Search a number
-
+
211113615040 = 2651135838319
BaseRepresentation
bin1100010010011101011…
…0100001111011000000
3202011220212111211021021
43010213112201323000
511424330041140130
6240552333235224
721152410056016
oct3044726417300
9664825454237
10211113615040
118159514a719
1234ab9632b14
1316ba5946453
14a30a0c88b6
155758ea737a
hex31275a1ec0

211113615040 has 56 divisors (see below), whose sum is σ = 507163181760. Its totient is φ = 83698126848.

The previous prime is 211113614993. The next prime is 211113615047. The reversal of 211113615040 is 40516311112.

It is a junction number, because it is equal to n+sod(n) for n = 211113614996 and 211113615014.

It is not an unprimeable number, because it can be changed into a prime (211113615047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2883000 + ... + 2955319.

Almost surely, 2211113615040 is an apocalyptic number.

211113615040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211113615040 is an abundant number, since it is smaller than the sum of its proper divisors (296049566720).

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

211113615040 is a wasteful number, since it uses less digits than its factorization.

211113615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838449 (or 5838439 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 211113615040 its reverse (40516311112), we get a palindrome (251629926152).

The spelling of 211113615040 in words is "two hundred eleven billion, one hundred thirteen million, six hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 452 565 904 1130 1808 2260 3616 4520 7232 9040 18080 36160 5838319 11676638 23353276 29191595 46706552 58383190 93413104 116766380 186826208 233532760 373652416 467065520 659730047 934131040 1319460094 1868262080 2638920188 3298650235 5277840376 6597300470 10555680752 13194600940 21111361504 26389201880 42222723008 52778403760 105556807520 211113615040