Search a number
-
+
2331313402041 = 32131710912378693
BaseRepresentation
bin100001111011001101000…
…110110111000010111001
322020212112020110111222100
4201323031012313002321
5301144012212331131
64542553545014013
7330301055645631
oct41731506670271
98225466414870
102331313402041
11819782702548
123179a8184309
1313bac38a6230
1480b9c6496c1
15409997517e6
hex21ecd1b70b9

2331313402041 has 96 divisors (see below), whose sum is σ = 3878616661920. Its totient is φ = 1336639905792.

The previous prime is 2331313402039. The next prime is 2331313402043. The reversal of 2331313402041 is 1402043131332.

It is a happy number.

2331313402041 is a `hidden beast` number, since 2 + 3 + 313 + 1 + 340 + 2 + 0 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2331313402039) and next prime (2331313402043).

It can be written as a sum of positive squares in 16 ways, for example, as 504412448400 + 1826900953641 = 710220^2 + 1351629^2 .

It is not a de Polignac number, because 2331313402041 - 21 = 2331313402039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2331313401996 and 2331313402014.

It is not an unprimeable number, because it can be changed into a prime (2331313402043) 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, 268178491 + ... + 268187183.

It is an arithmetic number, because the mean of its divisors is an integer number (40402256895).

Almost surely, 22331313402041 is an apocalyptic number.

It is an amenable number.

2331313402041 is a deficient number, since it is larger than the sum of its proper divisors (1547303259879).

2331313402041 is a wasteful number, since it uses less digits than its factorization.

2331313402041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10075 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2331313402041 its reverse (1402043131332), we get a palindrome (3733356533373).

The spelling of 2331313402041 in words is "two trillion, three hundred thirty-one billion, three hundred thirteen million, four hundred two thousand, forty-one".

Divisors: 1 3 9 13 17 39 51 109 117 153 221 327 663 981 1237 1417 1853 1989 3711 4251 5559 8693 11133 12753 16081 16677 21029 24089 26079 48243 63087 72267 78237 113009 134833 144729 147781 189261 216801 273377 339027 404499 443343 820131 947537 1017081 1213497 1330029 1752829 1921153 2292161 2460393 2842611 5258487 5763459 6876483 8527833 10753241 12317981 15775461 16108129 17290377 20629449 29798093 32259723 36953943 48324387 89394279 96779169 110861829 139792133 144973161 182805097 209405677 268182837 419376399 548415291 628217031 1172103269 1258129197 1645245873 1884651093 2376466261 3516309807 7129398783 10548929421 15237342497 19925755573 21388196349 45712027491 59777266719 137136082473 179331800157 259034822449 777104467347 2331313402041