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20212004142 = 2331150876689
BaseRepresentation
bin10010110100101110…
…101011010100101110
31221011121110012021000
4102310232223110232
5312343233113032
613141341221130
71313605125531
oct226456532456
957147405230
1020212004142
118632170960
123b00b617a6
131ba15a5a85
14d9a510a18
157d4696e7c
hex4b4bab52e

20212004142 has 64 divisors (see below), whose sum is σ = 49015756800. Its totient is φ = 6122730240.

The previous prime is 20212004063. The next prime is 20212004173. The reversal of 20212004142 is 24140021202.

It is a super-3 number, since 3×202120041423 (a number of 32 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 (18).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3018334 + ... + 3025022.

It is an arithmetic number, because the mean of its divisors is an integer number (765871200).

Almost surely, 220212004142 is an apocalyptic number.

20212004142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20212004142 is an abundant number, since it is smaller than the sum of its proper divisors (28803752658).

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

20212004142 is a wasteful number, since it uses less digits than its factorization.

20212004142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11798 (or 11792 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20212004142 its reverse (24140021202), we get a palindrome (44352025344).

The spelling of 20212004142 in words is "twenty billion, two hundred twelve million, four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 5087 6689 10174 13378 15261 20067 30522 40134 45783 55957 60201 73579 91566 111914 120402 137349 147158 167871 180603 220737 274698 335742 361206 441474 503613 662211 1007226 1324422 1510839 1986633 3021678 3973266 34026943 68053886 102080829 204161658 306242487 374296373 612484974 748592746 918727461 1122889119 1837454922 2245778238 3368667357 6737334714 10106002071 20212004142