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1021022011020 = 2235111924285327
BaseRepresentation
bin11101101101110011010…
…01110111111010001100
310121121102210001020021210
432312321221313322030
5113212023113323040
62101015005054420
7133523606616624
oct16667151677214
93547383036253
101021022011020
11364016341a20
12145a6a257410
137538861920b
14375bc369884
151b85c0b0480
hexedb9a77e8c

1021022011020 has 144 divisors (see below), whose sum is σ = 3291543295488. Its totient is φ = 234493038720.

The previous prime is 1021022010997. The next prime is 1021022011099. The reversal of 1021022011020 is 201102201201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1021022010987 and 1021022011005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1904404 + ... + 2380923.

It is an arithmetic number, because the mean of its divisors is an integer number (22857939552).

Almost surely, 21021022011020 is an apocalyptic number.

1021022011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021022011020 is an abundant number, since it is smaller than the sum of its proper divisors (2270521284468).

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

1021022011020 is a wasteful number, since it uses less digits than its factorization.

1021022011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285388 (or 4285367 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1021022011020 its reverse (201102201201), we get a palindrome (1222124212221).

The spelling of 1021022011020 in words is "one trillion, twenty-one billion, twenty-two million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 361 380 418 570 627 660 722 836 1045 1083 1140 1254 1444 1805 2090 2166 2508 3135 3610 3971 4180 4332 5415 6270 7220 7942 10830 11913 12540 15884 19855 21660 23826 39710 47652 59565 79420 119130 238260 4285327 8570654 12855981 17141308 21426635 25711962 42853270 47138597 51423924 64279905 81421213 85706540 94277194 128559810 141415791 162842426 188554388 235692985 244263639 257119620 282831582 325684852 407106065 471385970 488527278 565663164 707078955 814212130 895633343 942771940 977054556 1221318195 1414157910 1547003047 1628424260 1791266686 2442636390 2686900029 2828315820 3094006094 3582533372 4478166715 4641009141 4885272780 5373800058 6188012188 7735015235 8956333430 9282018282 10747600116 13434500145 15470030470 17017033517 17912666860 18564036564 23205045705 26869000290 30940060940 34034067034 46410091410 51051100551 53738000580 68068134068 85085167585 92820182820 102102201102 170170335170 204204402204 255255502755 340340670340 510511005510 1021022011020