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1022202102020 = 22511163199143243
BaseRepresentation
bin11101101111111111111…
…11100100000100000100
310121201111000121001210212
432313333333210010010
5113221432214231040
62101332042334552
7133565056335311
oct16677777440404
93551430531725
101022202102020
1136457148a840
121461394ba458
1375515c5c808
1437690d95d08
151b8ca9b6d65
hexedfffe4104

1022202102020 has 96 divisors (see below), whose sum is σ = 2367995212800. Its totient is φ = 367570431360.

The previous prime is 1022202102007. The next prime is 1022202102071. The reversal of 1022202102020 is 202012022201.

It is a junction number, because it is equal to n+sod(n) for n = 1022202101986 and 1022202102004.

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, 7064519 + ... + 7207761.

It is an arithmetic number, because the mean of its divisors is an integer number (24666616800).

Almost surely, 21022202102020 is an apocalyptic number.

1022202102020 is a gapful number since it is divisible by the number (10) 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 1022202102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183997606400).

1022202102020 is an abundant number, since it is smaller than the sum of its proper divisors (1345793110780).

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

1022202102020 is a wasteful number, since it uses less digits than its factorization.

1022202102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143625 (or 143623 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1022202102020 its reverse (202012022201), we get a palindrome (1224214124221).

The spelling of 1022202102020 in words is "one trillion, twenty-two billion, two hundred two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 199 220 326 398 652 796 815 995 1630 1793 1990 2189 3260 3586 3980 4378 7172 8756 8965 10945 17930 21890 32437 35860 43780 64874 129748 143243 162185 286486 324370 356807 572972 648740 713614 716215 1427228 1432430 1575673 1784035 2864860 3151346 3568070 6302692 7136140 7878365 15756730 23348609 28505357 31513460 46697218 57010714 93394436 114021428 116743045 142526785 233486090 256834699 285053570 313558927 466972180 513669398 570107140 627117854 1027338796 1254235708 1284173495 1567794635 2568346990 3135589270 4646373191 5136693980 6271178540 9292746382 18585492764 23231865955 46463731910 51110105101 92927463820 102220210202 204440420404 255550525505 511101051010 1022202102020