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211201544253 = 3724283335453
BaseRepresentation
bin1100010010110010010…
…1111101000000111101
3202012010222222002110210
43010230211331000331
511430020043404003
6241005154023033
721154525335300
oct3045445750075
9665128862423
10211201544253
118162a847197
1234b22b77a79
1316bbac2197b
14a317a56b37
155761a75503
hex312c97d03d

211201544253 has 24 divisors (see below), whose sum is σ = 327655365408. Its totient is φ = 120658058976.

The previous prime is 211201544243. The next prime is 211201544263. The reversal of 211201544253 is 352445102112.

211201544253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211201544243) and next prime (211201544263).

It is not a de Polignac number, because 211201544253 - 24 = 211201544237 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211201544253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201544243) 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 23 ways as a sum of consecutive naturals, for example, 461875 + ... + 797327.

It is an arithmetic number, because the mean of its divisors is an integer number (13652306892).

Almost surely, 2211201544253 is an apocalyptic number.

It is an amenable number.

211201544253 is a deficient number, since it is larger than the sum of its proper divisors (116453821155).

211201544253 is a wasteful number, since it uses less digits than its factorization.

211201544253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339753 (or 339746 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 211201544253 its reverse (352445102112), we get a palindrome (563646646365).

The spelling of 211201544253 in words is "two hundred eleven billion, two hundred one million, five hundred forty-four thousand, two hundred fifty-three".

Divisors: 1 3 7 21 49 147 4283 12849 29981 89943 209867 335453 629601 1006359 2348171 7044513 16437197 49311591 1436745199 4310235597 10057216393 30171649179 70400514751 211201544253