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31401436121 = 112259516001
BaseRepresentation
bin11101001111101010…
…111110001111011001
310000001102100020022122
4131033222332033121
51003302231423441
622231533431025
72161104542306
oct351752761731
9100042306278
1031401436121
1112354323800
12610433b475
132c65827443
14173c6120ad
15c3bba434b
hex74fabe3d9

31401436121 has 6 divisors (see below), whose sum is σ = 34515628266. Its totient is φ = 28546760000.

The previous prime is 31401436109. The next prime is 31401436133. The reversal of 31401436121 is 12163410413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31401436109) and next prime (31401436133).

It can be written as a sum of positive squares in only one way, i.e., 31189326025 + 212110096 = 176605^2 + 14564^2 .

It is a de Polignac number, because none of the positive numbers 2k-31401436121 is a prime.

It is a super-2 number, since 2×314014361212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31401436421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129757880 + ... + 129758121.

It is an arithmetic number, because the mean of its divisors is an integer number (5752604711).

Almost surely, 231401436121 is an apocalyptic number.

It is an amenable number.

31401436121 is a deficient number, since it is larger than the sum of its proper divisors (3114192145).

31401436121 is a wasteful number, since it uses less digits than its factorization.

31401436121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259516023 (or 259516012 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 31401436121 its reverse (12163410413), we get a palindrome (43564846534).

The spelling of 31401436121 in words is "thirty-one billion, four hundred one million, four hundred thirty-six thousand, one hundred twenty-one".

Divisors: 1 11 121 259516001 2854676011 31401436121