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20212110384 = 24323971731091
BaseRepresentation
bin10010110100101111…
…000101010000110000
31221011121122120222220
4102310233011100300
5312343300013014
613141343401040
71313606050344
oct226457052060
957147576886
1020212110384
118632233764
123b00bb3180
131ba161223b
14d9a53b624
157d46b86a9
hex4b4bc5430

20212110384 has 160 divisors (see below), whose sum is σ = 55415453184. Its totient is φ = 6335324160.

The previous prime is 20212110383. The next prime is 20212110419. The reversal of 20212110384 is 48301121202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20212110383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18525679 + ... + 18526769.

Almost surely, 220212110384 is an apocalyptic number.

20212110384 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 20212110384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27707726592).

20212110384 is an abundant number, since it is smaller than the sum of its proper divisors (35203342800).

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

20212110384 is a wasteful number, since it uses less digits than its factorization.

20212110384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 20212110384 its reverse (48301121202), we get a palindrome (68513231586).

The spelling of 20212110384 in words is "twenty billion, two hundred twelve million, one hundred ten thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 97 138 173 184 194 276 291 346 368 388 519 552 582 692 776 1038 1091 1104 1164 1384 1552 2076 2182 2231 2328 2768 3273 3979 4152 4364 4462 4656 6546 6693 7958 8304 8728 8924 11937 13092 13386 15916 16781 17456 17848 23874 25093 26184 26772 31832 33562 35696 47748 50186 50343 52368 53544 63664 67124 75279 95496 100372 100686 105827 107088 134248 150558 188743 190992 200744 201372 211654 268496 301116 317481 377486 385963 401488 402744 423308 566229 602232 634962 754972 771926 805488 846616 1132458 1157889 1204464 1269924 1509944 1543852 1693232 2264916 2315778 2434021 2539848 3019888 3087704 4341089 4529832 4631556 4868042 5079696 6175408 7302063 8682178 9059664 9263112 9736084 13023267 14604126 17364356 18308071 18526224 19472168 26046534 29208252 34728712 36616142 38944336 52093068 54924213 58416504 69457424 73232284 104186136 109848426 116833008 146464568 208372272 219696852 292929136 421085633 439393704 842171266 878787408 1263256899 1684342532 2526513798 3368685064 5053027596 6737370128 10106055192 20212110384