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145101541 = 132858589
BaseRepresentation
bin10001010011000…
…01001011100101
3101010000220220011
420221201023211
5244121222131
622222010221
73411225364
oct1051411345
9333026804
10145101541
11749a6a32
1240716971
13240a5400
14153b17db
15cb130b1
hex8a612e5

145101541 has 6 divisors (see below), whose sum is σ = 157121970. Its totient is φ = 133939728.

The previous prime is 145101527. The next prime is 145101547.

It is a happy number.

145101541 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 8702500 + 136399041 = 2950^2 + 11679^2 .

It is not a de Polignac number, because 145101541 - 219 = 144577253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145101547) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 429126 + ... + 429463.

It is an arithmetic number, because the mean of its divisors is an integer number (26186995).

Almost surely, 2145101541 is an apocalyptic number.

It is an amenable number.

145101541 is a deficient number, since it is larger than the sum of its proper divisors (12020429).

145101541 is an equidigital number, since it uses as much as digits as its factorization.

145101541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858615 (or 858602 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 145101541 is about 12045.8101014419. The cubic root of 145101541 is about 525.4813918680.

The spelling of 145101541 in words is "one hundred forty-five million, one hundred one thousand, five hundred forty-one".

Divisors: 1 13 169 858589 11161657 145101541