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1002430022420 = 22513915119312373
BaseRepresentation
bin11101001011001010111…
…11000100001100010100
310112211110001221100120102
432211211133010030110
5112410434041204140
62044302054153232
7132265102413341
oct16454537041424
93484401840512
101002430022420
11357145683792
1214233b952818
13736b4866728
143673707d7c8
151b11ec6ce15
hexe9657c4314

1002430022420 has 96 divisors (see below), whose sum is σ = 2145520930560. Its totient is φ = 393370214400.

The previous prime is 1002430022401. The next prime is 1002430022449. The reversal of 1002430022420 is 242200342001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1002430022392 and 1002430022401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 81011354 + ... + 81023726.

It is an arithmetic number, because the mean of its divisors is an integer number (22349176360).

Almost surely, 21002430022420 is an apocalyptic number.

1002430022420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002430022420 is an abundant number, since it is smaller than the sum of its proper divisors (1143090908140).

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

1002430022420 is a wasteful number, since it uses less digits than its factorization.

1002430022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12865 (or 12863 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1002430022420 its reverse (242200342001), we get a palindrome (1244630364421).

The spelling of 1002430022420 in words is "one trillion, two billion, four hundred thirty million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 139 151 193 278 302 386 556 604 695 755 772 965 1390 1510 1930 2780 3020 3860 12373 20989 24746 26827 29143 41978 49492 53654 58286 61865 83956 104945 107308 116572 123730 134135 145715 209890 247460 268270 291430 419780 536540 582860 1719847 1868323 2387989 3439694 3736646 4050877 4775978 6879388 7473292 8101754 8599235 9341615 9551956 11939945 16203508 17198470 18683230 20254385 23879890 34396940 37366460 40508770 47759780 81017540 259696897 331930471 360586339 519393794 663860942 721172678 1038787588 1298484485 1327721884 1442345356 1659652355 1802931695 2596968970 3319304710 3605863390 5193937940 6638609420 7211726780 50121501121 100243002242 200486004484 250607505605 501215011210 1002430022420