Search a number
-
+
211321143200 = 2552264151429
BaseRepresentation
bin1100010011001110111…
…0001011111110100000
3202012110100000100101102
43010303232023332200
511430241203040300
6241025105253532
721160510036256
oct3046356137640
9665410010342
10211321143200
11816913046a2
1234b570342a8
1316c0993818b
14a3298aa5d6
15576c2ec0d5
hex3133b8bfa0

211321143200 has 36 divisors (see below), whose sum is σ = 515887742790. Its totient is φ = 84528456960.

The previous prime is 211321143191. The next prime is 211321143221. The reversal of 211321143200 is 2341123112.

It can be written as a sum of positive squares in 3 ways, for example, as 187825158544 + 23495984656 = 433388^2 + 153284^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132074915 + ... + 132076514.

Almost surely, 2211321143200 is an apocalyptic number.

211321143200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211321143200 is an abundant number, since it is smaller than the sum of its proper divisors (304566599590).

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

211321143200 is a wasteful number, since it uses less digits than its factorization.

211321143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264151449 (or 264151436 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211321143200 its reverse (2341123112), we get a palindrome (213662266312).

The spelling of 211321143200 in words is "two hundred eleven billion, three hundred twenty-one million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 264151429 528302858 1056605716 1320757145 2113211432 2641514290 4226422864 5283028580 6603785725 8452845728 10566057160 13207571450 21132114320 26415142900 42264228640 52830285800 105660571600 211321143200