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145122352000201 = 1303323833467209
BaseRepresentation
bin100000111111110011101110…
…001111010110110011001001
3201000211120011020020021020101
4200333303232033112303021
5123010141034103001301
61232352142123325401
742365513111633122
oct4077635617266311
9630746136207211
10145122352000201
1142271053410444
1214339826080861
1362c8c9603cb04
1427b9d60503049
1511b9e73407701
hex83fcee3d6cc9

145122352000201 has 8 divisors (see below), whose sum is σ = 145139887246760. Its totient is φ = 145104817761792.

The previous prime is 145122352000189. The next prime is 145122352000231. The reversal of 145122352000201 is 102000253221541.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86354719340176 + 58767632660025 = 9292724^2 + 7666005^2 .

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 145122352000201 - 233 = 145113762065609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145122352000201.

It is not an unprimeable number, because it can be changed into a prime (145122352000231) 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, 310381885 + ... + 310849093.

It is an arithmetic number, because the mean of its divisors is an integer number (18142485905845).

Almost surely, 2145122352000201 is an apocalyptic number.

It is an amenable number.

145122352000201 is a deficient number, since it is larger than the sum of its proper divisors (17535246559).

145122352000201 is a wasteful number, since it uses less digits than its factorization.

145122352000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504075.

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 145122352000201 in words is "one hundred forty-five trillion, one hundred twenty-two billion, three hundred fifty-two million, two hundred one", and thus it is an aban number.

Divisors: 1 13033 23833 467209 310615489 6089134897 11134992097 145122352000201