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1022201120 = 25547181751
BaseRepresentation
bin111100111011011…
…000110100100000
32122020110012022202
4330323120310200
54043140413440
6245233152332
734221365123
oct7473306440
92566405282
101022201120
11485007916
122463bb6a8
13133a11445
1499a8a3ba
155eb19615
hex3ced8d20

1022201120 has 96 divisors (see below), whose sum is σ = 2483260416. Its totient is φ = 397440000.

The previous prime is 1022201093. The next prime is 1022201153. The reversal of 1022201120 is 211022201.

It is a happy number.

1022201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10222011203 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360745 + ... + 1361495.

It is an arithmetic number, because the mean of its divisors is an integer number (25867296).

Almost surely, 21022201120 is an apocalyptic number.

1022201120 is a gapful number since it is divisible by the number (10) 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 1022201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241630208).

1022201120 is an abundant number, since it is smaller than the sum of its proper divisors (1461059296).

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

1022201120 is a wasteful number, since it uses less digits than its factorization.

1022201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1022201120 is about 31971.8801449023. The cubic root of 1022201120 is about 1007.3462734459.

Adding to 1022201120 its reverse (211022201), we get a palindrome (1233223321).

The spelling of 1022201120 in words is "one billion, twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 181 188 235 362 376 470 724 751 752 905 940 1448 1502 1504 1810 1880 2896 3004 3620 3755 3760 5792 6008 7240 7510 7520 8507 12016 14480 15020 17014 24032 28960 30040 34028 35297 42535 60080 68056 70594 85070 120160 135931 136112 141188 170140 176485 271862 272224 282376 340280 352970 543724 564752 679655 680560 705940 1087448 1129504 1359310 1361120 1411880 2174896 2718620 2823760 4349792 5437240 5647520 6388757 10874480 12777514 21748960 25555028 31943785 51110056 63887570 102220112 127775140 204440224 255550280 511100560 1022201120