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13625380301 = 131910924643
BaseRepresentation
bin11001011000010001…
…01100110111001101
31022011120120000221212
430230020230313031
5210401044132201
610132011104205
7661435551551
oct145410546715
938146500855
1013625380301
115862198985
122783142065
131391b15910
1493383b861
1554b2d4abb
hex32c22cdcd

13625380301 has 24 divisors (see below), whose sum is σ = 15592137120. Its totient is φ = 11803454784.

The previous prime is 13625380289. The next prime is 13625380319. The reversal of 13625380301 is 10308352631.

13625380301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13625380301 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 (13625380361) 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, 2932286 + ... + 2936928.

It is an arithmetic number, because the mean of its divisors is an integer number (649672380).

Almost surely, 213625380301 is an apocalyptic number.

It is an amenable number.

13625380301 is a deficient number, since it is larger than the sum of its proper divisors (1966756819).

13625380301 is a wasteful number, since it uses less digits than its factorization.

13625380301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4893 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 13625380301 in words is "thirteen billion, six hundred twenty-five million, three hundred eighty thousand, three hundred one".

Divisors: 1 13 19 109 247 1417 2071 4643 11881 26923 60359 88217 154453 225739 506087 1146821 2934607 6579131 9615653 55163483 125003489 717125279 1048106177 13625380301