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136122020 = 22553281457
BaseRepresentation
bin10000001110100…
…00111010100100
3100111010201022022
420013100322210
5234321401040
621301322312
73242006126
oct1007207244
9314121268
10136122020
116a923541
1239706398
1322280198
1414115216
15be3c6b5
hex81d0ea4

136122020 has 48 divisors (see below), whose sum is σ = 292925808. Its totient is φ = 53114880.

The previous prime is 136122017. The next prime is 136122031. The reversal of 136122020 is 20221631.

It can be written as a sum of positive squares in 8 ways, for example, as 14945956 + 121176064 = 3866^2 + 11008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 136122020.

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 15 ways as a sum of consecutive naturals, for example, 297632 + ... + 298088.

It is an arithmetic number, because the mean of its divisors is an integer number (6102621).

Almost surely, 2136122020 is an apocalyptic number.

136122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136122020 is an abundant number, since it is smaller than the sum of its proper divisors (156803788).

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

136122020 is a wasteful number, since it uses less digits than its factorization.

136122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 136122020 is about 11667.1341811089. The cubic root of 136122020 is about 514.4100700896.

Adding to 136122020 its reverse (20221631), we get a palindrome (156343651).

The spelling of 136122020 in words is "one hundred thirty-six million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 281 457 530 562 914 1060 1124 1405 1828 2285 2810 4570 5620 9140 14893 24221 29786 48442 59572 74465 96884 121105 128417 148930 242210 256834 297860 484420 513668 642085 1284170 2568340 6806101 13612202 27224404 34030505 68061010 136122020