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103322144211 = 311132927313041
BaseRepresentation
bin110000000111001111…
…0101100110111010011
3100212200200211202100220
41200032132230313103
53143100432103321
6115244320044123
710315263510066
oct1401636546723
9325620752326
10103322144211
113a900725230
1218036463643
139987b76150
1450023628dd
152a4ac139c6
hex180e7acdd3

103322144211 has 64 divisors (see below), whose sum is σ = 167544599040. Its totient is φ = 55770624000.

The previous prime is 103322144203. The next prime is 103322144231. The reversal of 103322144211 is 112441223301.

It is not a de Polignac number, because 103322144211 - 23 = 103322144203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103322144231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33974851 + ... + 33977891.

It is an arithmetic number, because the mean of its divisors is an integer number (2617884360).

Almost surely, 2103322144211 is an apocalyptic number.

103322144211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103322144211 is a deficient number, since it is larger than the sum of its proper divisors (64222454829).

103322144211 is a wasteful number, since it uses less digits than its factorization.

103322144211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103322144211 its reverse (112441223301), we get a palindrome (215763367512).

The spelling of 103322144211 in words is "one hundred three billion, three hundred twenty-two million, one hundred forty-four thousand, two hundred eleven".

Divisors: 1 3 11 13 29 33 39 87 143 319 377 429 957 1131 2731 3041 4147 8193 9123 12441 30041 33451 35503 39533 79199 88189 90123 100353 106509 118599 237597 264567 390533 434863 871189 970079 1029587 1146457 1171599 1304589 2613567 2910237 3088761 3439371 8304971 11325457 12611027 24914913 33976371 37833081 91354681 107964623 240844159 274064043 323893869 722532477 1187610853 2649285749 3130974067 3562832559 7947857247 9392922201 34440714737 103322144211