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204013241220 = 223547666110861
BaseRepresentation
bin1011111000000000100…
…0110000001110000100
3201111121000220110111010
42332000020300032010
511320304342204340
6233420011442220
720511431636505
oct2760010601604
9644530813433
10204013241220
1179581179788
1233657756370
13163138c8819
149c350c0bac
155490962b80
hex2f80230384

204013241220 has 96 divisors (see below), whose sum is σ = 583532361216. Its totient is φ = 53233113600.

The previous prime is 204013241219. The next prime is 204013241221. The reversal of 204013241220 is 22142310402.

It is an interprime number because it is at equal distance from previous prime (204013241219) and next prime (204013241221).

It is not an unprimeable number, because it can be changed into a prime (204013241221) 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 31 ways as a sum of consecutive naturals, for example, 18778590 + ... + 18789450.

It is an arithmetic number, because the mean of its divisors is an integer number (6078462096).

Almost surely, 2204013241220 is an apocalyptic number.

204013241220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204013241220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291766180608).

204013241220 is an abundant number, since it is smaller than the sum of its proper divisors (379519119996).

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

204013241220 is a wasteful number, since it uses less digits than its factorization.

204013241220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17581 (or 17579 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 204013241220 its reverse (22142310402), we get a palindrome (226155551622).

The spelling of 204013241220 in words is "two hundred four billion, thirteen million, two hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 6661 10861 13322 19983 21722 26644 32583 33305 39966 43444 54305 65166 66610 79932 99915 108610 130332 133220 162915 199830 217220 313067 325830 399660 510467 626134 651660 939201 1020934 1252268 1531401 1565335 1878402 2041868 2552335 3062802 3130670 3756804 4696005 5104670 6125604 6261340 7657005 9392010 10209340 15314010 18784020 30628020 72345121 144690242 217035363 289380484 361725605 434070726 723451210 868141452 1085176815 1446902420 2170353630 3400220687 4340707260 6800441374 10200662061 13600882748 17001103435 20401324122 34002206870 40802648244 51003310305 68004413740 102006620610 204013241220