Search a number
-
+
212012012120202 = 232710976541201683
BaseRepresentation
bin110000001101001011100100…
…101010111010100010001010
31000210200011001122122002111200
4300031023210222322202022
5210242101100100321302
62030524550201005030
762441235205553610
oct6015134452724212
91023604048562450
10212012012120202
116160a875777918
121b941421a83776
13913b854497ba8
143a4d616a976b0
151979dbb82681c
hexc0d2e4aba88a

212012012120202 has 96 divisors (see below), whose sum is σ = 529808023704960. Its totient is φ = 60018046208640.

The previous prime is 212012012120201. The next prime is 212012012120203. The reversal of 212012012120202 is 202021210210212.

It is a happy number.

212012012120202 is a `hidden beast` number, since 21 + 201 + 201 + 21 + 20 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (212012012120201) and next prime (212012012120203).

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

It is not an unprimeable number, because it can be changed into a prime (212012012120201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1051113253 + ... + 1051314935.

It is an arithmetic number, because the mean of its divisors is an integer number (5518833580260).

Almost surely, 2212012012120202 is an apocalyptic number.

212012012120202 is an abundant number, since it is smaller than the sum of its proper divisors (317796011584758).

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

212012012120202 is a wasteful number, since it uses less digits than its factorization.

212012012120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278348 (or 278345 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212012012120202 its reverse (202021210210212), we get a palindrome (414033222330414).

The spelling of 212012012120202 in words is "two hundred twelve trillion, twelve billion, twelve million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 327 654 763 981 1526 1962 2289 4578 6867 13734 76541 153082 201683 229623 403366 459246 535787 605049 688869 1071574 1210098 1377738 1411781 1607361 1815147 2823562 3214722 3630294 4235343 4822083 8342969 8470686 9644166 12706029 16685938 21983447 25028907 25412058 43966894 50057814 58400783 65950341 75086721 116801566 131900682 150173442 153884129 175202349 197851023 307768258 350404698 395702046 461652387 525607047 923304774 1051214094 1384957161 2769914322 15437018503 30874037006 46311055509 92622111018 108059129521 138933166527 216118259042 277866333054 324177388563 648354777126 972532165689 1682635016827 1945064331378 3365270033654 5047905050481 10095810100962 11778445117789 15143715151443 23556890235578 30287430302886 35335335353367 70670670706734 106006006060101 212012012120202