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3013653225 = 352112834001
BaseRepresentation
bin1011001110100000…
…1011001011101001
321210000201110001010
42303220023023221
522132443400400
61215013014133
7134452426002
oct26350131351
97700643033
103013653225
111307146300
12701324349
13390484b7b
1420835c1a9
1512988e450
hexb3a0b2e9

3013653225 has 72 divisors (see below), whose sum is σ = 5544082656. Its totient is φ = 1443200000.

The previous prime is 3013653197. The next prime is 3013653241. The reversal of 3013653225 is 5223563103.

3013653225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3013653225 - 28 = 3013652969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3013653192 and 3013653201.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 751225 + ... + 755225.

It is an arithmetic number, because the mean of its divisors is an integer number (77001148).

Almost surely, 23013653225 is an apocalyptic number.

It is an amenable number.

3013653225 is a deficient number, since it is larger than the sum of its proper divisors (2530429431).

3013653225 is a wasteful number, since it uses less digits than its factorization.

3013653225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 3013653225 is about 54896.7505868972. The cubic root of 3013653225 is about 1444.4341881860.

It can be divided in two parts, 301365 and 3225, that added together give a triangular number (304590 = T780).

The spelling of 3013653225 in words is "three billion, thirteen million, six hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 83 121 165 249 275 363 415 605 825 913 1245 1815 2075 2739 3025 4001 4565 6225 9075 10043 12003 13695 20005 22825 30129 44011 50215 60015 68475 100025 132033 150645 220055 251075 300075 332083 484121 660165 753225 996249 1100275 1452363 1660415 2420605 3300825 3652913 4981245 7261815 8302075 10958739 12103025 18264565 24906225 36309075 40182043 54793695 91322825 120546129 200910215 273968475 602730645 1004551075 3013653225