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1020302102120 = 23572523995339
BaseRepresentation
bin11101101100011101011…
…11101000111001101000
310121112120121102001221012
432312032233220321220
5113204034314231440
62100415331003052
7133500015526100
oct16661657507150
93545517361835
101020302102120
11363786a34794
121458a9139488
13752a2429012
14375508cc200
151b818ca8e65
hexed8ebe8e68

1020302102120 has 96 divisors (see below), whose sum is σ = 2675593360800. Its totient is φ = 349148644992.

The previous prime is 1020302102119. The next prime is 1020302102173. The reversal of 1020302102120 is 212012030201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1020302102095 and 1020302102104.

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 23 ways as a sum of consecutive naturals, for example, 527411 + ... + 1522749.

It is an arithmetic number, because the mean of its divisors is an integer number (27870764175).

Almost surely, 21020302102120 is an apocalyptic number.

1020302102120 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 1020302102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337796680400).

1020302102120 is an abundant number, since it is smaller than the sum of its proper divisors (1655291258680).

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

1020302102120 is a wasteful number, since it uses less digits than its factorization.

1020302102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995887 (or 995876 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1020302102120 its reverse (212012030201), we get a palindrome (1232314132321).

The spelling of 1020302102120 in words is "one trillion, twenty billion, three hundred two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 523 980 1046 1960 2092 2615 3661 4184 5230 7322 10460 14644 18305 20920 25627 29288 36610 51254 73220 102508 128135 146440 205016 256270 512540 995339 1025080 1990678 3981356 4976695 6967373 7962712 9953390 13934746 19906780 27869492 34836865 39813560 48771611 55738984 69673730 97543222 139347460 195086444 243858055 278694920 390172888 487716110 520562297 975432220 1041124594 1950864440 2082249188 2602811485 3643936079 4164498376 5205622970 7287872158 10411245940 14575744316 18219680395 20822491880 25507552553 29151488632 36439360790 51015105106 72878721580 102030210212 127537762765 145757443160 204060420424 255075525530 510151051060 1020302102120