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11201014304004 = 22372393111793989
BaseRepresentation
bin1010001011111111000001…
…1110101000110100000100
31110122210202221112100022210
42202333300132220310010
52432004134130212004
635453401441423420
72234150401445010
oct242776036506404
943583687470283
1011201014304004
113629361623788
12130a9b903ab70
1363333591acc5
142aa1bc249540
1514656dbd8089
hexa2ff07a8d04

11201014304004 has 96 divisors (see below), whose sum is σ = 30090809548800. Its totient is φ = 3176650431360.

The previous prime is 11201014304003. The next prime is 11201014304017. The reversal of 11201014304004 is 40040341010211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11201014304003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5346642 + ... + 7140630.

It is an arithmetic number, because the mean of its divisors is an integer number (313445932800).

Almost surely, 211201014304004 is an apocalyptic number.

11201014304004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11201014304004 is an abundant number, since it is smaller than the sum of its proper divisors (18889795244796).

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

11201014304004 is a wasteful number, since it uses less digits than its factorization.

11201014304004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794553 (or 1794551 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11201014304004 its reverse (40040341010211), we get a palindrome (51241355314215).

The spelling of 11201014304004 in words is "eleven trillion, two hundred one billion, fourteen million, three hundred four thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 239 311 478 622 717 933 956 1244 1434 1673 1866 2177 2868 3346 3732 4354 5019 6531 6692 8708 10038 13062 20076 26124 74329 148658 222987 297316 445974 520303 891948 1040606 1560909 1793989 2081212 3121818 3587978 5381967 6243636 7175956 10763934 12557923 21527868 25115846 37673769 50231692 75347538 150695076 428763371 557930579 857526742 1115861158 1286290113 1673791737 1715053484 2231722316 2572580226 3001343597 3347583474 3905514053 5145160452 6002687194 6695166948 7811028106 9004030791 11716542159 12005374388 15622056212 18008061582 23433084318 36016123164 46866168636 133345408381 266690816762 400036225143 533381633524 800072450286 933417858667 1600144900572 1866835717334 2800253576001 3733671434668 5600507152002 11201014304004