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1032114213 = 321323834621
BaseRepresentation
bin111101100001001…
…101000000100101
32122221002211112100
4331201031000211
54103210123323
6250225442313
734401553224
oct7541150045
92587084470
101032114213
1148a668759
122497a0399
13135aa2590
149b10acbb
1560926943
hex3d84d025

1032114213 has 48 divisors (see below), whose sum is σ = 1695867264. Its totient is φ = 600082560.

The previous prime is 1032114211. The next prime is 1032114227. The reversal of 1032114213 is 3124112301.

It is not a de Polignac number, because 1032114213 - 21 = 1032114211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032114211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 221043 + ... + 225663.

It is an arithmetic number, because the mean of its divisors is an integer number (35330568).

Almost surely, 21032114213 is an apocalyptic number.

1032114213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1032114213 is a deficient number, since it is larger than the sum of its proper divisors (663753051).

1032114213 is a wasteful number, since it uses less digits than its factorization.

1032114213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1032114213 is about 32126.5344069353. The cubic root of 1032114213 is about 1010.5921479449.

Adding to 1032114213 its reverse (3124112301), we get a palindrome (4156226514).

The spelling of 1032114213 in words is "one billion, thirty-two million, one hundred fourteen thousand, two hundred thirteen".

Divisors: 1 3 9 13 23 39 69 83 117 207 249 299 747 897 1079 1909 2691 3237 4621 5727 9711 13863 17181 24817 41589 60073 74451 106283 180219 223353 318849 383543 540657 956547 1150629 1381679 3451887 4145037 4986059 8821489 12435111 14958177 26464467 44874531 79393401 114679357 344038071 1032114213