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211362334031 = 2343853250543
BaseRepresentation
bin1100010011011000101…
…1010100010101001111
3202012120012112001120202
43010312023110111033
511430332224142111
6241033140204115
721161520124202
oct3046613242517
9665505461522
10211362334031
1181702588a02
1234b6899963b
1316c1532aa54
14a33114d939
155770c36b3b
hex31362d454f

211362334031 has 16 divisors (see below), whose sum is σ = 225946592256. Its totient is φ = 197238688416.

The previous prime is 211362334021. The next prime is 211362334033. The reversal of 211362334031 is 130433263112.

211362334031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211362334031 is a prime.

It is a super-2 number, since 2×2113623340312 (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 = 211362333985 and 211362334003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211362334033) 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, 718346 + ... + 968888.

It is an arithmetic number, because the mean of its divisors is an integer number (14121662016).

Almost surely, 2211362334031 is an apocalyptic number.

211362334031 is a deficient number, since it is larger than the sum of its proper divisors (14584258225).

211362334031 is a wasteful number, since it uses less digits than its factorization.

211362334031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251462.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 211362334031 its reverse (130433263112), we get a palindrome (341795597143).

The spelling of 211362334031 in words is "two hundred eleven billion, three hundred sixty-two million, three hundred thirty-four thousand, thirty-one".

Divisors: 1 23 43 853 989 19619 36679 250543 843617 5762489 10773349 213713179 247787027 4915403117 9189666697 211362334031