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3401131122 = 232373506573
BaseRepresentation
bin1100101010111001…
…0010010001110010
322210000211100210100
43022232102101302
523431142143442
61321254013230
7150166065114
oct31256222162
98700740710
103401131122
111495939174
127ab047216
1342283092c
142439c33b4
1514d8cc84c
hexcab92472

3401131122 has 24 divisors (see below), whose sum is σ = 7388888364. Its totient is φ = 1130668704.

The previous prime is 3401131109. The next prime is 3401131127. The reversal of 3401131122 is 2211311043.

3401131122 is a `hidden beast` number, since 340 + 11 + 311 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3105944361 + 295186761 = 55731^2 + 17181^2 .

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 = 3401131095 and 3401131104.

It is not an unprimeable number, because it can be changed into a prime (3401131127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246573 + ... + 260000.

Almost surely, 23401131122 is an apocalyptic number.

3401131122 is an abundant number, since it is smaller than the sum of its proper divisors (3987757242).

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

3401131122 is a wasteful number, since it uses less digits than its factorization.

3401131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506954 (or 506951 counting only the distinct ones).

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

The square root of 3401131122 is about 58319.2174330212. The cubic root of 3401131122 is about 1503.8613288969.

Adding to 3401131122 its reverse (2211311043), we get a palindrome (5612442165).

The spelling of 3401131122 in words is "three billion, four hundred one million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 373 746 1119 2238 3357 6714 506573 1013146 1519719 3039438 4559157 9118314 188951729 377903458 566855187 1133710374 1700565561 3401131122