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311130241303041 = 355479568941077
BaseRepresentation
bin100011010111110001010011…
…1100000110000001000000001
31111210121202112110120222100000
41012233202213200300020001
5311240024213233144131
63021415132030550213
7122351263264531236
oct10657424740601001
91453552473528300
10311130241303041
119015465a081066
122aa8b160368369
131047b5c06b9654
1456b8ad952b78d
1525e8329143ce6
hex11af8a7830201

311130241303041 has 48 divisors (see below), whose sum is σ = 466233525430400. Its totient is φ = 207340802621568.

The previous prime is 311130241302989. The next prime is 311130241303067. The reversal of 311130241303041 is 140303142031113.

311130241303041 is a `hidden beast` number, since 3 + 1 + 11 + 302 + 4 + 1 + 303 + 0 + 41 = 666.

It is not a de Polignac number, because 311130241303041 - 210 = 311130241302017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 311130241302996 and 311130241303014.

It is not an unprimeable number, because it can be changed into a prime (311130241303241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7574296995 + ... + 7574338071.

Almost surely, 2311130241303041 is an apocalyptic number.

It is an amenable number.

311130241303041 is a deficient number, since it is larger than the sum of its proper divisors (155103284127359).

311130241303041 is an equidigital number, since it uses as much as digits as its factorization.

311130241303041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52260 (or 52248 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 311130241303041 its reverse (140303142031113), we get a palindrome (451433383334154).

The spelling of 311130241303041 in words is "three hundred eleven trillion, one hundred thirty billion, two hundred forty-one million, three hundred three thousand, forty-one".

Divisors: 1 3 9 27 81 243 5479 5689 16437 17067 41077 49311 51201 123231 147933 153603 369693 443799 460809 1109079 1331397 1382427 3327237 9981711 31170031 93510093 225060883 233687053 280530279 675182649 701061159 841590837 2025547947 2103183477 2524772511 6076643841 6309550431 7574317533 18229931523 18928651293 54689794569 56785953879 1280371363387 3841114090161 11523342270483 34570026811449 103710080434347 311130241303041