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11023202000000 = 27565511601
BaseRepresentation
bin1010000001101000101000…
…0010100001110010000000
31110000210210220022101210202
42200122022002201302000
52421101004203000000
635235553350544332
72215254136010231
oct240321202416200
943023726271722
1011023202000000
11356aa06177a23
1212a04540680a8
1361c6392ba938
142a1750c07088
15141b135badd5
hexa068a0a1c80

11023202000000 has 112 divisors (see below), whose sum is σ = 27450010158810. Its totient is φ = 4409280000000.

The previous prime is 11023201999991. The next prime is 11023202000009. The reversal of 11023202000000 is 20232011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11023201999991) and next prime (11023202000009).

It can be written as a sum of positive squares in 7 ways, for example, as 8187426831424 + 2835775168576 = 2861368^2 + 1683976^2 .

It is not an unprimeable number, because it can be changed into a prime (11023202000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 755801 + ... + 4755800.

Almost surely, 211023202000000 is an apocalyptic number.

11023202000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11023202000000 is an abundant number, since it is smaller than the sum of its proper divisors (16426808158810).

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

11023202000000 is an frugal number, since it uses more digits than its factorization.

11023202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511645 (or 5511608 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 11023202000000 its reverse (20232011), we get a palindrome (11023222232011).

The spelling of 11023202000000 in words is "eleven trillion, twenty-three billion, two hundred two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 5511601 11023202 22046404 27558005 44092808 55116010 88185616 110232020 137790025 176371232 220464040 275580050 352742464 440928080 551160100 688950125 705484928 881856160 1102320200 1377900250 1763712320 2204640400 2755800500 3444750625 3527424640 4409280800 5511601000 6889501250 8818561600 11023202000 13779002500 17223753125 17637123200 22046404000 27558005000 34447506250 44092808000 55116010000 68895012500 86118765625 88185616000 110232020000 137790025000 172237531250 220464040000 275580050000 344475062500 440928080000 551160100000 688950125000 1102320200000 1377900250000 2204640400000 2755800500000 5511601000000 11023202000000