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103215222145 = 5733113913967
BaseRepresentation
bin110000000100000011…
…0110100110110000001
3100212102020122112212101
41200020012310312001
53142341044102040
6115225540230401
710312524625000
oct1401006646601
9325366575771
10103215222145
113a856336092
121800669b401
13996b97aa59
144dd208cc37
152a4164309a
hex18081b4d81

103215222145 has 64 divisors (see below), whose sum is σ = 150183936000. Its totient is φ = 67995426240.

The previous prime is 103215222091. The next prime is 103215222191. The reversal of 103215222145 is 541222512301.

It is a happy number.

It is not a de Polignac number, because 103215222145 - 225 = 103181667713 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7382952 + ... + 7396918.

It is an arithmetic number, because the mean of its divisors is an integer number (2346624000).

Almost surely, 2103215222145 is an apocalyptic number.

It is an amenable number.

103215222145 is a deficient number, since it is larger than the sum of its proper divisors (46968713855).

103215222145 is a wasteful number, since it uses less digits than its factorization.

103215222145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14163 (or 14149 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 103215222145 its reverse (541222512301), we get a palindrome (644437734446).

The spelling of 103215222145 in words is "one hundred three billion, two hundred fifteen million, two hundred twenty-two thousand, one hundred forty-five".

Divisors: 1 5 7 31 35 49 139 155 217 245 343 695 973 1085 1519 1715 4309 4865 6811 7595 10633 13967 21545 30163 34055 47677 53165 69835 97769 150815 211141 238385 432977 488845 684383 1055705 1477987 1941413 2164885 3030839 3421915 4790681 7389935 9707065 13589891 15154195 21215873 23953405 60183803 67949455 95129237 106079365 148511111 300919015 421286621 475646185 665904659 742555555 2106433105 2949006347 3329523295 14745031735 20643044429 103215222145