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321121020121123 = 7313732108891123
BaseRepresentation
bin100100100000011101101000…
…0010101011001000000100011
31120002222212111000112122121011
41021000323100111121000203
5314042221322122333443
63054544543214041351
7124432141143356335
oct11100732025310043
91502885430478534
10321121020121123
1193356729283682
12300234a3aa9257
1310a247753021c1
1459424a9b0b455
15271d164769b9d
hex1240ed0559023

321121020121123 has 8 divisors (see below), whose sum is σ = 327895996158288. Its totient is φ = 314410261866624.

The previous prime is 321121020121117. The next prime is 321121020121147.

It is a happy number.

321121020121123 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 321121020121123 - 213 = 321121020112931 is a prime.

It is a super-2 number, since 2×3211210201211232 (a number of 30 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 = 321121020121094 and 321121020121103.

It is not an unprimeable number, because it can be changed into a prime (321121020121423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16054435561 + ... + 16054455562.

It is an arithmetic number, because the mean of its divisors is an integer number (40986999519786).

Almost surely, 2321121020121123 is an apocalyptic number.

321121020121123 is a deficient number, since it is larger than the sum of its proper divisors (6774976037165).

321121020121123 is a wasteful number, since it uses less digits than its factorization.

321121020121123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32108891333.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 321121020121123 in words is "three hundred twenty-one trillion, one hundred twenty-one billion, twenty million, one hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 73 137 10001 32108891123 2343949051979 4398918083851 321121020121123