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11056522500 = 2232547012
BaseRepresentation
bin10100100110000010…
…10010010100000100
31001112112210112112100
422103001102110010
5140120432210000
65025043352100
7540663614322
oct122301222404
931475715470
1011056522500
114764134001
122186982630
13107285780a
1476c5c4d12
1544aa06a00
hex293052504

11056522500 has 135 divisors (see below), whose sum is σ = 34974252313. Its totient is φ = 2944200000.

The previous prime is 11056522483. The next prime is 11056522511. The reversal of 11056522500 is 522565011.

The square root of 11056522500 is 105150.

It is a perfect power (a square), and thus also a powerful number.

11056522500 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 652 + 2 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4196707524 + 6859814976 = 64782^2 + 82824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15772150 + ... + 15772850.

Almost surely, 211056522500 is an apocalyptic number.

11056522500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11056522500 is the 105150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11056522500

11056522500 is an abundant number, since it is smaller than the sum of its proper divisors (23917729813).

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

11056522500 is an frugal number, since it uses more digits than its factorization.

11056522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 11056522500 in words is "eleven billion, fifty-six million, five hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 701 750 900 1125 1250 1402 1500 1875 2103 2250 2500 2804 3505 3750 4206 4500 5625 6309 7010 7500 8412 10515 11250 12618 14020 17525 21030 22500 25236 31545 35050 42060 52575 63090 70100 87625 105150 126180 157725 175250 210300 262875 315450 350500 438125 491401 525750 630900 788625 876250 982802 1051500 1314375 1474203 1577250 1752500 1965604 2457005 2628750 2948406 3154500 3943125 4422609 4914010 5257500 5896812 7371015 7886250 8845218 9828020 12285025 14742030 15772500 17690436 22113045 24570050 29484060 36855075 44226090 49140100 61425125 73710150 88452180 110565225 122850250 147420300 184275375 221130450 245700500 307125625 368550750 442260900 552826125 614251250 737101500 921376875 1105652250 1228502500 1842753750 2211304500 2764130625 3685507500 5528261250 11056522500