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215254321100 = 225271324119811
BaseRepresentation
bin1100100001111000101…
…0000100011111001100
3202120121102222111010222
43020132022010133030
512011320101233400
6242515251050512
721360126353240
oct3103612043714
9676542874128
10215254321100
118331a4a8445
12358742a0a38
13173b5761690
14a5bddc8420
1558ec773185
hex321e2847cc

215254321100 has 144 divisors (see below), whose sum is σ = 575191685376. Its totient is φ = 68089248000.

The previous prime is 215254321099. The next prime is 215254321109. The reversal of 215254321100 is 1123452512.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 215254321100.

It is not an unprimeable number, because it can be changed into a prime (215254321109) 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 47 ways as a sum of consecutive naturals, for example, 21935195 + ... + 21945005.

It is an arithmetic number, because the mean of its divisors is an integer number (3994386704).

Almost surely, 2215254321100 is an apocalyptic number.

215254321100 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 215254321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287595842688).

215254321100 is an abundant number, since it is smaller than the sum of its proper divisors (359937364276).

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

215254321100 is a wasteful number, since it uses less digits than its factorization.

215254321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12256 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 215254321100 its reverse (1123452512), we get a palindrome (216377773612).

The spelling of 215254321100 in words is "two hundred fifteen billion, two hundred fifty-four million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 2411 4550 4822 9100 9644 9811 12055 16877 19622 24110 31343 33754 39244 48220 49055 60275 62686 67508 68677 84385 98110 120550 125372 127543 137354 156715 168770 196220 219401 241100 245275 255086 274708 313430 337540 343385 421925 438802 490550 510172 626860 637715 686770 783575 843850 877604 892801 981100 1097005 1275430 1373540 1567150 1687700 1716925 1785602 2194010 2550860 3134300 3188575 3433850 3571204 4388020 4464005 5485025 6377150 6867700 8928010 10970050 12754300 17856020 21940100 22320025 23654321 44640050 47308642 89280100 94617284 118271605 165580247 236543210 307506173 331160494 473086420 591358025 615012346 662320988 827901235 1182716050 1230024692 1537530865 1655802470 2152543211 2365432100 3075061730 3311604940 4139506175 4305086422 6150123460 7687654325 8279012350 8610172844 10762716055 15375308650 16558024700 21525432110 30750617300 43050864220 53813580275 107627160550 215254321100