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1020303123021 = 3271344912372243
BaseRepresentation
bin11101101100011101100…
…11100010001001001101
310121112120200022221100100
432312032303202021031
5113204040044414041
62100415404521313
7133500030310350
oct16661663421115
93545520287310
101020303123021
11363787571806
121458a9550239
13752a26c58c0
1437550ab6297
151b818e0b6b6
hexed8ece224d

1020303123021 has 96 divisors (see below), whose sum is σ = 1820192774400. Its totient is φ = 536309932032.

The previous prime is 1020303123017. The next prime is 1020303123029. The reversal of 1020303123021 is 1203213030201.

1020303123021 is a `hidden beast` number, since 1 + 0 + 20 + 30 + 312 + 302 + 1 = 666.

It is not a de Polignac number, because 1020303123021 - 22 = 1020303123017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020303122985 and 1020303123003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020303123029) 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, 454882126 + ... + 454884368.

It is an arithmetic number, because the mean of its divisors is an integer number (18960341400).

Almost surely, 21020303123021 is an apocalyptic number.

It is an amenable number.

1020303123021 is a deficient number, since it is larger than the sum of its proper divisors (799889651379).

1020303123021 is a wasteful number, since it uses less digits than its factorization.

1020303123021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3952 counting only the distinct ones).

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

Adding to 1020303123021 its reverse (1203213030201), we get a palindrome (2223516153222).

The spelling of 1020303123021 in words is "one trillion, twenty billion, three hundred three million, one hundred twenty-three thousand, twenty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 449 819 1237 1347 2243 3143 3711 4041 5837 6729 8659 9429 11133 15701 16081 17511 20187 25977 28287 29159 40859 47103 48243 52533 77931 87477 112567 122577 141309 144729 204113 262431 337701 367731 555413 612339 1007107 1013103 1666239 1837017 2774591 3021321 3887891 4998717 7049749 7220369 8323773 9063963 11663673 13092391 19422137 21149247 21661107 24971319 34991019 36069683 39277173 50542583 58266411 63447741 64983321 91646737 108209049 117831519 151627749 174799233 252487781 274940211 324627147 454883247 757463343 824820633 1245791359 2272390029 3737374077 8720539513 11212122231 16195287667 26161618539 48585863001 78484855617 113367013669 145757589003 340101041007 1020303123021