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401211342131 = 23241131141209
BaseRepresentation
bin1011101011010100000…
…11110011110100110011
31102100121002220221000012
411311222003303310303
523033140100422011
6504151451245135
740662251065505
oct5655203636463
91370532827005
10401211342131
111451753856a6
1265910a497ab
132baac5a4232
14155c1005d75
15a682e24a8b
hex5d6a0f3d33

401211342131 has 24 divisors (see below), whose sum is σ = 432926136720. Its totient is φ = 371546489600.

The previous prime is 401211342121. The next prime is 401211342157. The reversal of 401211342131 is 131243112104.

It is not a de Polignac number, because 401211342131 - 218 = 401211079987 is a prime.

It is a super-2 number, since 2×4012113421312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 401211342097 and 401211342106.

It is not an unprimeable number, because it can be changed into a prime (401211342121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2770655 + ... + 2911863.

It is an arithmetic number, because the mean of its divisors is an integer number (18038589030).

Almost surely, 2401211342131 is an apocalyptic number.

401211342131 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

401211342131 is a deficient number, since it is larger than the sum of its proper divisors (31714794589).

401211342131 is a wasteful number, since it uses less digits than its factorization.

401211342131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141427 (or 141404 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 401211342131 its reverse (131243112104), we get a palindrome (532454454235).

The spelling of 401211342131 in words is "four hundred one billion, two hundred eleven million, three hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 23 41 131 529 943 3013 5371 21689 69299 123533 141209 2841259 3247807 5789569 18498379 74699561 133160087 425462717 758433539 3062682001 9785642491 17443971397 401211342131