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11130110212004 = 22717191297948853
BaseRepresentation
bin1010000111110110111001…
…0000111111011110100100
31110102000202111222021101022
42201331232100333132210
52424323431203241004
635401034012550312
72226060335554430
oct241755620773644
943360674867338
1011130110212004
113601287064a43
1212b910b482398
136297460a6594
142a69b352d9c0
151447be03d2be
hexa1f6e43f7a4

11130110212004 has 96 divisors (see below), whose sum is σ = 24829307838720. Its totient is φ = 4249885335552.

The previous prime is 11130110211901. The next prime is 11130110212007. The reversal of 11130110212004 is 40021201103111.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (11130110212007) 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, 11255642 + ... + 12204494.

It is an arithmetic number, because the mean of its divisors is an integer number (258638623320).

Almost surely, 211130110212004 is an apocalyptic number.

11130110212004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130110212004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12414653919360).

11130110212004 is an abundant number, since it is smaller than the sum of its proper divisors (13699197626716).

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

11130110212004 is a wasteful number, since it uses less digits than its factorization.

11130110212004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950197 (or 950195 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11130110212004 its reverse (40021201103111), we get a palindrome (51151311315115).

The spelling of 11130110212004 in words is "eleven trillion, one hundred thirty billion, one hundred ten million, two hundred twelve thousand, four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 1292 1297 2261 2594 4522 5188 9044 9079 18158 22049 24643 36316 44098 49286 88196 98572 154343 172501 308686 345002 418931 617372 690004 837862 948853 1675724 1897706 2932517 3795412 5865034 6641971 11730068 13283942 16130501 18028207 26567884 32261002 36056414 64522004 72112828 112913507 126197449 225827014 252394898 306479519 451654028 504789796 612959038 1225918076 1230662341 2145356633 2461324682 4290713266 4922649364 8581426532 8614636387 17229272774 20921259797 23382584479 34458545548 41842519594 46765168958 83685039188 93530337916 146448818579 163678091353 292897637158 327356182706 397503936143 585795274316 654712365412 795007872286 1590015744572 2782527553001 5565055106002 11130110212004