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123011020032 = 283160170599
BaseRepresentation
bin111001010010000000…
…1110011010100000000
3102202111211221021110220
41302210001303110000
54003411310120112
6132302133023040
711613220263315
oct1624401632400
9382454837426
10123011020032
114819457202a
121ba10184a80
13b7a4c59824
145d4d1bad0c
1532ee4c498c
hex1ca4073500

123011020032 has 36 divisors (see below), whose sum is σ = 327388706400. Its totient is φ = 41003673088.

The previous prime is 123011020003. The next prime is 123011020049. The reversal of 123011020032 is 230020110321.

It is a super-2 number, since 2×1230110200322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123011019993 and 123011020020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80084532 + ... + 80086067.

Almost surely, 2123011020032 is an apocalyptic number.

123011020032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123011020032 is an abundant number, since it is smaller than the sum of its proper divisors (204377686368).

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

123011020032 is an equidigital number, since it uses as much as digits as its factorization.

123011020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160170618 (or 160170604 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123011020032 its reverse (230020110321), we get a palindrome (353031130353).

The spelling of 123011020032 in words is "one hundred twenty-three billion, eleven million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 160170599 320341198 480511797 640682396 961023594 1281364792 1922047188 2562729584 3844094376 5125459168 7688188752 10250918336 15376377504 20501836672 30752755008 41003673344 61505510016 123011020032