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214023242031 = 3181929424273
BaseRepresentation
bin1100011101010011000…
…1111000000100101111
3202110102122111012010220
43013110301320010233
512001304422221111
6242153152502423
721314460353364
oct3072461700457
9673378435126
10214023242031
11828485a4525
123558bb4aa13
131724a6a8021
14a5046c846b
155879648e06
hex31d4c7812f

214023242031 has 16 divisors (see below), whose sum is σ = 287250468960. Its totient is φ = 141740789760.

The previous prime is 214023241969. The next prime is 214023242053. The reversal of 214023242031 is 130242320412.

It is a happy number.

214023242031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214023242031 - 26 = 214023241967 is a prime.

It is a super-2 number, since 2×2140232420312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214023241992 and 214023242010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214023242431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292311 + ... + 716583.

It is an arithmetic number, because the mean of its divisors is an integer number (17953154310).

Almost surely, 2214023242031 is an apocalyptic number.

214023242031 is a deficient number, since it is larger than the sum of its proper divisors (73227226929).

214023242031 is a wasteful number, since it uses less digits than its factorization.

214023242031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425386.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214023242031 its reverse (130242320412), we get a palindrome (344265562443).

The spelling of 214023242031 in words is "two hundred fourteen billion, twenty-three million, two hundred forty-two thousand, thirty-one".

Divisors: 1 3 181 543 929 2787 168149 424273 504447 1272819 76793413 230380239 394149617 1182448851 71341080677 214023242031