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2020202010112 = 29111322122489
BaseRepresentation
bin11101011001011101011…
…011000101011000000000
321011010111100111021222211
4131121131123011120000
5231044333203310422
64144022404111504
7265645326520516
oct35313533053000
97133440437884
102020202010112
11709843406010
12287641695594
13118672a4b200
146dac791c4b6
153783b84d577
hex1d65d6c5600

2020202010112 has 120 divisors (see below), whose sum is σ = 4768190764920. Its totient is φ = 847636807680.

The previous prime is 2020202010067. The next prime is 2020202010143. The reversal of 2020202010112 is 2110102020202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2020202010092 and 2020202010101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109437 + ... + 2013052.

It is an arithmetic number, because the mean of its divisors is an integer number (39734923041).

Almost surely, 22020202010112 is an apocalyptic number.

2020202010112 is a gapful number since it is divisible by the number (22) 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 2020202010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384095382460).

2020202010112 is an abundant number, since it is smaller than the sum of its proper divisors (2747988754808).

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

2020202010112 is a wasteful number, since it uses less digits than its factorization.

2020202010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122544 (or 2122515 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2020202010112 its reverse (2110102020202), we get a palindrome (4130304030314).

The spelling of 2020202010112 in words is "two trillion, twenty billion, two hundred two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 169 176 208 256 286 338 352 416 512 572 676 704 832 1144 1352 1408 1664 1859 2288 2704 2816 3328 3718 4576 5408 5632 6656 7436 9152 10816 14872 18304 21632 29744 36608 43264 59488 73216 86528 118976 237952 475904 951808 2122489 4244978 8489956 16979912 23347379 27592357 33959824 46694758 55184714 67919648 93389516 110369428 135839296 186779032 220738856 271678592 303515927 358700641 373558064 441477712 543357184 607031854 717401282 747116128 882955424 1086714368 1214063708 1434802564 1494232256 1765910848 2428127416 2869605128 2988464512 3531821696 3945707051 4856254832 5739210256 5976929024 7063643392 7891414102 9712509664 11478420512 11953858048 14127286784 15782828204 19425019328 22956841024 31565656408 38850038656 45913682048 63131312816 77700077312 91827364096 126262625632 155400154624 183654728192 252525251264 505050502528 1010101005056 2020202010112