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3130312332301 = 7211233121032551
BaseRepresentation
bin101101100011010101001…
…001111001010000001101
3102002020212211220122102221
4231203111021321100031
5402241334424113201
610354013505015341
7442105025543200
oct55432511712015
912066784818387
103130312332301
11aa7615782780
12426813324551
1319925832c83b
14ab717a65937
155665ec004a1
hex2d8d527940d

3130312332301 has 144 divisors (see below), whose sum is σ = 4326439163904. Its totient is φ = 2235091320000.

The previous prime is 3130312332289. The next prime is 3130312332313. The reversal of 3130312332301 is 1032332130313.

It is an interprime number because it is at equal distance from previous prime (3130312332289) and next prime (3130312332313).

It is not a de Polignac number, because 3130312332301 - 237 = 2992873378829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130312332391) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1227090976 + ... + 1227093526.

It is an arithmetic number, because the mean of its divisors is an integer number (30044716416).

Almost surely, 23130312332301 is an apocalyptic number.

3130312332301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3130312332301 is a deficient number, since it is larger than the sum of its proper divisors (1196126831603).

3130312332301 is a wasteful number, since it uses less digits than its factorization.

3130312332301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 3130312332301 its reverse (1032332130313), we get a palindrome (4162644462614).

The spelling of 3130312332301 in words is "three trillion, one hundred thirty billion, three hundred twelve million, three hundred thirty-two thousand, three hundred one".

Divisors: 1 7 11 23 31 49 77 103 161 217 253 341 539 713 721 961 1127 1133 1519 1771 2369 2387 2551 3193 4991 5047 6727 7843 7931 10571 12397 16583 16709 17857 22103 22351 26059 28061 34937 35123 47089 54901 55517 58673 73439 73997 79081 98983 116081 124999 154721 156457 182413 196427 243133 245861 262753 384307 410711 514073 517979 553567 645403 692881 807829 869891 1083047 1088813 1276891 1374989 1701931 1721027 1818863 1839271 2276609 2451511 2874977 2890283 3598511 3874969 4517821 4850167 5654803 6043319 6089237 7621691 8145343 11913517 12732041 12874897 15936263 17160577 20007493 20231981 25042699 26966621 31624747 39583621 42303233 42624659 53351837 56384753 57017401 66476509 89124287 89598773 111553841 120124039 140052451 141623867 175298893 187342889 188766347 252505633 296122631 394693271 399121807 465335563 620232283 627191411 980367157 1227092251 1311400223 1321364429 1767539431 2060771779 2762852897 2777561963 3257348941 4341625981 4390339877 5807629559 9179801561 12372776017 14425402453 19442933741 30391381867 40653406913 63883925149 100977817171 136100536187 284573848391 447187476043 3130312332301