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20100001012020 = 22325315067171089
BaseRepresentation
bin1001001000111111001010…
…11010111001100100110100
32122011112121122000021010200
410210133211122321210310
510113304300224341040
6110425451334520500
74143114522423606
oct444374532714464
978145548007120
1020100001012020
11644a3a9624516
122307621806130
13b2a564088cb7
144d6bb94a3176
1524cca9220630
hex1247e56b9934

20100001012020 has 144 divisors (see below), whose sum is σ = 62938904770560. Its totient is φ = 5186921702400.

The previous prime is 20100001011997. The next prime is 20100001012061. The reversal of 20100001012020 is 2021010000102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20100001011993 and 20100001012011.

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 47 ways as a sum of consecutive naturals, for example, 282708636 + ... + 282779724.

Almost surely, 220100001012020 is an apocalyptic number.

20100001012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100001012020 is an abundant number, since it is smaller than the sum of its proper divisors (42838903758540).

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

20100001012020 is a wasteful number, since it uses less digits than its factorization.

20100001012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121806 (or 121801 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100001012020 its reverse (2021010000102), we get a palindrome (22121011012122).

The spelling of 20100001012020 in words is "twenty trillion, one hundred billion, one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 50671 71089 101342 142178 152013 202684 213267 253355 284356 304026 355445 426534 456039 506710 608052 639801 710890 760065 853068 912078 1013420 1066335 1279602 1421780 1520130 1570801 1824156 2132670 2203759 2280195 2559204 3040260 3141602 3199005 4265340 4407518 4560390 4712403 6283204 6398010 6611277 7854005 8815036 9120780 9424806 11018795 12796020 13222554 14137209 15708010 18849612 19833831 22037590 23562015 26445108 28274418 31416020 33056385 39667662 44075180 47124030 56548836 66112770 70686045 79335324 94248060 99169155 132225540 141372090 198338310 282744180 396676620 3602150719 7204301438 10806452157 14408602876 18010753595 21612904314 32419356471 36021507190 43225808628 54032260785 64838712942 72043014380 108064521570 111666672289 129677425884 162096782355 216129043140 223333344578 324193564710 335000016867 446666689156 558333361445 648387129420 670000033734 1005000050601 1116666722890 1340000067468 1675000084335 2010000101202 2233333445780 3350000168670 4020000202404 5025000253005 6700000337340 10050000506010 20100001012020