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3013132313103 = 3112731376011381
BaseRepresentation
bin101011110110001100101…
…011100110001000001111
3101200001102101000220100220
4223312030223212020033
5343331343333004403
610224114110322423
7430456141035153
oct53661453461017
911601371026326
103013132313103
11a61953702a00
12407b6bab9413
1318b1a244a183
14a5b9d065063
15535a25ce953
hex2bd8cae620f

3013132313103 has 96 divisors (see below), whose sum is σ = 4519880707776. Its totient is φ = 1783710720000.

The previous prime is 3013132313071. The next prime is 3013132313119.

3013132313103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3013132313103 - 25 = 3013132313071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013132313173) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2181847473 + ... + 2181848853.

It is an arithmetic number, because the mean of its divisors is an integer number (47082090706).

Almost surely, 23013132313103 is an apocalyptic number.

3013132313103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3013132313103 is a deficient number, since it is larger than the sum of its proper divisors (1506748394673).

3013132313103 is a wasteful number, since it uses less digits than its factorization.

3013132313103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

The spelling of 3013132313103 in words is "three trillion, thirteen billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred three".

Divisors: 1 3 11 33 73 121 137 219 363 411 601 803 1381 1507 1803 2409 4143 4521 6611 8833 10001 15191 16577 19833 26499 30003 43873 45573 49731 72721 82337 100813 110011 131619 167101 189197 218163 247011 302439 330033 482603 501303 567591 829981 905707 1108943 1210121 1447809 2081167 2489943 2717121 3326829 3630363 5308633 6010601 6243501 9129791 9962777 12198373 13811381 15925899 18031803 22892837 27389373 29888331 36595119 41434143 60588613 66116611 68678511 100427701 113707397 151925191 181765839 198349833 301283103 341122191 455775573 666474743 727282721 1250781367 1671177101 1999424229 2181848163 3752344101 5013531303 7331222173 8300639981 13758595037 21993666519 24901919943 41275785111 91307039791 273921119373 1004377437701 3013132313103