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202013022112 = 25112813595689
BaseRepresentation
bin1011110000100011101…
…0100001011110100000
3201022102122010210200221
42330020322201132200
511302210313201422
6232445320052424
720411033233066
oct2741072413640
9638378123627
10202013022112
11787450a2540
1233199904114
13160853a5815
149ac55aa036
1553c505a3c7
hex2f08ea17a0

202013022112 has 96 divisors (see below), whose sum is σ = 436702492800. Its totient is φ = 91226419200.

The previous prime is 202013022103. The next prime is 202013022179. The reversal of 202013022112 is 211220310202.

It is a happy number.

It is a super-2 number, since 2×2020130221122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 35506564 + ... + 35512252.

It is an arithmetic number, because the mean of its divisors is an integer number (4548984300).

Almost surely, 2202013022112 is an apocalyptic number.

202013022112 is a gapful number since it is divisible by the number (22) 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 202013022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218351246400).

202013022112 is an abundant number, since it is smaller than the sum of its proper divisors (234689470688).

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

202013022112 is a wasteful number, since it uses less digits than its factorization.

202013022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6350 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 202013022112 its reverse (211220310202), we get a palindrome (413233332314).

The spelling of 202013022112 in words is "two hundred two billion, thirteen million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 281 352 359 562 718 1124 1436 2248 2872 3091 3949 4496 5689 5744 6182 7898 8992 11378 11488 12364 15796 22756 24728 31592 45512 49456 62579 63184 91024 98912 100879 125158 126368 182048 201758 250316 403516 500632 807032 1001264 1109669 1598609 1614064 2002528 2042351 2219338 3197218 3228128 4084702 4438676 6394436 8169404 8877352 12788872 16338808 17584699 17754704 22465861 25577744 32677616 35169398 35509408 44931722 51155488 65355232 70338796 89863444 140677592 179726888 281355184 359453776 562710368 573900631 718907552 1147801262 2295602524 4591205048 6312906941 9182410096 12625813882 18364820192 25251627764 50503255528 101006511056 202013022112