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1030021131321 = 3271317223733071
BaseRepresentation
bin11101111110100100000…
…10110010110000111001
310122110122221110220120200
432333102002302300321
5113333440402200241
62105103555312413
7134262612105150
oct16772202626071
93573587426520
101030021131321
11367914092226
1214775bbab709
1376190b4bc80
1437bd35d2597
151bbd71664b6
hexefd20b2c39

1030021131321 has 96 divisors (see below), whose sum is σ = 1939788684288. Its totient is φ = 511104522240.

The previous prime is 1030021131311. The next prime is 1030021131331. The reversal of 1030021131321 is 1231311200301.

1030021131321 is a `hidden beast` number, since 1 + 0 + 300 + 2 + 11 + 31 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (1030021131311) and next prime (1030021131331).

It is not a de Polignac number, because 1030021131321 - 223 = 1030012742713 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1030021131294 and 1030021131303.

It is not an unprimeable number, because it can be changed into a prime (1030021131311) 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, 31129216 + ... + 31162286.

It is an arithmetic number, because the mean of its divisors is an integer number (20206132128).

Almost surely, 21030021131321 is an apocalyptic number.

It is an amenable number.

1030021131321 is a deficient number, since it is larger than the sum of its proper divisors (909767552967).

1030021131321 is a wasteful number, since it uses less digits than its factorization.

1030021131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35351 (or 35348 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1030021131321 its reverse (1231311200301), we get a palindrome (2261332331622).

The spelling of 1030021131321 in words is "one trillion, thirty billion, twenty-one million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 1071 1547 1989 2237 4641 6711 13923 15659 20133 29081 33071 38029 46977 87243 99213 114087 140931 203567 231497 261729 266203 297639 342261 429923 494377 562207 610701 694491 798609 1289769 1483131 1686621 1832103 2083473 2395827 3009461 3460639 3869307 3935449 4449393 5059863 7308691 9028383 10381917 11806347 21926073 27085149 31145751 35419041 51160837 65778219 73979827 153482511 221939481 460447533 517858789 665818443 961737751 1257657059 1553576367 2885213253 3772971177 4660729101 6732164257 8655639759 8803599413 11318913531 16349541767 20196492771 26410798239 49048625301 60589478313 79232394717 114446792369 147145875903 343340377107 1030021131321