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1130144230112 = 25612114336337
BaseRepresentation
bin10000011100100001110…
…110000110101011100000
311000001002200202022121212
4100130201312012223200
5122004013410330422
62223103041005252
7144436012312232
oct20344166065340
94001080668555
101130144230112
113a6322a56267
12163043023828
1382758ccbc21
143c9b0b38252
151e5e70b99e2
hex10721d86ae0

1130144230112 has 96 divisors (see below), whose sum is σ = 2277771025824. Its totient is φ = 551809843200.

The previous prime is 1130144230081. The next prime is 1130144230121. The reversal of 1130144230112 is 2110324410311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178337408 + ... + 178343744.

It is an arithmetic number, because the mean of its divisors is an integer number (23726781519).

Almost surely, 21130144230112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130144230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138885512912).

1130144230112 is an abundant number, since it is smaller than the sum of its proper divisors (1147626795712).

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

1130144230112 is a wasteful number, since it uses less digits than its factorization.

1130144230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1130144230112 its reverse (2110324410311), we get a palindrome (3240468640423).

The spelling of 1130144230112 in words is "one trillion, one hundred thirty billion, one hundred forty-four million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 122 211 244 422 433 488 844 866 976 1688 1732 1952 3376 3464 6337 6752 6928 12674 12871 13856 25348 25742 26413 50696 51484 52826 91363 101392 102968 105652 182726 202784 205936 211304 365452 386557 411872 422608 730904 773114 845216 1337107 1461808 1546228 2674214 2743921 2923616 3092456 5348428 5487842 5573143 6184912 10696856 10975684 11146286 12369824 21393712 21951368 22292572 42787424 43902736 44585144 81563527 87805472 89170288 163127054 167379181 178340576 326254108 334758362 578967331 652508216 669516724 1157934662 1305016432 1339033448 2315869324 2610032864 2678066896 4631738648 5356133792 9263477296 18526954592 35317007191 70634014382 141268028764 282536057528 565072115056 1130144230112