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213554150000 = 245525716619
BaseRepresentation
bin1100011011100011010…
…0011011101001110000
3202102012221210211211222
43012320310123221300
511444324330300000
6242034434324212
721300033216212
oct3067064335160
9672187724758
10213554150000
1182627828764
123547aa29668
13171a4455289
14a49c29a5b2
15584d388a85
hex31b8d1ba70

213554150000 has 120 divisors (see below), whose sum is σ = 519211924560. Its totient is φ = 85084160000.

The previous prime is 213554149999. The next prime is 213554150027. The reversal of 213554150000 is 51455312.

213554150000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 12841691 + ... + 12858309.

It is an arithmetic number, because the mean of its divisors is an integer number (4326766038).

Almost surely, 2213554150000 is an apocalyptic number.

213554150000 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 213554150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259605962280).

213554150000 is an abundant number, since it is smaller than the sum of its proper divisors (305657774560).

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

213554150000 is an equidigital number, since it uses as much as digits as its factorization.

213554150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16909 (or 16883 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 213554150000 in words is "two hundred thirteen billion, five hundred fifty-four million, one hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 257 400 500 514 625 1000 1028 1250 1285 2000 2056 2500 2570 3125 4112 5000 5140 6250 6425 10000 10280 12500 12850 16619 20560 25000 25700 32125 33238 50000 51400 64250 66476 83095 102800 128500 132952 160625 166190 257000 265904 321250 332380 415475 514000 642500 664760 803125 830950 1285000 1329520 1606250 1661900 2077375 2570000 3212500 3323800 4154750 4271083 6425000 6647600 8309500 8542166 10386875 12850000 16619000 17084332 20773750 21355415 33238000 34168664 41547500 42710830 51934375 68337328 83095000 85421660 103868750 106777075 166190000 170843320 207737500 213554150 341686640 415475000 427108300 533885375 830950000 854216600 1067770750 1708433200 2135541500 2669426875 4271083000 5338853750 8542166000 10677707500 13347134375 21355415000 26694268750 42710830000 53388537500 106777075000 213554150000