 1068651 1306129 2796057 3918387 7243079 11755161 21729237 54976157 65187711 79673869 164928471 239021607 494785413 604737727 717064821 1814213181 3353545577 5442639543 10060636731 30181910193 36889001347 110667004041 332001012123