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212001331122 = 23272376496333
BaseRepresentation
bin1100010101110001000…
…0111001011110110010
3202021012201220110210200
43011130100321132302
511433134320043442
6241220404140030
721213406403400
oct3053420713662
9667181813720
10212001331122
1181a00251979
1235106997616
1316cb782b839
14a391d68470
1557abda934c
hex315c4397b2

212001331122 has 72 divisors (see below), whose sum is σ = 548771318316. Its totient is φ = 58934723904.

The previous prime is 212001331121. The next prime is 212001331123. The reversal of 212001331122 is 221133100212.

212001331122 is a `hidden beast` number, since 212 + 0 + 0 + 1 + 331 + 122 = 666.

212001331122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212001331121) and next prime (212001331123).

It can be written as a sum of positive squares in 2 ways, for example, as 204402547881 + 7598783241 = 452109^2 + 87171^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 212001331095 and 212001331104.

It is not an unprimeable number, because it can be changed into a prime (212001331121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3215533 + ... + 3280800.

Almost surely, 2212001331122 is an apocalyptic number.

212001331122 is an abundant number, since it is smaller than the sum of its proper divisors (336769987194).

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

212001331122 is a wasteful number, since it uses less digits than its factorization.

212001331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496392 (or 6496382 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212001331122 its reverse (221133100212), we get a palindrome (433134431334).

The spelling of 212001331122 in words is "two hundred twelve billion, one million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 441 518 666 777 882 1554 1813 2331 3626 4662 5439 10878 16317 32634 6496333 12992666 19488999 38977998 45474331 58466997 90948662 116933994 136422993 240364321 272845986 318320317 409268979 480728642 636640634 721092963 818537958 954960951 1442185926 1682550247 1909921902 2163278889 2864882853 3365100494 4326557778 5047650741 5729765706 10095301482 11777851729 15142952223 23555703458 30285904446 35333555187 70667110374 106000665561 212001331122