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1134002024010 = 2325223227248909
BaseRepresentation
bin10000100000000111110…
…010011010111001001010
311000102001112212112222100
4100200013302122321022
5122034414004232020
62224541530534230
7144633425106612
oct20400762327112
94012045775870
101134002024010
113a7a22640989
1216393ab97376
1382c223200cb
143cc59231a42
151e770aeea90
hex10807c9ae4a

1134002024010 has 96 divisors (see below), whose sum is σ = 2974685575680. Its totient is φ = 299717092224.

The previous prime is 1134002023997. The next prime is 1134002024047. The reversal of 1134002024010 is 104202004311.

1134002024010 is a `hidden beast` number, since 1 + 1 + 3 + 400 + 20 + 240 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 4431436 + ... + 4680344.

It is an arithmetic number, because the mean of its divisors is an integer number (30986308080).

Almost surely, 21134002024010 is an apocalyptic number.

1134002024010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134002024010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487342787840).

1134002024010 is an abundant number, since it is smaller than the sum of its proper divisors (1840683551670).

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

1134002024010 is a wasteful number, since it uses less digits than its factorization.

1134002024010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249372 (or 249369 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1134002024010 its reverse (104202004311), we get a palindrome (1238204028321).

The spelling of 1134002024010 in words is "one trillion, one hundred thirty-four billion, two million, twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 227 446 454 669 681 1115 1135 1338 1362 2007 2043 2230 2270 3345 3405 4014 4086 6690 6810 10035 10215 20070 20430 50621 101242 151863 248909 253105 303726 455589 497818 506210 746727 759315 911178 1244545 1493454 1518630 2240181 2277945 2489090 3733635 4480362 4555890 7467270 11200905 22401810 55506707 56502343 111013414 113004686 166520121 169507029 277533535 282511715 333040242 339014058 499560363 508521087 555067070 565023430 832600605 847535145 999120726 1017042174 1665201210 1695070290 2497801815 2542605435 4995603630 5085210870 12600022489 25200044978 37800067467 63000112445 75600134934 113400202401 126000224890 189000337335 226800404802 378000674670 567001012005 1134002024010