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11320303422540 = 22357214092732749
BaseRepresentation
bin1010010010111011011010…
…1010100000110001001100
31111002012200102001102210010
42210232312222200301030
52440432440134010130
640024250421313220
72245602446305500
oct244566652406114
944065612042703
1011320303422540
113674a06187062
121329b4a865810
13641666756148
142b1c96dc4300
1514970156c0b0
hexa4bb6aa0c4c

11320303422540 has 144 divisors (see below), whose sum is σ = 36898027740000. Its totient is φ = 2585660571648.

The previous prime is 11320303422523. The next prime is 11320303422541. The reversal of 11320303422540 is 4522430302311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11320303422498 and 11320303422507.

It is not an unprimeable number, because it can be changed into a prime (11320303422541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2776086 + ... + 5508834.

It is an arithmetic number, because the mean of its divisors is an integer number (256236303750).

Almost surely, 211320303422540 is an apocalyptic number.

11320303422540 is a gapful number since it is divisible by the number (10) 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 11320303422540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18449013870000).

11320303422540 is an abundant number, since it is smaller than the sum of its proper divisors (25577724317460).

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

11320303422540 is a wasteful number, since it uses less digits than its factorization.

11320303422540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734184 (or 2734175 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 11320303422540 its reverse (4522430302311), we get a palindrome (15842733724851).

The spelling of 11320303422540 in words is "eleven trillion, three hundred twenty billion, three hundred three million, four hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1409 1470 2818 2940 4227 5636 7045 8454 9863 14090 16908 19726 21135 28180 29589 39452 42270 49315 59178 69041 84540 98630 118356 138082 147945 197260 207123 276164 295890 345205 414246 591780 690410 828492 1035615 1380820 2071230 2732749 4142460 5465498 8198247 10930996 13663745 16396494 19129243 27327490 32792988 38258486 40991235 54654980 57387729 76516972 81982470 95646215 114775458 133904701 163964940 191292430 229550916 267809402 286938645 382584860 401714103 535618804 573877290 669523505 803428206 1147754580 1339047010 1606856412 2008570515 2678094020 3850443341 4017141030 7700886682 8034282060 11551330023 15401773364 19252216705 23102660046 26953103387 38504433410 46205320092 53906206774 57756650115 77008866820 80859310161 107812413548 115513300230 134765516935 161718620322 188671723709 231026600460 269531033870 323437240644 377343447418 404296550805 539062067740 566015171127 754686894836 808593101610 943358618545 1132030342254 1617186203220 1886717237090 2264060684508 2830075855635 3773434474180 5660151711270 11320303422540