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161222012010 = 2355139477313
BaseRepresentation
bin1001011000100110010…
…1001010110001101010
3120102010211122210100000
42112021211022301222
510120140313341020
6202021523123430
714435142330303
oct2261145126152
9512124583300
10161222012010
1162412693944
12272b4b13576
131228449a257
147b35d337aa
1542d8dc5090
hex258994ac6a

161222012010 has 96 divisors (see below), whose sum is σ = 437830585920. Its totient is φ = 42683148288.

The previous prime is 161222011921. The next prime is 161222012047. The reversal of 161222012010 is 10210222161.

161222012010 is a `hidden beast` number, since 1 + 612 + 2 + 20 + 1 + 20 + 10 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99114 + ... + 576426.

It is an arithmetic number, because the mean of its divisors is an integer number (4560735270).

Almost surely, 2161222012010 is an apocalyptic number.

161222012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161222012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218915292960).

161222012010 is an abundant number, since it is smaller than the sum of its proper divisors (276608573910).

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

161222012010 is a wasteful number, since it uses less digits than its factorization.

161222012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477474 (or 477462 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 161222012010 its reverse (10210222161), we get a palindrome (171432234171).

The spelling of 161222012010 in words is "one hundred sixty-one billion, two hundred twenty-two million, twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 139 162 243 270 278 405 417 486 695 810 834 1215 1251 1390 2085 2430 2502 3753 4170 6255 7506 11259 12510 18765 22518 33777 37530 56295 67554 112590 168885 337770 477313 954626 1431939 2386565 2863878 4295817 4773130 7159695 8591634 12887451 14319390 21479085 25774902 38662353 42958170 64437255 66346507 77324706 115987059 128874510 132693014 193311765 199039521 231974118 331732535 386623530 398079042 579935295 597118563 663465070 995197605 1159870590 1194237126 1791355689 1990395210 2985592815 3582711378 5374067067 5971185630 8956778445 10748134134 16122201201 17913556890 26870335335 32244402402 53740670670 80611006005 161222012010