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21213300042 = 232114122911411
BaseRepresentation
bin10011110000011010…
…010100010101001010
32000202101120022000100
4103300122110111022
5321421101100132
613424550350230
71350454034544
oct236032242512
960671508010
1021213300042
118aa639a330
12414035b376
132000b77a5c
1410534b8694
1584253237c
hex4f069454a

21213300042 has 96 divisors (see below), whose sum is σ = 51592282560. Its totient is φ = 6243552000.

The previous prime is 21213300013. The next prime is 21213300079. The reversal of 21213300042 is 24000331212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21213299988 and 21213300024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1853317 + ... + 1864727.

It is an arithmetic number, because the mean of its divisors is an integer number (537419610).

Almost surely, 221213300042 is an apocalyptic number.

21213300042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213300042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25796141280).

21213300042 is an abundant number, since it is smaller than the sum of its proper divisors (30378982518).

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

21213300042 is a wasteful number, since it uses less digits than its factorization.

21213300042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700 (or 11697 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21213300042 its reverse (24000331212), we get a palindrome (45213631254).

The spelling of 21213300042 in words is "twenty-one billion, two hundred thirteen million, three hundred thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 229 246 369 451 458 687 738 902 1353 1374 2061 2519 2706 4059 4122 5038 7557 8118 9389 11411 15114 18778 22671 22822 28167 34233 45342 56334 68466 84501 102699 103279 125521 169002 205398 206558 251042 309837 376563 467851 619674 753126 929511 935702 1129689 1403553 1859022 2259378 2613119 2807106 4210659 5146361 5226238 7839357 8421318 10292722 15439083 15678714 23518071 28744309 30878166 46317249 47036142 57488618 86232927 92634498 107137879 172465854 214275758 258698781 321413637 517397562 642827274 964240911 1178516669 1928481822 2357033338 3535550007 7071100014 10606650021 21213300042