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118397928100 = 225219218112
BaseRepresentation
bin110111001000100010…
…0010000001010100100
3102022121100120221000011
41232101010100022210
53414434332144400
6130220302300004
711361003532564
oct1562104201244
9368540527004
10118397928100
11462375a8861
121ab43287604
13b21b30752a
145a32672da4
15312e4e78ba
hex1b911102a4

118397928100 has 81 divisors (see below), whose sum is σ = 271307303841. Its totient is φ = 44841808800.

The previous prime is 118397928097. The next prime is 118397928139. The reversal of 118397928100 is 1829793811.

The square root of 118397928100 is 344090.

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

It can be written as a sum of positive squares in only one way, i.e., 42623254116 + 75774673984 = 206454^2 + 275272^2 .

It is a super-2 number, since 2×1183979281002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 65376195 + ... + 65378005.

Almost surely, 2118397928100 is an apocalyptic number.

118397928100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

118397928100 is the 344090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118397928100

118397928100 is an abundant number, since it is smaller than the sum of its proper divisors (152909375741).

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

118397928100 is an equidigital number, since it uses as much as digits as its factorization.

118397928100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 49.

Multiplying 118397928100 by its sum of digits (49), we get a square (5801498476900 = 24086302).

The spelling of 118397928100 in words is "one hundred eighteen billion, three hundred ninety-seven million, nine hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1811 1900 3610 3622 7220 7244 9025 9055 18050 18110 34409 36100 36220 45275 68818 90550 137636 172045 181100 344090 653771 688180 860225 1307542 1720450 2615084 3268855 3279721 3440900 6537710 6559442 13075420 13118884 16344275 16398605 32688550 32797210 62314699 65377100 65594420 81993025 124629398 163986050 249258796 311573495 327972100 623146990 1183979281 1246293980 1557867475 2367958562 3115734950 4735917124 5919896405 6231469900 11839792810 23679585620 29599482025 59198964050 118397928100