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20121020136 = 233572211231
BaseRepresentation
bin10010101111010011…
…100110011011101000
31220221021020201200000
4102233103212123220
5312201440121021
613124331143000
71311421564200
oct225723463350
956837221600
1020121020136
118595878268
123a965a4a60
131b8879ac99
14d8c3c9400
157cb6c3b26
hex4af4e66e8

20121020136 has 144 divisors (see below), whose sum is σ = 65739623040. Its totient is φ = 5748835680.

The previous prime is 20121020069. The next prime is 20121020147. The reversal of 20121020136 is 63102012102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10360 + ... + 200871.

It is an arithmetic number, because the mean of its divisors is an integer number (456525160).

Almost surely, 220121020136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121020136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32869811520).

20121020136 is an abundant number, since it is smaller than the sum of its proper divisors (45618602904).

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

20121020136 is a wasteful number, since it uses less digits than its factorization.

20121020136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211266 (or 211243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20121020136 its reverse (63102012102), we get a palindrome (83223032238).

The spelling of 20121020136 in words is "twenty billion, one hundred twenty-one million, twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1512 1701 1764 1944 2268 2646 3402 3528 3969 4536 5292 6804 7938 10584 11907 13608 15876 23814 31752 47628 95256 211231 422462 633693 844924 1267386 1478617 1689848 1901079 2534772 2957234 3802158 4435851 5069544 5703237 5914468 7604316 8871702 10350319 11406474 11828936 13307553 15208632 17109711 17743404 20700638 22812948 26615106 31050957 34219422 35486808 39922659 41401276 45625896 51329133 53230212 62101914 68438844 79845318 82802552 93152871 102658266 106460424 119767977 124203828 136877688 159690636 186305742 205316532 239535954 248407656 279458613 319381272 359303931 372611484 410633064 479071908 558917226 718607862 745222968 838375839 958143816 1117834452 1437215724 1676751678 2235668904 2515127517 2874431448 3353503356 5030255034 6707006712 10060510068 20121020136