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11320412100304 = 2423371277698513
BaseRepresentation
bin1010010010111011110100…
…1001000101011011010000
31111002012221222112211122111
42210232331021011123100
52440433200444202204
640024305302515104
72245605236122336
oct244567511053320
944065858484574
1011320412100304
113674a6156529a
121329b7b135a94
13641683117708
142b1ca75d3b56
1514970ad87d04
hexa4bbd2456d0

11320412100304 has 160 divisors (see below), whose sum is σ = 23724161556480. Its totient is φ = 5218894872576.

The previous prime is 11320412100301. The next prime is 11320412100337. The reversal of 11320412100304 is 40300121402311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320412100301) 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, 1329775152 + ... + 1329783664.

It is an arithmetic number, because the mean of its divisors is an integer number (148276009728).

Almost surely, 211320412100304 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 11320412100304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11862080778240).

11320412100304 is an abundant number, since it is smaller than the sum of its proper divisors (12403749456176).

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

11320412100304 is a wasteful number, since it uses less digits than its factorization.

11320412100304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9477 (or 9471 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11320412100304 its reverse (40300121402311), we get a palindrome (51620533502615).

The spelling of 11320412100304 in words is "eleven trillion, three hundred twenty billion, four hundred twelve million, one hundred thousand, three hundred four".

Divisors: 1 2 4 8 16 23 37 46 74 92 127 148 184 254 296 368 508 592 769 851 1016 1538 1702 2032 2921 3076 3404 4699 5842 6152 6808 8513 9398 11684 12304 13616 17026 17687 18796 23368 28453 34052 35374 37592 46736 56906 68104 70748 75184 97663 108077 113812 136208 141496 195326 195799 216154 227624 282992 314981 390652 391598 432308 455248 629962 654419 781304 783196 864616 1081151 1259924 1308838 1562608 1566392 1729232 2162302 2246249 2519848 2617676 3132784 3613531 4324604 4492498 5039696 5235352 6546497 7227062 7244563 8649208 8984996 10470704 13092994 14454124 14489126 17298416 17969992 24866473 26185988 28908248 28978252 35939984 40002587 49732946 52371976 57816496 57956504 80005174 83111213 99465892 104743952 115913008 150569431 160010348 166222426 198931784 242220389 301138862 320020696 332444852 397863568 484440778 602277724 640041392 664889704 831405119 920059501 968881556 1204555448 1329779408 1662810238 1840119002 1937763112 2409110896 3325620476 3680238004 3875526224 5571068947 6651240952 7360476008 11142137894 13302481904 14720952016 19122317737 22284275788 30761989403 38244635474 44568551576 61523978806 76489270948 89137103152 123047957612 152978541896 246095915224 305957083792 492191830448 707525756269 1415051512538 2830103025076 5660206050152 11320412100304