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40121104311401 is a prime number
BaseRepresentation
bin10010001111101011011000…
…01010111010010001101001
312021001112120202001110021012
421013311230022322101221
520224321010200431101
6221155214133553305
711310440236516631
oct1107655412722151
9167045522043235
1040121104311401
11118692a0479743
1245bb8a47a5835
1319505334b2019
149c9c2c3636c1
15498996b0abbb
hex247d6c2ba469

40121104311401 has 2 divisors, whose sum is σ = 40121104311402. Its totient is φ = 40121104311400.

The previous prime is 40121104311373. The next prime is 40121104311419. The reversal of 40121104311401 is 10411340112104.

40121104311401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32883928271401 + 7237176040000 = 5734451^2 + 2690200^2 .

It is a cyclic number.

It is not a de Polignac number, because 40121104311401 - 222 = 40121100117097 is a prime.

It is a super-2 number, since 2×401211043114012 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40121104301401) 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 as a sum of consecutive naturals, namely, 20060552155700 + 20060552155701.

It is an arithmetic number, because the mean of its divisors is an integer number (20060552155701).

Almost surely, 240121104311401 is an apocalyptic number.

It is an amenable number.

40121104311401 is a deficient number, since it is larger than the sum of its proper divisors (1).

40121104311401 is an equidigital number, since it uses as much as digits as its factorization.

40121104311401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 40121104311401 its reverse (10411340112104), we get a palindrome (50532444423505).

The spelling of 40121104311401 in words is "forty trillion, one hundred twenty-one billion, one hundred four million, three hundred eleven thousand, four hundred one".