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1031020301133 = 34294154719571
BaseRepresentation
bin11110000000011011001…
…10010100101101001101
310122120020120120222220000
433000031212110231031
5113343012144114013
62105351051114513
7134326433650524
oct17001546245515
93576216528800
101031020301133
113682870992a9
1214799a742a39
13762bcb58304
1437c8a1a54bb
151bc44c31973
hexf00d994b4d

1031020301133 has 80 divisors (see below), whose sum is σ = 1635203021760. Its totient is φ = 646242105600.

The previous prime is 1031020301131. The next prime is 1031020301209. The reversal of 1031020301133 is 3311030201301.

It is a happy number.

1031020301133 is a `hidden beast` number, since 1 + 0 + 310 + 20 + 301 + 1 + 33 = 666.

It is not a de Polignac number, because 1031020301133 - 21 = 1031020301131 is a prime.

It is a super-2 number, since 2×10310203011332 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031020301131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52671238 + ... + 52690808.

It is an arithmetic number, because the mean of its divisors is an integer number (20440037772).

Almost surely, 21031020301133 is an apocalyptic number.

It is an amenable number.

1031020301133 is a deficient number, since it is larger than the sum of its proper divisors (604182720627).

1031020301133 is a wasteful number, since it uses less digits than its factorization.

1031020301133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20200 (or 20191 counting only the distinct ones).

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

Adding to 1031020301133 its reverse (3311030201301), we get a palindrome (4342050502434).

The spelling of 1031020301133 in words is "one trillion, thirty-one billion, twenty million, three hundred one thousand, one hundred thirty-three".

Divisors: 1 3 9 27 29 41 81 87 123 261 369 547 783 1107 1189 1641 2349 3321 3567 4923 10701 14769 15863 19571 22427 32103 44307 47589 58713 67281 96309 142767 176139 201843 428301 528417 567559 605529 650383 802411 1284903 1585251 1702677 1816587 1951149 2407233 5108031 5853447 7221699 10705337 15324093 17560341 21665097 23269919 32116011 45972279 52681023 64995291 69809757 96348033 209429271 289044099 310454773 438918817 628287813 867132297 931364319 1316756451 1884863439 2794092957 3950269353 8382278871 11850808059 12728645693 25146836613 35552424177 38185937079 114557811237 343673433711 1031020301133