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2123032131 = 32111771109163
BaseRepresentation
bin111111010001010…
…1110011001000011
312110221212012120200
41332202232121003
513321444012011
6550355540243
7103416322023
oct17642563103
95427765520
102123032131
1199a43a510
124b2bba683
1327aac343c
14161d63a83
15c65b6856
hex7e8ae643

2123032131 has 96 divisors (see below), whose sum is σ = 3647255040. Its totient is φ = 1175731200.

The previous prime is 2123032123. The next prime is 2123032151. The reversal of 2123032131 is 1312303212.

It is not a de Polignac number, because 2123032131 - 23 = 2123032123 is a prime.

It is a super-2 number, since 2×21230321312 = 9014530858516802322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2123032151) 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 95 ways as a sum of consecutive naturals, for example, 13024656 + ... + 13024818.

It is an arithmetic number, because the mean of its divisors is an integer number (37992240).

Almost surely, 22123032131 is an apocalyptic number.

2123032131 is a deficient number, since it is larger than the sum of its proper divisors (1524222909).

2123032131 is a wasteful number, since it uses less digits than its factorization.

2123032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2123032131 is about 46076.3728064612. The cubic root of 2123032131 is about 1285.2438143042.

Adding to 2123032131 its reverse (1312303212), we get a palindrome (3435335343).

It can be divided in two parts, 21230 and 32131, that added together give a square (53361 = 2312).

The spelling of 2123032131 in words is "two billion, one hundred twenty-three million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 71 99 109 153 163 187 213 327 489 561 639 781 981 1199 1207 1467 1683 1793 1853 2343 2771 3597 3621 5379 5559 7029 7739 8313 10791 10863 11573 13277 16137 16677 17767 20383 23217 24939 30481 34719 39831 53301 61149 69651 85129 91443 104157 119493 127303 131563 159903 183447 195437 196741 255387 274329 302039 381909 394689 586311 590223 766161 906117 1145727 1184067 1261457 1447193 1758933 1770669 2164151 2718351 3322429 3784371 4341579 6492453 9967287 11353113 13024737 13876027 19477359 21444769 29901861 41628081 64334307 124884243 193002921 235892459 707677377 2123032131