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1020000302232 = 233374159946771
BaseRepresentation
bin11101101011111001100…
…00010111010010011000
310121111210120112001022120
432311330300113102120
5113202430034132412
62100325350221240
7133456362342042
oct16657460272230
93544716461276
101020000302232
11363641640a9a
12145824054820
1375254a4abc2
14375227aaa92
151b7ec541b8c
hexed7cc17498

1020000302232 has 128 divisors (see below), whose sum is σ = 2687332032000. Its totient is φ = 322196659200.

The previous prime is 1020000302179. The next prime is 1020000302257. The reversal of 1020000302232 is 2322030000201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21785007 + ... + 21831777.

It is an arithmetic number, because the mean of its divisors is an integer number (20994781500).

Almost surely, 21020000302232 is an apocalyptic number.

1020000302232 is a gapful number since it is divisible by the number (12) 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 1020000302232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343666016000).

1020000302232 is an abundant number, since it is smaller than the sum of its proper divisors (1667331729768).

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

1020000302232 is a wasteful number, since it uses less digits than its factorization.

1020000302232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47457 (or 47453 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1020000302232 its reverse (2322030000201), we get a palindrome (3342030302433).

The spelling of 1020000302232 in words is "one trillion, twenty billion, three hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 41 74 82 111 123 148 164 222 246 296 328 444 492 599 888 984 1198 1517 1797 2396 3034 3594 4551 4792 6068 7188 9102 12136 14376 18204 22163 24559 36408 44326 46771 49118 66489 73677 88652 93542 98236 132978 140313 147354 177304 187084 196472 265956 280626 294708 374168 531912 561252 589416 908683 1122504 1730527 1817366 1917611 2726049 3461054 3634732 3835222 5191581 5452098 5752833 6922108 7269464 7670444 10383162 10904196 11505666 13844216 15340888 20766324 21808392 23011332 28015829 41532648 46022664 56031658 70951607 84047487 112063316 141903214 168094974 212854821 224126632 283806428 336189948 425709642 567612856 672379896 851419284 1036585673 1148648989 1702838568 2073171346 2297297978 3109757019 3445946967 4146342692 4594595956 6219514038 6891893934 8292685384 9189191912 12439028076 13783787868 24878056152 27567575736 42500012593 85000025186 127500037779 170000050372 255000075558 340000100744 510000151116 1020000302232