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12603123320431 = 723711102539001
BaseRepresentation
bin1011011101100110010010…
…1100000100011001101111
31122121211212100000021110011
42313121210230010121233
53122442144032223211
642445443411554051
72440355100444010
oct267314454043157
948554770007404
1012603123320431
114019a55608256
1214b66a05bb927
1370561444b997
14317dcc9ab007
1516cc82091921
hexb7664b0466f

12603123320431 has 16 divisors (see below), whose sum is σ = 15241499163648. Its totient is φ = 10187460360000.

The previous prime is 12603123320407. The next prime is 12603123320453. The reversal of 12603123320431 is 13402332130621.

It is a happy number.

It is not a de Polignac number, because 12603123320431 - 213 = 12603123312239 is a prime.

It is a super-2 number, since 2×126031233204312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12603123320393 and 12603123320402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12603123120431) 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 15 ways as a sum of consecutive naturals, for example, 551258070 + ... + 551280931.

It is an arithmetic number, because the mean of its divisors is an integer number (952593697728).

Almost surely, 212603123320431 is an apocalyptic number.

12603123320431 is a deficient number, since it is larger than the sum of its proper divisors (2638375843217).

12603123320431 is a wasteful number, since it uses less digits than its factorization.

12603123320431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102539102.

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 12603123320431 in words is "twelve trillion, six hundred three billion, one hundred twenty-three million, three hundred twenty thousand, four hundred thirty-one".

Divisors: 1 7 23 71 161 497 1633 11431 1102539001 7717773007 25358397023 78280269071 177508779161 547961883497 1800446188633 12603123320431