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323021000220 = 2235291123165311
BaseRepresentation
bin1001011001101011000…
…11010100111000011100
31010212202220000000012220
410230311203110320130
520243021334001340
6404221021025340
732223522125142
oct4546543247034
91125686000186
10323021000220
11114aa0a2a516
125272b0b5250
13245cb361529
14118c4739592
15860876aed0
hex4b358d4e1c

323021000220 has 96 divisors (see below), whose sum is σ = 936485867520. Its totient is φ = 83094063360.

The previous prime is 323021000189. The next prime is 323021000231. The reversal of 323021000220 is 22000120323.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 323021000220.

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, 1871365 + ... + 2036675.

It is an arithmetic number, because the mean of its divisors is an integer number (9755061120).

Almost surely, 2323021000220 is an apocalyptic number.

323021000220 is a gapful number since it is divisible by the number (30) 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 323021000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468242933760).

323021000220 is an abundant number, since it is smaller than the sum of its proper divisors (613464867300).

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

323021000220 is a wasteful number, since it uses less digits than its factorization.

323021000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166475 (or 166473 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 323021000220 its reverse (22000120323), we get a palindrome (345021120543).

The spelling of 323021000220 in words is "three hundred twenty-three billion, twenty-one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1123 1740 2246 3369 4492 5615 6738 11230 13476 16845 22460 32567 33690 65134 67380 97701 130268 162835 165311 195402 325670 330622 390804 488505 495933 651340 661244 826555 977010 991866 1653110 1954020 1983732 2479665 3306220 4794019 4959330 9588038 9918660 14382057 19176076 23970095 28764114 47940190 57528228 71910285 95880380 143820570 185644253 287641140 371288506 556932759 742577012 928221265 1113865518 1856442530 2227731036 2784663795 3712885060 5383683337 5569327590 10767366674 11138655180 16151050011 21534733348 26918416685 32302100022 53836833370 64604200044 80755250055 107673666740 161510500110 323021000220