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1020111013020 = 2235112367200989
BaseRepresentation
bin11101101100000110101…
…10101100010010011100
310121112002021211201222010
432312003112230102130
5113203141404404040
62100344343151220
7133462205354031
oct16660326542234
93545067751863
101020111013020
11363699088710
12145855145510
1375271971948
1437533389388
151b80710ee80
hexed835ac49c

1020111013020 has 96 divisors (see below), whose sum is σ = 3251452700160. Its totient is φ = 236547477760.

The previous prime is 1020111012953. The next prime is 1020111013049. The reversal of 1020111013020 is 203101110201.

1020111013020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 1020111012987 and 1020111013005.

It is a congruent number.

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, 33585315 + ... + 33615674.

It is an arithmetic number, because the mean of its divisors is an integer number (33869298960).

Almost surely, 21020111013020 is an apocalyptic number.

1020111013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020111013020 is an abundant number, since it is smaller than the sum of its proper divisors (2231341687140).

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

1020111013020 is a wasteful number, since it uses less digits than its factorization.

1020111013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67201035 (or 67201033 counting only the distinct ones).

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

Adding to 1020111013020 its reverse (203101110201), we get a palindrome (1223212123221).

The spelling of 1020111013020 in words is "one trillion, twenty billion, one hundred eleven million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 67200989 134401978 201602967 268803956 336004945 403205934 672009890 739210879 806411868 1008014835 1344019780 1478421758 1545622747 2016029670 2217632637 2956843516 3091245494 3696054395 4032059340 4435265274 4636868241 6182490988 7392108790 7728113735 8870530548 9273736482 11088163185 14784217580 15456227470 17001850217 18547472964 22176326370 23184341205 30912454940 34003700434 44352652740 46368682410 51005550651 68007400868 85009251085 92737364820 102011101302 170018502170 204022202604 255027753255 340037004340 510055506510 1020111013020