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213101400150 = 23352809195121
BaseRepresentation
bin1100011001110111010…
…1010101000001010110
3202101001101212202211000
43012131311111001112
511442412424301100
6241521502324130
721252565004622
oct3063565250126
9671041782730
10213101400150
1182415204031
1235373289646
1317131704a62
14a4580c4182
155823755900
hex319dd55056

213101400150 has 96 divisors (see below), whose sum is σ = 587941610400. Its totient is φ = 56756505600.

The previous prime is 213101400133. The next prime is 213101400151. The reversal of 213101400150 is 51004101312.

213101400150 is a `hidden beast` number, since 2 + 13 + 101 + 400 + 150 = 666.

213101400150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213101400151) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 994590 + ... + 1189710.

It is an arithmetic number, because the mean of its divisors is an integer number (6124391775).

Almost surely, 2213101400150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213101400150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293970805200).

213101400150 is an abundant number, since it is smaller than the sum of its proper divisors (374840210250).

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

213101400150 is a wasteful number, since it uses less digits than its factorization.

213101400150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195951 (or 195940 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 213101400150 its reverse (51004101312), we get a palindrome (264105501462).

The spelling of 213101400150 in words is "two hundred thirteen billion, one hundred one million, four hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 809 1350 1618 2427 4045 4854 7281 8090 12135 14562 20225 21843 24270 36405 40450 43686 60675 72810 109215 121350 182025 195121 218430 364050 390242 546075 585363 975605 1092150 1170726 1756089 1951210 2926815 3512178 4878025 5268267 5853630 8780445 9756050 10536534 14634075 17560890 26341335 29268150 43902225 52682670 87804450 131706675 157852889 263413350 315705778 473558667 789264445 947117334 1420676001 1578528890 2367793335 2841352002 3946322225 4262028003 4735586670 7103380005 7892644450 8524056006 11838966675 14206760010 21310140015 23677933350 35516900025 42620280030 71033800050 106550700075 213101400150