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2202002010112 = 2125927133623
BaseRepresentation
bin100000000010110001100…
…011000011000000000000
321210111202022021012001011
4200002301203003000000
5242034200003310422
64403330305050304
7315042443155162
oct40026143030000
97714668235034
102202002010112
117799558018a3
122b691a026994
1312c8565827c8
14788127d0932
153c42c0b0077
hex200b18c3000

2202002010112 has 104 divisors (see below), whose sum is σ = 4494759482880. Its totient is φ = 1078314024960.

The previous prime is 2202002010097. The next prime is 2202002010127. The reversal of 2202002010112 is 2110102002022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2202002010097) and next prime (2202002010127).

It is a junction number, because it is equal to n+sod(n) for n = 2202002010092 and 2202002010101.

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, 65474133 + ... + 65507755.

Almost surely, 22202002010112 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 2202002010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247379741440).

2202002010112 is an abundant number, since it is smaller than the sum of its proper divisors (2292757472768).

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

2202002010112 is an equidigital number, since it uses as much as digits as its factorization.

2202002010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33977 (or 33955 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2202002010112 its reverse (2110102002022), we get a palindrome (4312104012134).

The spelling of 2202002010112 in words is "two trillion, two hundred two billion, two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 271 472 512 542 944 1024 1084 1888 2048 2168 3776 4096 4336 7552 8672 15104 15989 17344 30208 31978 33623 34688 60416 63956 67246 69376 120832 127912 134492 138752 241664 255824 268984 277504 511648 537968 555008 1023296 1075936 1110016 1983757 2046592 2151872 3967514 4093184 4303744 7935028 8186368 8607488 9111833 15870056 16372736 17214976 18223666 31740112 32745472 34429952 36447332 63480224 65490944 68859904 72894664 126960448 137719808 145789328 253920896 291578656 507841792 537598147 583157312 1015683584 1075196294 1166314624 2031367168 2150392588 2332629248 4062734336 4300785176 4665258496 8125468672 8601570352 9330516992 17203140704 18661033984 34406281408 37322067968 68812562816 137625125632 275250251264 550500502528 1101001005056 2202002010112