Search a number
-
+
101212201210200 = 2335223291663152077
BaseRepresentation
bin10111000000110101001101…
…010011001101000101011000
3111021100210101022202100010020
4113000311031103031011120
5101231230042002211300
6555132124321350440
730214224461336553
oct2700651523150530
9437323338670106
10101212201210200
112a281942a94063
12b427729498420
134462367484552
141adc9a797369a
15ba7b657238a0
hex5c0d4d4cd158

101212201210200 has 384 divisors, whose sum is σ = 338894995046400. Its totient is φ = 24911070750720.

The previous prime is 101212201210187. The next prime is 101212201210207. The reversal of 101212201210200 is 2012102212101.

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 101212201210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212201210207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 665456562 + ... + 665608638.

It is an arithmetic number, because the mean of its divisors is an integer number (882539049600).

Almost surely, 2101212201210200 is an apocalyptic number.

101212201210200 is a gapful number since it is divisible by the number (10) 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 101212201210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169447497523200).

101212201210200 is an abundant number, since it is smaller than the sum of its proper divisors (237682793836200).

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

101212201210200 is a wasteful number, since it uses less digits than its factorization.

101212201210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153811 (or 153802 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101212201210200 its reverse (2012102212101), we get a palindrome (103224303422301).

The spelling of 101212201210200 in words is "one hundred one trillion, two hundred twelve billion, two hundred one million, two hundred ten thousand, two hundred".