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1134332114232 = 2331012631779311
BaseRepresentation
bin10000100000011011011…
…101100111010100111000
311000102220112222212122010
4100200123131213110320
5122041103010123412
62225034401525520
7144644543612022
oct20403335472470
94012815885563
101134332114232
113a80819a7619
12163a116438a0
1382c75824c75
143cc8add9012
151e78eaa433c
hex1081b767538

1134332114232 has 64 divisors (see below), whose sum is σ = 2874798812160. Its totient is φ = 372943376000.

The previous prime is 1134332114231. The next prime is 1134332114261. The reversal of 1134332114232 is 2324112334311.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1134332114232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134332114231) 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 15 ways as a sum of consecutive naturals, for example, 252144 + ... + 1527167.

It is an arithmetic number, because the mean of its divisors is an integer number (44918731440).

Almost surely, 21134332114232 is an apocalyptic number.

1134332114232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1134332114232 is an abundant number, since it is smaller than the sum of its proper divisors (1740466697928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1134332114232 is a wasteful number, since it uses less digits than its factorization.

1134332114232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779684 (or 1779680 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 1134332114232 its reverse (2324112334311), we get a palindrome (3458444448543).

The spelling of 1134332114232 in words is "one trillion, one hundred thirty-four billion, three hundred thirty-two million, one hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 101 202 263 303 404 526 606 789 808 1052 1212 1578 2104 2424 3156 6312 26563 53126 79689 106252 159378 212504 318756 637512 1779311 3558622 5337933 7117244 10675866 14234488 21351732 42703464 179710411 359420822 467958793 539131233 718841644 935917586 1078262466 1403876379 1437683288 1871835172 2156524932 2807752758 3743670344 4313049864 5615505516 11231011032 47263838093 94527676186 141791514279 189055352372 283583028558 378110704744 567166057116 1134332114232