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1020002201020 = 2251154766112823
BaseRepresentation
bin11101101011111001101…
…11100110110110111100
310121111210201002111222001
432311330313212312330
5113202431030413040
62100325455032044
7133456414440625
oct16657467466674
93544721074861
101020002201020
11363642718640
1214582480b624
137525526424a
1437522b42a4c
151b7ec7b959a
hexed7cde6dbc

1020002201020 has 96 divisors (see below), whose sum is σ = 2344728669696. Its totient is φ = 369642873600.

The previous prime is 1020002201003. The next prime is 1020002201021. The reversal of 1020002201020 is 201022000201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020002200988 and 1020002201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020002201021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79538329 + ... + 79551151.

It is an arithmetic number, because the mean of its divisors is an integer number (24424256976).

Almost surely, 21020002201020 is an apocalyptic number.

1020002201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020002201020 is an abundant number, since it is smaller than the sum of its proper divisors (1324726468676).

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

1020002201020 is a wasteful number, since it uses less digits than its factorization.

1020002201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14051 (or 14049 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020002201020 its reverse (201022000201), we get a palindrome (1221024201221).

The spelling of 1020002201020 in words is "one trillion, twenty billion, two million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 547 661 1094 1322 2188 2644 2735 3305 5470 6017 6610 7271 10940 12034 12823 13220 14542 24068 25646 29084 30085 36355 51292 60170 64115 72710 120340 128230 141053 145420 256460 282106 361567 564212 705265 723134 1410530 1446268 1807835 2821060 3615670 3977237 7014181 7231340 7954474 8476003 14028362 15908948 16952006 19886185 28056724 33904012 35070905 39772370 42380015 70141810 77155991 79544740 84760030 93236033 140283620 154311982 169520060 186472066 308623964 372944132 385779955 466180165 771559910 932360330 1543119820 1864720660 4636373641 9272747282 18545494564 23181868205 46363736410 51000110051 92727472820 102000220102 204000440204 255000550255 510001100510 1020002201020