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211321112331 = 3779199363913
BaseRepresentation
bin1100010011001110111…
…0000100011100001011
3202012110022221210001010
43010303232010130023
511430241201043311
6241025104455003
721160506550260
oct3046356043413
9665408853033
10211321112331
118169129348a
1234b5701a463
1316c09927104
14a32989d267
15576c2e2da6
hex3133b8470b

211321112331 has 32 divisors (see below), whose sum is σ = 326257960960. Its totient is φ = 119164690944.

The previous prime is 211321112291. The next prime is 211321112381. The reversal of 211321112331 is 133211123112.

It is not a de Polignac number, because 211321112331 - 222 = 211316918027 is a prime.

It is a super-2 number, since 2×2113211123312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211321112298 and 211321112307.

It is not an unprimeable number, because it can be changed into a prime (211321112381) 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, 3274431 + ... + 3338343.

It is an arithmetic number, because the mean of its divisors is an integer number (10195561280).

Almost surely, 2211321112331 is an apocalyptic number.

211321112331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211321112331 is a deficient number, since it is larger than the sum of its proper divisors (114936848629).

211321112331 is a wasteful number, since it uses less digits than its factorization.

211321112331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65995.

The product of its digits is 216, while the sum is 21.

Adding to 211321112331 its reverse (133211123112), we get a palindrome (344532235443).

The spelling of 211321112331 in words is "two hundred eleven billion, three hundred twenty-one million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 7 21 79 237 553 1659 1993 5979 13951 41853 63913 157447 191739 447391 472341 1102129 1342173 3306387 5049127 15147381 35343889 106031667 127378609 382135827 891650263 2674950789 10062910111 30188730333 70440370777 211321112331