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123011033033031 = 311213109239148461
BaseRepresentation
bin11011111110000010111100…
…111011010110100101000111
3121010112201222101122110102120
4123332002330323112211013
5112110403043424024111
61113342253300341023
734624153033524303
oct3376027473264507
9533481871573376
10123011033033031
113621676028aa00
12119684420a4773
135383b7697b890
142253aa1394d03
15e34bec7b1406
hex6fe0bced6947

123011033033031 has 48 divisors (see below), whose sum is σ = 195929551947360. Its totient is φ = 68186008915200.

The previous prime is 123011033033003. The next prime is 123011033033171. The reversal of 123011033033031 is 130330330110321.

It is not a de Polignac number, because 123011033033031 - 215 = 123011033000263 is a prime.

It is a super-2 number, since 2×1230110330330312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123011033032992 and 123011033033010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123011033038031) 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, 119059860 + ... + 120088601.

It is an arithmetic number, because the mean of its divisors is an integer number (4081865665570).

Almost surely, 2123011033033031 is an apocalyptic number.

123011033033031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123011033033031 is a deficient number, since it is larger than the sum of its proper divisors (72918518914329).

123011033033031 is a wasteful number, since it uses less digits than its factorization.

123011033033031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239148608 (or 239148597 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 123011033033031 its reverse (130330330110321), we get a palindrome (253341363143352).

The spelling of 123011033033031 in words is "one hundred twenty-three trillion, eleven billion, thirty-three million, thirty-three thousand, thirty-one".

Divisors: 1 3 11 13 33 39 109 121 143 327 363 429 1199 1417 1573 3597 4251 4719 13189 15587 39567 46761 171457 514371 239148461 717445383 2630633071 3108929993 7891899213 9326789979 26067182249 28936963781 34198229923 78201546747 86810891343 102594689769 286739004739 338873369237 376180529153 860217014217 1016620107711 1128541587459 3154129052129 3727607061607 9462387156387 11182821184821 41003677677677 123011033033031