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1130433430441 = 7319614875839
BaseRepresentation
bin10000011100110011000…
…101010100001110101001
311000001211211221012220011
4100130303011110032221
5122010111424233231
62223151451331521
7144446123422000
oct20346305241651
94001754835804
101130433430441
113a64612237a7
12163103a50ba1
13827a3bb8193
143c9db2d9c37
151e6126939b1
hex107331543a9

1130433430441 has 64 divisors (see below), whose sum is σ = 1413560320000. Its totient is φ = 900889335360.

The previous prime is 1130433430433. The next prime is 1130433430493. The reversal of 1130433430441 is 1440343340311.

It is a happy number.

It is not a de Polignac number, because 1130433430441 - 23 = 1130433430433 is a prime.

It is a super-3 number, since 3×11304334304413 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1130433434441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193597600 + ... + 193603438.

It is an arithmetic number, because the mean of its divisors is an integer number (22086880000).

Almost surely, 21130433430441 is an apocalyptic number.

It is an amenable number.

1130433430441 is a deficient number, since it is larger than the sum of its proper divisors (283126889559).

1130433430441 is an equidigital number, since it uses as much as digits as its factorization.

1130433430441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 1130433430441 its reverse (1440343340311), we get a palindrome (2570776770752).

The spelling of 1130433430441 in words is "one trillion, one hundred thirty billion, four hundred thirty-three million, four hundred thirty thousand, four hundred forty-one".

Divisors: 1 7 19 49 61 133 343 427 487 931 1159 2989 3409 5839 6517 8113 9253 20923 23863 29707 40873 56791 64771 110941 167041 207949 286111 356179 397537 453397 564433 776587 1455643 2002777 2493253 2843593 3173779 3951031 5436109 6767401 10189501 17452771 19905151 27657217 38052763 47371807 54028267 122169397 139336057 173459173 193600519 331602649 378197869 975352399 1214214211 2321218543 2647385083 3295724287 8499499477 18531695581 23070070009 59496496339 161490490063 1130433430441