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20031003201033 = 32118935319513301
BaseRepresentation
bin1001000110111110101001…
…10101001000111000001001
32121220221112001110022010200
410203133110311020320021
510111141443304413113
6110334041004202413
74135122634623036
oct443372465107011
977827461408120
1020031003201033
116423112110930
1222b6186539409
13b23bb9466cc6
144d3711a0838d
1524b0bbac4873
hex1237d4d48e09

20031003201033 has 96 divisors (see below), whose sum is σ = 32035186160640. Its totient is φ = 11959833600000.

The previous prime is 20031003201017. The next prime is 20031003201059. The reversal of 20031003201033 is 33010230013002.

20031003201033 is a `hidden beast` number, since 2 + 0 + 0 + 310 + 0 + 320 + 1 + 0 + 33 = 666.

It is not a de Polignac number, because 20031003201033 - 24 = 20031003201017 is a prime.

It is a super-2 number, since 2×200310032010332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20031003200997 and 20031003201015.

It is not an unprimeable number, because it can be changed into a prime (20031003241033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6068160483 + ... + 6068163783.

It is an arithmetic number, because the mean of its divisors is an integer number (333699855840).

Almost surely, 220031003201033 is an apocalyptic number.

It is an amenable number.

20031003201033 is a deficient number, since it is larger than the sum of its proper divisors (12004182959607).

20031003201033 is a wasteful number, since it uses less digits than its factorization.

20031003201033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5711 (or 5708 counting only the distinct ones).

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

Adding to 20031003201033 its reverse (33010230013002), we get a palindrome (53041233214035).

The spelling of 20031003201033 in words is "twenty trillion, thirty-one billion, three million, two hundred one thousand, thirty-three".

Divisors: 1 3 9 11 33 89 99 267 353 801 979 1059 1951 2937 3177 3301 3883 5853 8811 9903 11649 17559 21461 29709 31417 34947 36311 64383 94251 108933 173639 193149 282753 293789 326799 345587 520917 688703 881367 1036761 1165253 1562751 1910029 2066109 2644101 3110283 3231679 3495759 5730087 6198327 6440251 7575733 9695037 10487277 12817783 17190261 19320753 22727199 29085111 38453349 57962259 61294567 68181597 70842761 103707517 115360047 183883701 212528283 311122551 551651103 573182339 637584849 674240237 933367653 1140782687 1719547017 2022720711 2273408603 3422348061 5158641051 6068162133 6305005729 6820225809 10267044183 18915017187 20460677427 25007494633 56745051561 75022483899 202333365667 225067451697 607000097001 1821000291003 2225667022337 6677001067011 20031003201033