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211142040031 = 131923167222553
BaseRepresentation
bin1100010010100100001…
…0111101100111011111
3202011222211222222000201
43010221002331213133
511424404330240111
6240555230404331
721153203504506
oct3045102754737
9664884888021
10211142040031
11815aa1a484a
1234b070606a7
1316bab7b9580
14a30dba783d
15575b71e6c1
hex31290bd9df

211142040031 has 32 divisors (see below), whose sum is σ = 251254563840. Its totient is φ = 175556139264.

The previous prime is 211142040023. The next prime is 211142040061. The reversal of 211142040031 is 130040241112.

It is a cyclic number.

It is not a de Polignac number, because 211142040031 - 23 = 211142040023 is a prime.

It is a super-2 number, since 2×2111420400312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211142039990 and 211142040008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211142040061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837451 + ... + 1060003.

It is an arithmetic number, because the mean of its divisors is an integer number (7851705120).

Almost surely, 2211142040031 is an apocalyptic number.

211142040031 is a deficient number, since it is larger than the sum of its proper divisors (40112523809).

211142040031 is a wasteful number, since it uses less digits than its factorization.

211142040031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222775.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 211142040031 its reverse (130040241112), we get a palindrome (341182281143).

The spelling of 211142040031 in words is "two hundred eleven billion, one hundred forty-two million, forty thousand, thirty-one".

Divisors: 1 13 19 23 167 247 299 437 2171 3173 3841 5681 41249 49933 72979 222553 948727 2893189 4228507 5118719 37166351 54970591 66543347 97255661 483162563 706160669 854826073 1264323593 9180088697 11112738949 16241695387 211142040031