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2021012345124 = 22321915831866517
BaseRepresentation
bin11101011010001101101…
…110010001000100100100
321011012120211021120122200
4131122031232101010210
5231103013130020444
64144235032254500
7266004366330333
oct35321556210444
97135524246580
102021012345124
1170a119865773
12287828b41430
131187718ac296
146db633b7d1a
1537887a67969
hex1d68db91124

2021012345124 has 72 divisors (see below), whose sum is σ = 5380947411840. Its totient is φ = 637810915392.

The previous prime is 2021012345123. The next prime is 2021012345167. The reversal of 2021012345124 is 4215432101202.

2021012345124 is a `hidden beast` number, since 2 + 0 + 21 + 0 + 123 + 4 + 512 + 4 = 666.

It is a super-2 number, since 2×20210123451242 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2021012345123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 149514 + ... + 2016030.

It is an arithmetic number, because the mean of its divisors is an integer number (74735380720).

Almost surely, 22021012345124 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 2021012345124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690473705920).

2021012345124 is an abundant number, since it is smaller than the sum of its proper divisors (3359935066716).

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

2021012345124 is a wasteful number, since it uses less digits than its factorization.

2021012345124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868129 (or 1868124 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2021012345124 its reverse (4215432101202), we get a palindrome (6236444446326).

The spelling of 2021012345124 in words is "two trillion, twenty-one billion, twelve million, three hundred forty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1583 3166 4749 6332 9498 14247 18996 28494 30077 56988 60154 90231 120308 180462 270693 360924 541386 1082772 1866517 3733034 5599551 7466068 11199102 16798653 22398204 33597306 35463823 67194612 70927646 106391469 141855292 212782938 319174407 425565876 638348814 1276697628 2954696411 5909392822 8864089233 11818785644 17728178466 26592267699 35456356932 53184535398 56139231809 106369070796 112278463618 168417695427 224556927236 336835390854 505253086281 673670781708 1010506172562 2021012345124