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211420214300 = 225219241461717
BaseRepresentation
bin1100010011100110100…
…0000111010000011100
3202012201020102200101102
43010321220013100130
511430442033324200
6241043004532232
721163122112301
oct3047150072034
9665636380342
10211420214300
1181732221239
1234b84251078
1316c24314c29
14a338ad90a8
155775d6b6d5
hex3139a0741c

211420214300 has 72 divisors (see below), whose sum is σ = 484933181040. Its totient is φ = 79784524800.

The previous prime is 211420214297. The next prime is 211420214309. The reversal of 211420214300 is 3412024112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211420214309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227042 + ... + 688758.

It is an arithmetic number, because the mean of its divisors is an integer number (6735183070).

Almost surely, 2211420214300 is an apocalyptic number.

211420214300 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 211420214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242466590520).

211420214300 is an abundant number, since it is smaller than the sum of its proper divisors (273512966740).

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

211420214300 is a wasteful number, since it uses less digits than its factorization.

211420214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461991 (or 461984 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211420214300 its reverse (3412024112), we get a palindrome (214832238412).

The spelling of 211420214300 in words is "two hundred eleven billion, four hundred twenty million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 241 380 475 482 950 964 1205 1900 2410 4579 4820 6025 9158 12050 18316 22895 24100 45790 91580 114475 228950 457900 461717 923434 1846868 2308585 4617170 8772623 9234340 11542925 17545246 23085850 35090492 43863115 46171700 87726230 111273797 175452460 219315575 222547594 438631150 445095188 556368985 877262300 1112737970 2114202143 2225475940 2781844925 4228404286 5563689850 8456808572 10571010715 11127379700 21142021430 42284042860 52855053575 105710107150 211420214300