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214242131112 = 233411371589239
BaseRepresentation
bin1100011110000111010…
…0110111110010101000
3202110222220100220111220
43013201310313302220
512002231441143422
6242231012222040
721323056032102
oct3074164676250
9673886326456
10214242131112
1182950109099
123563130a920
1317283b46ba9
14a5257c6572
15588d984e5c
hex31e1d37ca8

214242131112 has 64 divisors (see below), whose sum is σ = 552674102400. Its totient is φ = 69163637760.

The previous prime is 214242131107. The next prime is 214242131113. The reversal of 214242131112 is 211131242412.

It is a super-2 number, since 2×2142421311122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214242131113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659812 + ... + 929427.

It is an arithmetic number, because the mean of its divisors is an integer number (8635532850).

Almost surely, 2214242131112 is an apocalyptic number.

It is an amenable number.

214242131112 is an abundant number, since it is smaller than the sum of its proper divisors (338431971288).

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

214242131112 is a wasteful number, since it uses less digits than its factorization.

214242131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589426 (or 1589422 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 214242131112 its reverse (211131242412), we get a palindrome (425373373524).

The spelling of 214242131112 in words is "two hundred fourteen billion, two hundred forty-two million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 137 164 246 274 328 411 492 548 822 984 1096 1644 3288 5617 11234 16851 22468 33702 44936 67404 134808 1589239 3178478 4767717 6356956 9535434 12713912 19070868 38141736 65158799 130317598 195476397 217725743 260635196 390952794 435451486 521270392 653177229 781905588 870902972 1306354458 1563811176 1741805944 2612708916 5225417832 8926755463 17853510926 26780266389 35707021852 53560532778 71414043704 107121065556 214242131112