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10203332013 = 3272343831973
BaseRepresentation
bin10011000000010101…
…00111110110101101
3222100002100222012200
421200022213312231
5131344023111023
64404244452113
7510563614440
oct114012476655
928302328180
1010203332013
1143665733a6
121b890aa039
13c67b70284
146cb171657
153eab74743
hex2602a7dad

10203332013 has 96 divisors (see below), whose sum is σ = 18210576384. Its totient is φ = 5378921856.

The previous prime is 10203332011. The next prime is 10203332023. The reversal of 10203332013 is 31023330201.

10203332013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10203332013 - 21 = 10203332011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203332011) 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, 5170495 + ... + 5172467.

It is an arithmetic number, because the mean of its divisors is an integer number (189693504).

Almost surely, 210203332013 is an apocalyptic number.

It is an amenable number.

10203332013 is a deficient number, since it is larger than the sum of its proper divisors (8007244371).

10203332013 is a wasteful number, since it uses less digits than its factorization.

10203332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10203332013 its reverse (31023330201), we get a palindrome (41226662214).

The spelling of 10203332013 in words is "ten billion, two hundred three million, three hundred thirty-two thousand, thirteen".

Divisors: 1 3 7 9 21 23 43 63 69 83 129 161 207 249 301 387 483 581 747 903 989 1449 1743 1909 1973 2709 2967 3569 5229 5727 5919 6923 8901 10707 13363 13811 17181 17757 20769 24983 32121 40089 41433 45379 62307 74949 82087 84839 120267 124299 136137 163759 224847 246261 254517 317653 408411 491277 574609 593873 738783 763551 952959 1146313 1473831 1723827 1781619 1951297 2858877 3438939 3766457 5171481 5344857 5853891 7041637 10316817 11299371 13659079 17561673 21124911 26365199 33898113 40977237 49291459 63374733 79095597 122931711 147874377 161957651 237286791 443623131 485872953 1133703557 1457618859 3401110671 10203332013