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1020020030205 = 351121993079199
BaseRepresentation
bin11101101011111011110…
…11100111101011111101
310121111211221122100000020
432311331323213223331
5113203000111431310
62100331333122353
7133460022126021
oct16657573475375
93544757570006
101020020030205
11363651795a00
1214582a7893b9
1375258b67567
1437525264381
151b7ee13c170
hexed7dee7afd

1020020030205 has 96 divisors (see below), whose sum is σ = 1808970240000. Its totient is φ = 490413813120.

The previous prime is 1020020030189. The next prime is 1020020030213. The reversal of 1020020030205 is 5020300200201.

It is not a de Polignac number, because 1020020030205 - 24 = 1020020030189 is a prime.

It is a super-4 number, since 4×10200200302054 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110879196 + ... + 110888394.

It is an arithmetic number, because the mean of its divisors is an integer number (18843440000).

Almost surely, 21020020030205 is an apocalyptic number.

1020020030205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020020030205 is a deficient number, since it is larger than the sum of its proper divisors (788950209795).

1020020030205 is a wasteful number, since it uses less digits than its factorization.

1020020030205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9735 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 1020020030205 its reverse (5020300200201), we get a palindrome (6040320230406).

The spelling of 1020020030205 in words is "one trillion, twenty billion, twenty million, thirty thousand, two hundred five".

Divisors: 1 3 5 11 15 33 55 121 165 199 307 363 597 605 921 995 1535 1815 2189 2985 3377 4605 6567 9199 10131 10945 16885 24079 27597 32835 37147 45995 50655 61093 72237 101189 111441 120395 137985 183279 185735 303567 305465 361185 505945 557205 672023 916395 1113079 1517835 1830601 2016069 2824093 3339237 3360115 5491803 5565395 7392253 8472279 9153005 10080345 14120465 16696185 20136611 22176759 27459015 31065023 36961265 42361395 60409833 93195069 100683055 110883795 155325115 221502721 302049165 341715253 465975345 561994507 664508163 1025145759 1107513605 1685983521 1708576265 2809972535 3322540815 5125728795 6181939577 8429917605 18545818731 30909697885 68001335347 92729093655 204004006041 340006676735 1020020030205