Search a number
-
+
210132233031 = 374434491511
BaseRepresentation
bin1100001110110011011…
…0110110101101000111
3202002101110212110020110
43003230312312231013
511420322322424111
6240311115004103
721116162340000
oct3035466665507
9662343773213
10210132233031
1181131192906
1234884a39633
1316a7a527636
14a255a261a7
1556ecc525a6
hex30ecdb6b47

210132233031 has 80 divisors (see below), whose sum is σ = 335420870400. Its totient is φ = 116944450560.

The previous prime is 210132233029. The next prime is 210132233039. The reversal of 210132233031 is 130332231012.

It is not a de Polignac number, because 210132233031 - 21 = 210132233029 is a prime.

It is a super-2 number, since 2×2101322330312 (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 junction number, because it is equal to n+sod(n) for n = 210132232989 and 210132233007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210132233039) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139067566 + ... + 139069076.

It is an arithmetic number, because the mean of its divisors is an integer number (4192760880).

Almost surely, 2210132233031 is an apocalyptic number.

210132233031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

210132233031 is a deficient number, since it is larger than the sum of its proper divisors (125288637369).

210132233031 is an equidigital number, since it uses as much as digits as its factorization.

210132233031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 210132233031 its reverse (130332231012), we get a palindrome (340464464043).

The spelling of 210132233031 in words is "two hundred ten billion, one hundred thirty-two million, two hundred thirty-three thousand, thirty-one".

Divisors: 1 3 7 21 43 49 129 147 301 343 449 903 1029 1347 1511 2107 2401 3143 4533 6321 7203 9429 10577 14749 19307 22001 31731 44247 57921 64973 66003 74039 103243 135149 154007 194919 222117 309729 405447 454811 462021 518273 678439 946043 1078049 1364433 1554819 2035317 2838129 3183677 3234147 3627911 4749073 6622301 9551031 10883733 14247219 19866903 22285739 29172877 33243511 46356107 66857217 87518631 99730533 139068321 156000173 204210139 232704577 468000519 612630417 698113731 1429470973 1628932039 4288412919 4886796117 10006296811 30018890433 70044077677 210132233031