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400040103032101 = 7260113584165949
BaseRepresentation
bin101101011110101011001100…
…0001111001011010100100101
31221110102110102121012020010001
41122331112120033023110211
5404413224112334011401
63534451515234101301
7150155641452034300
oct13275263017132445
91843373377166101
10400040103032101
11106513067157234
1238a4a55111a831
131422a809a65c4c
1470b0089795b37
15313ae63bb8601
hex16bd5983cb525

400040103032101 has 12 divisors (see below), whose sum is σ = 466127070408300. Its totient is φ = 342320981889600.

The previous prime is 400040103032051. The next prime is 400040103032123. The reversal of 400040103032101 is 101230301040004.

It can be written as a sum of positive squares in 2 ways, for example, as 157005285530625 + 243034817501476 = 12530175^2 + 15589574^2 .

It is not a de Polignac number, because 400040103032101 - 231 = 400037955548453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400040103632101) 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, 6792053526 + ... + 6792112423.

It is an arithmetic number, because the mean of its divisors is an integer number (38843922534025).

Almost surely, 2400040103032101 is an apocalyptic number.

It is an amenable number.

400040103032101 is a deficient number, since it is larger than the sum of its proper divisors (66086967376199).

400040103032101 is a wasteful number, since it uses less digits than its factorization.

400040103032101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13584166564 (or 13584166557 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 400040103032101 its reverse (101230301040004), we get a palindrome (501270404072105).

The spelling of 400040103032101 in words is "four hundred trillion, forty billion, one hundred three million, thirty-two thousand, one hundred one".

Divisors: 1 7 49 601 4207 29449 13584165949 95089161643 665624131501 8164083735349 57148586147443 400040103032101