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2021000102212 = 2271371157498089
BaseRepresentation
bin11101011010001100111…
…111100100000101000100
321011012112222020120112111
4131122030333210011010
5231103002011232322
64144233514030404
7266004160266610
oct35321477440504
97135488216474
102021000102212
1170a112963463
12287824a18404
1311876c1b3860
146db6190c340
153788694a177
hex1d68cfe4144

2021000102212 has 96 divisors (see below), whose sum is σ = 4442357122560. Its totient is φ = 783233418240.

The previous prime is 2021000102071. The next prime is 2021000102243. The reversal of 2021000102212 is 2122010001202.

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 = 2021000102192 and 2021000102201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3808464 + ... + 4306552.

It is an arithmetic number, because the mean of its divisors is an integer number (46274553360).

Almost surely, 22021000102212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021000102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221178561280).

2021000102212 is an abundant number, since it is smaller than the sum of its proper divisors (2421357020348).

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

2021000102212 is a wasteful number, since it uses less digits than its factorization.

2021000102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498341 (or 498339 counting only the distinct ones).

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

Adding to 2021000102212 its reverse (2122010001202), we get a palindrome (4143010103414).

It can be divided in two parts, 2021000 and 102212, that added together give a palindrome (2123212).

The spelling of 2021000102212 in words is "two trillion, twenty-one billion, one hundred two thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 142 157 182 284 314 364 497 628 923 994 1099 1846 1988 2041 2198 3692 4082 4396 6461 8164 11147 12922 14287 22294 25844 28574 44588 57148 78029 144911 156058 289822 312116 498089 579644 996178 1014377 1992356 2028754 3486623 4057508 6475157 6973246 12950314 13946492 25900628 35364319 45326099 70728638 78199973 90652198 141457276 156399946 181304396 247550233 312799892 459736147 495100466 547399811 919472294 990200932 1016599649 1094799622 1838944588 2033199298 2189599244 3218153029 4066398596 5552198083 6436306058 7116197543 11104396166 12872612116 14232395086 22208792332 28464790172 38865386581 72178575079 77730773162 144357150158 155461546324 288714300316 505250025553 1010500051106 2021000102212