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1002323121100 = 225272241848779
BaseRepresentation
bin11101001010111110001…
…11010001001111001100
310112211011121210012112021
432211133013101033030
5112410224204333400
62044243315015524
7132262333645600
oct16453707211714
93484147705467
101002323121100
113570a02a9194
1214230bb9a5a4
1373698677902
1436726bb3500
151b1156a371a
hexe95f1d13cc

1002323121100 has 108 divisors (see below), whose sum is σ = 2540651476440. Its totient is φ = 342227289600.

The previous prime is 1002323121067. The next prime is 1002323121103. The reversal of 1002323121100 is 11213232001.

It is not an unprimeable number, because it can be changed into a prime (1002323121103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 756511 + ... + 1605289.

Almost surely, 21002323121100 is an apocalyptic number.

1002323121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002323121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270325738220).

1002323121100 is an abundant number, since it is smaller than the sum of its proper divisors (1538328355340).

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

1002323121100 is a wasteful number, since it uses less digits than its factorization.

1002323121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849048 (or 849034 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1002323121100 its reverse (11213232001), we get a palindrome (1013536353101).

The spelling of 1002323121100 in words is "one trillion, two billion, three hundred twenty-three million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 241 245 350 482 490 700 964 980 1205 1225 1687 2410 2450 3374 4820 4900 6025 6748 8435 11809 12050 16870 23618 24100 33740 42175 47236 59045 84350 118090 168700 236180 295225 590450 848779 1180900 1697558 3395116 4243895 5941453 8487790 11882906 16975580 21219475 23765812 29707265 41590171 42438950 59414530 83180342 84877900 118829060 148536325 166360684 204555739 207950855 297072650 409111478 415901710 594145300 818222956 831803420 1022778695 1039754275 1431890173 2045557390 2079508550 2863780346 4091114780 4159017100 5113893475 5727560692 7159450865 10023231211 10227786950 14318901730 20046462422 20455573900 28637803460 35797254325 40092924844 50116156055 71594508650 100232312110 143189017300 200464624220 250580780275 501161560550 1002323121100