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201122431040 = 2651052959693
BaseRepresentation
bin1011101101001111010…
…1001100000001000000
3201020010120100002102102
42323103311030001000
511243344320243130
6232221103405532
720350000312466
oct2732365140100
9636116302372
10201122431040
1178328407263
1232b8b5b38a8
1315c72a2495b
149a3d1bc836
155371c8b645
hex2ed3d4c040

201122431040 has 56 divisors (see below), whose sum is σ = 478976298840. Its totient is φ = 80439984128.

The previous prime is 201122431009. The next prime is 201122431051. The reversal of 201122431040 is 40134221102.

It can be written as a sum of positive squares in 4 ways, for example, as 4533059584 + 196589371456 = 67328^2 + 443384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3339434 + ... + 3399126.

Almost surely, 2201122431040 is an apocalyptic number.

201122431040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122431040 is an abundant number, since it is smaller than the sum of its proper divisors (277853867800).

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

201122431040 is a wasteful number, since it uses less digits than its factorization.

201122431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70239 (or 70229 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201122431040 its reverse (40134221102), we get a palindrome (241256652142).

The spelling of 201122431040 in words is "two hundred one billion, one hundred twenty-two million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 10529 21058 42116 52645 59693 84232 105290 119386 168464 210580 238772 298465 336928 421160 477544 596930 673856 842320 955088 1193860 1684640 1910176 2387720 3369280 3820352 4775440 9550880 19101760 628507597 1257015194 2514030388 3142537985 5028060776 6285075970 10056121552 12570151940 20112243104 25140303880 40224486208 50280607760 100561215520 201122431040