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2021210202112 = 2131009244529
BaseRepresentation
bin11101011010011001100…
…001000010000000000000
321011020002121120202102021
4131122121201002000000
5231103414302431422
64144310421131224
7266012321151013
oct35323141020000
97136077522367
102021210202112
1170a210514642
12287883259b14
131187a389601a
146db8179d37a
153789a0ebdc7
hex1d699842000

2021210202112 has 56 divisors (see below), whose sum is σ = 4046196339900. Its totient is φ = 1009599381504.

The previous prime is 2021210202091. The next prime is 2021210202113. The reversal of 2021210202112 is 2112020121202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1699748417536 + 321461784576 = 1303744^2 + 566976^2 .

It is a super-2 number, since 2×20212102021122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2021210202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8143464 + ... + 8387992.

Almost surely, 22021210202112 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 2021210202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023098169950).

2021210202112 is an abundant number, since it is smaller than the sum of its proper divisors (2024986137788).

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

2021210202112 is an equidigital number, since it uses as much as digits as its factorization.

2021210202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245564 (or 245540 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2021210202112 its reverse (2112020121202), we get a palindrome (4133230323314).

The spelling of 2021210202112 in words is "two trillion, twenty-one billion, two hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1009 1024 2018 2048 4036 4096 8072 8192 16144 32288 64576 129152 244529 258304 489058 516608 978116 1033216 1956232 2066432 3912464 4132864 7824928 8265728 15649856 31299712 62599424 125198848 246729761 250397696 493459522 500795392 986919044 1001590784 1973838088 2003181568 3947676176 7895352352 15790704704 31581409408 63162818816 126325637632 252651275264 505302550528 1010605101056 2021210202112