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211231100214 = 23341213144771
BaseRepresentation
bin1100010010111001011…
…0101100110100110110
3202012020001120200122000
43010232112230310312
511430100130201324
6241012131320130
721155334504261
oct3045626546466
9665201520560
10211231100214
11816454a4002
1234b30a50046
1316bc409c7c4
14a31b94bcd8
1557644629c9
hex312e5acd36

211231100214 has 64 divisors (see below), whose sum is σ = 481087676160. Its totient is φ = 68659272000.

The previous prime is 211231100209. The next prime is 211231100219. The reversal of 211231100214 is 412001132112.

211231100214 is a `hidden beast` number, since 211 + 231 + 10 + 0 + 214 = 666.

It is an interprime number because it is at equal distance from previous prime (211231100209) and next prime (211231100219).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211231100219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4695649 + ... + 4740419.

It is an arithmetic number, because the mean of its divisors is an integer number (7516994940).

Almost surely, 2211231100214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211231100214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240543838080).

211231100214 is an abundant number, since it is smaller than the sum of its proper divisors (269856575946).

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

211231100214 is a wasteful number, since it uses less digits than its factorization.

211231100214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46954 (or 46948 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211231100214 its reverse (412001132112), we get a palindrome (623232232326).

The spelling of 211231100214 in words is "two hundred eleven billion, two hundred thirty-one million, one hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 2131 2214 4262 6393 12786 19179 38358 44771 57537 87371 89542 115074 134313 174742 262113 268626 402939 524226 786339 805878 1208817 1572678 1835611 2359017 2417634 3671222 4718034 5506833 11013666 16520499 33040998 49561497 95407001 99122994 190814002 286221003 572442006 858663009 1717326018 2575989027 3911687041 5151978054 7823374082 11735061123 23470122246 35205183369 70410366738 105615550107 211231100214