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212321010220 = 2251110128793319
BaseRepresentation
bin1100010110111101010…
…0011000001000101100
3202022001000102212002021
43011233110120020230
511434313134311340
6241312224035524
721224340544414
oct3055724301054
9668030385067
10212321010220
1182054747580
1235195a62ba4
1317038b29977
14a3c25c1644
1557c9ea3e4a
hex316f51822c

212321010220 has 96 divisors (see below), whose sum is σ = 491542732800. Its totient is φ = 76393632000.

The previous prime is 212321010211. The next prime is 212321010229. The reversal of 212321010220 is 22010123212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212321010211) and next prime (212321010229).

It is a super-2 number, since 2×2123210102202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212321010194 and 212321010203.

It is not an unprimeable number, because it can be changed into a prime (212321010229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63969721 + ... + 63973039.

It is an arithmetic number, because the mean of its divisors is an integer number (5120236800).

Almost surely, 2212321010220 is an apocalyptic number.

212321010220 is a gapful number since it is divisible by the number (20) 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 212321010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245771366400).

212321010220 is an abundant number, since it is smaller than the sum of its proper divisors (279221722580).

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

212321010220 is a wasteful number, since it uses less digits than its factorization.

212321010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212321010220 its reverse (22010123212), we get a palindrome (234331133432).

The spelling of 212321010220 in words is "two hundred twelve billion, three hundred twenty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 2879 3319 4444 5555 5758 6638 11110 11516 13276 14395 16595 22220 28790 31669 33190 36509 57580 63338 66380 73018 126676 146036 158345 182545 290779 316690 335219 365090 581558 633380 670438 730180 1163116 1340876 1453895 1676095 2907790 3198569 3352190 3687409 5815580 6397138 6704380 7374818 9555401 12794276 14749636 15992845 18437045 19110802 31985690 36874090 38221604 47777005 63971380 73748180 95554010 105109411 191108020 210218822 420437644 525547055 965095501 1051094110 1930191002 2102188220 3860382004 4825477505 9650955010 10616050511 19301910020 21232101022 42464202044 53080252555 106160505110 212321010220