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1030133001222 = 2321310390747123
BaseRepresentation
bin11101111110110001011…
…01100010110000000110
310122110221201222111020100
432333120231202300012
5113334203022014342
62105123033144530
7134265441015363
oct16773055426006
93573851874210
101030133001222
11367971250796
1214779155b146
13761ab08a490
1437c043d346a
151bbe1db2e4c
hexefd8b62c06

1030133001222 has 96 divisors (see below), whose sum is σ = 2429707408128. Its totient is φ = 313533955008.

The previous prime is 1030133001193. The next prime is 1030133001229. The reversal of 1030133001222 is 2221003310301.

1030133001222 is a `hidden beast` number, since 1 + 0 + 301 + 330 + 0 + 12 + 22 = 666.

It is a super-2 number, since 2×10301330012222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1030133001195 and 1030133001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030133001229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21836953 + ... + 21884075.

It is an arithmetic number, because the mean of its divisors is an integer number (25309452168).

Almost surely, 21030133001222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030133001222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214853704064).

1030133001222 is an abundant number, since it is smaller than the sum of its proper divisors (1399574406906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1030133001222 is a wasteful number, since it uses less digits than its factorization.

1030133001222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48154 (or 48151 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1030133001222 its reverse (2221003310301), we get a palindrome (3251136311523).

The spelling of 1030133001222 in words is "one trillion, thirty billion, one hundred thirty-three million, one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 103 117 206 234 309 618 907 927 1339 1814 1854 2678 2721 4017 5442 8034 8163 11791 12051 16326 23582 24102 35373 47123 70746 93421 94246 106119 141369 186842 212238 280263 282738 424107 560526 612599 840789 848214 1214473 1225198 1681578 1837797 2428946 3643419 3675594 4853669 5513391 7286838 9707338 10930257 11026782 14561007 21860514 29122014 42740561 43683021 63097697 85481122 87366042 126195394 128221683 189293091 256443366 378586182 384665049 555627293 567879273 769330098 1111254586 1135758546 1666881879 3333763758 4402277783 5000645637 8804555566 10001291274 13206833349 26413666698 39620500047 57229611179 79241000094 114459222358 171688833537 343377667074 515066500611 1030133001222