Search a number
-
+
10346232146601 = 3132318269631357
BaseRepresentation
bin1001011010001110101101…
…1111011110101010101001
31100122002102201002200000110
42112203223133132222221
52324003040412142401
634000554325324533
72115330164132241
oct226435337365251
940562381080013
1010346232146601
1133298a335933a
1211b1204266749
135a08512367a0
1427aa903dab21
1512e1e12ca9d6
hex968eb7deaa9

10346232146601 has 32 divisors (see below), whose sum is σ = 15502919927040. Its totient is φ = 6089746823424.

The previous prime is 10346232146587. The next prime is 10346232146611. The reversal of 10346232146601 is 10664123264301.

It is not a de Polignac number, because 10346232146601 - 214 = 10346232130217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10346232146601.

It is not an unprimeable number, because it can be changed into a prime (10346232146611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16071615 + ... + 16702971.

It is an arithmetic number, because the mean of its divisors is an integer number (484466247720).

Almost surely, 210346232146601 is an apocalyptic number.

It is an amenable number.

10346232146601 is a deficient number, since it is larger than the sum of its proper divisors (5156687780439).

10346232146601 is a wasteful number, since it uses less digits than its factorization.

10346232146601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649665.

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 10346232146601 in words is "ten trillion, three hundred forty-six billion, two hundred thirty-two million, one hundred forty-six thousand, six hundred one".

Divisors: 1 3 13 23 39 69 299 897 18269 54807 237497 420187 631357 712491 1260561 1894071 5462431 8207641 14521211 16387293 24622923 43563633 188775743 566327229 11534261033 34602783099 149945393429 265288003759 449836180287 795864011277 3448744048867 10346232146601