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152811122023 = 7231227443171
BaseRepresentation
bin1000111001010001000…
…0001010110101100111
3112121102200002022100001
42032110100022311213
510000424121401043
6154111144402131
714016542051200
oct2162420126547
9477380068301
10152811122023
115989699279a
1225748176347
1311543aa1b81
147578c6c5a7
153e957b474d
hex239440ad67

152811122023 has 24 divisors (see below), whose sum is σ = 184302825984. Its totient is φ = 126197089200.

The previous prime is 152811121999. The next prime is 152811122047. The reversal of 152811122023 is 320221118251.

It is an interprime number because it is at equal distance from previous prime (152811121999) and next prime (152811122047).

It is not a de Polignac number, because 152811122023 - 217 = 152810990951 is a prime.

It is a super-2 number, since 2×1528111220232 (a number of 23 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 = 152811121982 and 152811122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152811122423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123228 + ... + 566398.

It is an arithmetic number, because the mean of its divisors is an integer number (7679284416).

Almost surely, 2152811122023 is an apocalyptic number.

152811122023 is a deficient number, since it is larger than the sum of its proper divisors (31491703961).

152811122023 is a wasteful number, since it uses less digits than its factorization.

152811122023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443443 (or 443436 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 152811122023 in words is "one hundred fifty-two billion, eight hundred eleven million, one hundred twenty-two thousand, twenty-three".

Divisors: 1 7 31 49 217 227 1519 1589 7037 11123 49259 344813 443171 3102197 13738301 21715379 96168107 100599817 673176749 704198719 3118594327 4929391033 21830160289 152811122023