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20121231384 = 2334142321821
BaseRepresentation
bin10010101111010100…
…011010000000011000
31220221021122110110000
4102233110122000120
5312202013401014
613124335453000
71311423434112
oct225724320030
956837573400
1020121231384
118595a01a51
123a96687160
131b88843197
14d8c4423b2
157cb716509
hex4af51a018

20121231384 has 80 divisors (see below), whose sum is σ = 56400268320. Its totient is φ = 6702056640.

The previous prime is 20121231371. The next prime is 20121231409. The reversal of 20121231384 is 48313212102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 911194 + ... + 933014.

It is an arithmetic number, because the mean of its divisors is an integer number (705003354).

Almost surely, 220121231384 is an apocalyptic number.

20121231384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121231384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200134160).

20121231384 is an abundant number, since it is smaller than the sum of its proper divisors (36279036936).

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

20121231384 is a wasteful number, since it uses less digits than its factorization.

20121231384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23262 (or 23249 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 20121231384 its reverse (48313212102), we get a palindrome (68434443486).

The spelling of 20121231384 in words is "twenty billion, one hundred twenty-one million, two hundred thirty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1423 2846 4269 5692 8538 11384 12807 17076 21821 25614 34152 38421 43642 51228 65463 76842 87284 102456 115263 130926 153684 174568 196389 230526 261852 307368 392778 461052 523704 589167 785556 922104 1178334 1571112 1767501 2356668 3535002 4713336 7070004 14140008 31051283 62102566 93153849 124205132 186307698 248410264 279461547 372615396 558923094 745230792 838384641 1117846188 1676769282 2235692376 2515153923 3353538564 5030307846 6707077128 10060615692 20121231384