Search a number
-
+
203105415345 = 35719320174969
BaseRepresentation
bin1011110100101000000…
…1101011000010110001
3201102020202200010111120
42331022001223002301
511311424441242340
6233145541532453
720450066355030
oct2751201530261
9642222603446
10203105415345
1179155791768
1233443714129
13161ca7c2051
149b8a6c8717
15543addc4d0
hex2f4a06b0b1

203105415345 has 64 divisors (see below), whose sum is σ = 373577326080. Its totient is φ = 92302737408.

The previous prime is 203105415311. The next prime is 203105415347. The reversal of 203105415345 is 543514501302.

It is not a de Polignac number, because 203105415345 - 28 = 203105415089 is a prime.

It is a super-2 number, since 2×2031054153452 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (203105415347) 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 63 ways as a sum of consecutive naturals, for example, 40872021 + ... + 40876989.

It is an arithmetic number, because the mean of its divisors is an integer number (5837145720).

Almost surely, 2203105415345 is an apocalyptic number.

It is an amenable number.

203105415345 is a deficient number, since it is larger than the sum of its proper divisors (170471910735).

203105415345 is a wasteful number, since it uses less digits than its factorization.

203105415345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7194.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 203105415345 its reverse (543514501302), we get a palindrome (746619916647).

The spelling of 203105415345 in words is "two hundred three billion, one hundred five million, four hundred fifteen thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 193 579 965 1351 2017 2895 4053 4969 6051 6755 10085 14119 14907 20265 24845 30255 34783 42357 70595 74535 104349 173915 211785 389281 521745 959017 1167843 1946405 2724967 2877051 4795085 5839215 6713119 8174901 10022473 13624835 14385255 20139357 30067419 33565595 40874505 50112365 70157311 100696785 150337095 210471933 350786555 1052359665 1934337289 5803011867 9671686445 13540361023 29015059335 40621083069 67701805115 203105415345