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13102501344 = 2536119311593
BaseRepresentation
bin11000011001111100…
…00100110111100000
31020211010200000212120
430030332010313200
5203313220020334
610004052024240
7642456265242
oct141476046740
936733600776
1013102501344
115614025209
122658002080
13130a6acb9a
148c420c092
1551a44c949
hex30cf84de0

13102501344 has 96 divisors (see below), whose sum is σ = 35142063264. Its totient is φ = 4273274880.

The previous prime is 13102501343. The next prime is 13102501361. The reversal of 13102501344 is 44310520131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102501343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124412 + ... + 1136004.

It is an arithmetic number, because the mean of its divisors is an integer number (366063159).

Almost surely, 213102501344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102501344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571031632).

13102501344 is an abundant number, since it is smaller than the sum of its proper divisors (22039561920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13102501344 is a wasteful number, since it uses less digits than its factorization.

13102501344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11860 (or 11852 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 13102501344 in words is "thirteen billion, one hundred two million, five hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 193 244 366 386 488 579 732 772 976 1158 1464 1544 1952 2316 2928 3088 4632 5856 6176 9264 11593 11773 18528 23186 23546 34779 35319 46372 47092 69558 70638 92744 94184 139116 141276 185488 188368 278232 282552 370976 376736 556464 565104 707173 1112928 1130208 1414346 2121519 2237449 2828692 4243038 4474898 5657384 6712347 8486076 8949796 11314768 13424694 16972152 17899592 22629536 26849388 33944304 35799184 53698776 67888608 71598368 107397552 136484389 214795104 272968778 409453167 545937556 818906334 1091875112 1637812668 2183750224 3275625336 4367500448 6551250672 13102501344