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20210001121002 = 237111391889166601
BaseRepresentation
bin1001001100001100000011…
…11100000000111011101010
32122120001112201121210000010
410212012001330000323222
510122110040241333002
6110552202450552350
74154060445060030
oct446060174007352
978501481553003
1020210001121002
1164920168394a0
122324a005986b6
13b37a445c3694
144dc2526b4550
15250a9633a46c
hex126181f00eea

20210001121002 has 128 divisors (see below), whose sum is σ = 50783488358400. Its totient is φ = 5208795648000.

The previous prime is 20210001120983. The next prime is 20210001121019. The reversal of 20210001121002 is 20012110001202.

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 63 ways as a sum of consecutive naturals, for example, 121224502 + ... + 121391102.

It is an arithmetic number, because the mean of its divisors is an integer number (396746002800).

Almost surely, 220210001121002 is an apocalyptic number.

20210001121002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20210001121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25391744179200).

20210001121002 is an abundant number, since it is smaller than the sum of its proper divisors (30573487237398).

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

20210001121002 is a wasteful number, since it uses less digits than its factorization.

20210001121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168652.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20210001121002 its reverse (20012110001202), we get a palindrome (40222111122204).

The spelling of 20210001121002 in words is "twenty trillion, two hundred ten billion, one million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 139 154 231 278 417 462 834 973 1529 1889 1946 2919 3058 3778 4587 5667 5838 9174 10703 11334 13223 20779 21406 26446 32109 39669 41558 62337 64218 79338 124674 145453 166601 262571 290906 333202 436359 499803 525142 787713 872718 999606 1166207 1575426 1832611 1837997 2332414 2888281 3498621 3665222 3675994 5497833 5513991 5776562 6997242 8664843 10995666 11027982 12828277 17329686 20217967 23157539 25656554 38484831 40435934 46315078 60653901 69472617 76969662 121307802 138945234 162102773 254732929 314709289 324205546 486308319 509465858 629418578 764198787 944127867 972616638 1528397574 1783130503 1888255734 2202965023 3461802179 3566261006 4405930046 5349391509 6608895069 6923604358 10385406537 10698783018 13217790138 20770813074 24232615253 43744591171 48465230506 72697845759 87489182342 131233773513 145395691518 262467547026 306212138197 481190502881 612424276394 918636414591 962381005762 1443571508643 1837272829182 2887143017286 3368333520167 6736667040334 10105000560501 20210001121002