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211414122031 = 72291471101141
BaseRepresentation
bin1100010011100101000…
…0110111111000101111
3202012200210222011100211
43010321100313320233
511430434003401111
6241042230203251
721163016246500
oct3047120677057
9665623864324
10211414122031
1181729840002
1234b821b3527
1316c22c90c38
14a337d90ba7
155775566521
hex3139437e2f

211414122031 has 24 divisors (see below), whose sum is σ = 254586551040. Its totient is φ = 174842740800.

The previous prime is 211414122013. The next prime is 211414122071. The reversal of 211414122031 is 130221414112.

It is not a de Polignac number, because 211414122031 - 27 = 211414121903 is a prime.

It is a super-2 number, since 2×2114141220312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211414121993 and 211414122011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211414122071) 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, 2039721 + ... + 2140861.

It is an arithmetic number, because the mean of its divisors is an integer number (10607772960).

Almost surely, 2211414122031 is an apocalyptic number.

211414122031 is a deficient number, since it is larger than the sum of its proper divisors (43172429009).

211414122031 is a wasteful number, since it uses less digits than its factorization.

211414122031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102655 (or 102648 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 211414122031 its reverse (130221414112), we get a palindrome (341635536143).

The spelling of 211414122031 in words is "two hundred eleven billion, four hundred fourteen million, one hundred twenty-two thousand, thirty-one".

Divisors: 1 7 29 49 203 1421 1471 10297 42659 72079 101141 298613 707987 2090291 2933089 4955909 20531623 143721361 148778411 1041448877 4314573919 7290142139 30202017433 211414122031