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11307146501 = 741109361447
BaseRepresentation
bin10101000011111010…
…10101110100000101
31002012000101120000202
422201331111310011
5141124112142001
65105555220245
7550126105460
oct124175256405
932160346022
1011307146501
114882653582
1222368a7685
1310b2758241
147939c42d7
15462a1096b
hex2a1f55d05

11307146501 has 16 divisors (see below), whose sum is σ = 13359118080. Its totient is φ = 9368680320.

The previous prime is 11307146479. The next prime is 11307146507. The reversal of 11307146501 is 10564170311.

It is a happy number.

11307146501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11307146501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11307146507) 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 15 ways as a sum of consecutive naturals, for example, 149441 + ... + 212006.

It is an arithmetic number, because the mean of its divisors is an integer number (834944880).

Almost surely, 211307146501 is an apocalyptic number.

It is an amenable number.

11307146501 is a deficient number, since it is larger than the sum of its proper divisors (2051971579).

11307146501 is a wasteful number, since it uses less digits than its factorization.

11307146501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361604.

The product of its (nonzero) digits is 2520, while the sum is 29.

The spelling of 11307146501 in words is "eleven billion, three hundred seven million, one hundred forty-six thousand, five hundred one".

Divisors: 1 7 41 109 287 763 4469 31283 361447 2530129 14819327 39397723 103735289 275784061 1615306643 11307146501