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1002120011320 = 235174613196759
BaseRepresentation
bin11101001010100110000…
…00011101111000111000
310112210122110121011021211
432211103000131320320
5112404320210330240
62044211221412504
7132254316360031
oct16452300357070
93483573534254
101002120011320
11356aa669186a
12142273b6a134
1373665571ccc
1436707c21a88
151b102932bea
hexe95301de38

1002120011320 has 64 divisors (see below), whose sum is σ = 2392583054400. Its totient is φ = 376450222080.

The previous prime is 1002120011297. The next prime is 1002120011323. The reversal of 1002120011320 is 231100212001.

It is a self number, because there is not a number n which added to its sum of digits gives 1002120011320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002120011323) 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 15 ways as a sum of consecutive naturals, for example, 1284900 + ... + 1911859.

It is an arithmetic number, because the mean of its divisors is an integer number (37384110225).

Almost surely, 21002120011320 is an apocalyptic number.

1002120011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002120011320 is an abundant number, since it is smaller than the sum of its proper divisors (1390463043080).

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

1002120011320 is a wasteful number, since it uses less digits than its factorization.

1002120011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197248 (or 3197244 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1002120011320 its reverse (231100212001), we get a palindrome (1233220223321).

The spelling of 1002120011320 in words is "one trillion, two billion, one hundred twenty million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 461 680 922 1844 2305 3688 4610 7837 9220 15674 18440 31348 39185 62696 78370 156740 313480 3196759 6393518 12787036 15983795 25574072 31967590 54344903 63935180 108689806 127870360 217379612 271724515 434759224 543449030 1086898060 1473705899 2173796120 2947411798 5894823596 7368529495 11789647192 14737058990 25053000283 29474117980 50106000566 58948235960 100212001132 125265001415 200424002264 250530002830 501060005660 1002120011320