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1020011120220 = 223547769470359
BaseRepresentation
bin11101101011111010110…
…01101000011001011100
310121111211022212122210210
432311331121220121130
5113202440321321340
62100330414132420
7133456553316261
oct16657531503134
93544738778723
101020011120220
1136364775a784
121458277b1110
1375257067b91
1437523dc5268
151b7ed47c180
hexed7d66865c

1020011120220 has 96 divisors (see below), whose sum is σ = 2920596940800. Its totient is φ = 265868918784.

The previous prime is 1020011120209. The next prime is 1020011120251. The reversal of 1020011120220 is 220211100201.

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 = 1020011120196 and 1020011120205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1933401 + ... + 2403759.

It is an arithmetic number, because the mean of its divisors is an integer number (30422884800).

Almost surely, 21020011120220 is an apocalyptic number.

1020011120220 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 1020011120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460298470400).

1020011120220 is an abundant number, since it is smaller than the sum of its proper divisors (1900585820580).

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

1020011120220 is a wasteful number, since it uses less digits than its factorization.

1020011120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471187 (or 471185 counting only the distinct ones).

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

Adding to 1020011120220 its reverse (220211100201), we get a palindrome (1240222220421).

It can be divided in two parts, 102001 and 1120220, that added together give a palindrome (1222221).

The spelling of 1020011120220 in words is "one trillion, twenty billion, eleven million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 769 940 1410 1538 2307 2820 3076 3845 4614 7690 9228 11535 15380 23070 36143 46140 72286 108429 144572 180715 216858 361430 433716 470359 542145 722860 940718 1084290 1411077 1881436 2168580 2351795 2822154 4703590 5644308 7055385 9407180 14110770 22106873 28221540 44213746 66320619 88427492 110534365 132641238 221068730 265282476 331603095 361706071 442137460 663206190 723412142 1085118213 1326412380 1446824284 1808530355 2170236426 3617060710 4340472852 5425591065 7234121420 10851182130 17000185337 21702364260 34000370674 51000556011 68000741348 85000926685 102001112022 170001853370 204002224044 255002780055 340003706740 510005560110 1020011120220