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1031133213 = 331171107457
BaseRepresentation
bin111101011101011…
…101100000011101
32122212020222212000
4331131131200131
54102432230323
6250152432513
734360326165
oct7535354035
92585228760
101031133213
1148a058710
122493a8739
1313581abc6
149ad335a5
15607d0e43
hex3d75d81d

1031133213 has 64 divisors (see below), whose sum is σ = 1709475840. Its totient is φ = 609033600.

The previous prime is 1031133209. The next prime is 1031133223. The reversal of 1031133213 is 3123311301.

It is a happy number.

1031133213 is a `hidden beast` number, since 10 + 311 + 332 + 13 = 666.

It is not a de Polignac number, because 1031133213 - 22 = 1031133209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031133223) 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, 2256081 + ... + 2256537.

It is an arithmetic number, because the mean of its divisors is an integer number (26710560).

Almost surely, 21031133213 is an apocalyptic number.

It is an amenable number.

1031133213 is a deficient number, since it is larger than the sum of its proper divisors (678342627).

1031133213 is a wasteful number, since it uses less digits than its factorization.

1031133213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1031133213 is about 32111.2630240543. The cubic root of 1031133213 is about 1010.2718651866.

Adding to 1031133213 its reverse (3123311301), we get a palindrome (4154444514).

The spelling of 1031133213 in words is "one billion, thirty-one million, one hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 11 27 33 71 99 107 213 297 321 457 639 781 963 1177 1371 1917 2343 2889 3531 4113 5027 7029 7597 10593 12339 15081 21087 22791 31779 32447 45243 48899 68373 83567 97341 135729 146697 205119 250701 292023 356917 440091 537889 752103 876069 1070751 1320273 1613667 2256309 3212253 3471829 4841001 9636759 10415487 14523003 31246461 38190119 93739383 114570357 343711071 1031133213