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20010010110210 = 2325535923708251
BaseRepresentation
bin1001000110010111100011…
…00010110110100100000010
32121211221100000020210101100
410203023301202312210002
510110321000042011320
6110320245521315230
74133450463402441
oct443136142664402
977757300223340
1020010010110210
11641521a057a9a
1222b20a7a95b16
13b21c22100c83
144d26bd892d58
1524a78da8e790
hex1232f18b6902

20010010110210 has 96 divisors (see below), whose sum is σ = 53016673739328. Its totient is φ = 5234432112000.

The previous prime is 20010010110163. The next prime is 20010010110227. The reversal of 20010010110210 is 1201101001002.

It is a happy number.

It is a super-3 number, since 3×200100101102103 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 20010010110192 and 20010010110201.

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 47 ways as a sum of consecutive naturals, for example, 27898585 + ... + 28606835.

It is an arithmetic number, because the mean of its divisors is an integer number (552257018118).

Almost surely, 220010010110210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010010110210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26508336869664).

20010010110210 is an abundant number, since it is smaller than the sum of its proper divisors (33006663629118).

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

20010010110210 is a wasteful number, since it uses less digits than its factorization.

20010010110210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714240 (or 714237 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20010010110210 its reverse (1201101001002), we get a palindrome (21211111111212).

The spelling of 20010010110210 in words is "twenty trillion, ten billion, ten million, one hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 5923 11846 17769 29615 35538 53307 59230 88845 106614 177690 266535 313919 533070 627838 708251 941757 1416502 1569595 1883514 2124753 2825271 3139190 3541255 4249506 4708785 5650542 6374259 7082510 9417570 10623765 12748518 14126355 21247530 28252710 31871295 37537303 63742590 75074606 112611909 187686515 225223818 337835727 375373030 563059545 675671454 1126119090 1689178635 3378357270 4194970673 8389941346 12584912019 20974853365 25169824038 37754736057 41949706730 62924560095 75509472114 125849120190 188773680285 222333445669 377547360570 444666891338 667000337007 1111667228345 1334000674014 2001001011021 2223334456690 3335001685035 4002002022042 6670003370070 10005005055105 20010010110210