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1101002012112 = 243731403322391
BaseRepresentation
bin10000000001011000110…
…101010111010111010000
310220020212201112020221110
4100001120311113113100
5121014323003341422
62201443210053320
7142354566455442
oct20013065272720
93806781466843
101101002012112
11394a28a29582
1215946b41a240
137ca9356b252
143b4085ba492
151d98d92d60c
hex10058d575d0

1101002012112 has 80 divisors (see below), whose sum is σ = 2883551833728. Its totient is φ = 361931304960.

The previous prime is 1101002012107. The next prime is 1101002012113. The reversal of 1101002012112 is 2112102001011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101002012113) by changing a digit.

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, 49160437 + ... + 49182827.

Almost surely, 21101002012112 is an apocalyptic number.

1101002012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1101002012112 is an abundant number, since it is smaller than the sum of its proper divisors (1782549821616).

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

1101002012112 is a wasteful number, since it uses less digits than its factorization.

1101002012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36508 (or 36502 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1101002012112 its reverse (2112102001011), we get a palindrome (3213104013123).

It can be divided in two parts, 110100 and 2012112, that added together give a palindrome (2122212).

The spelling of 1101002012112 in words is "one trillion, one hundred one billion, two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 14033 22391 28066 42099 44782 56132 67173 84198 89564 112264 134346 168396 179128 224528 268692 336792 358256 537384 673584 1024409 1074768 1634543 2048818 3073227 3269086 4097636 4903629 6146454 6538172 8195272 9807258 12292908 13076344 16390544 19614516 24585816 26152688 39229032 49171632 78458064 314212903 628425806 942638709 1256851612 1885277418 2513703224 3770554836 5027406448 7541109672 15082219344 22937541919 45875083838 68812625757 91750167676 137625251514 183500335352 275250503028 367000670704 550501006056 1101002012112