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211302451325 = 52722941239607
BaseRepresentation
bin1100010011001010011…
…0111000100001111101
3202012102000211200221202
43010302212320201331
511430221411420300
6241023200505245
721160162126100
oct3046246704175
9665360750852
10211302451325
11816817a8169
1234b5091b225
1316c05ac22b4
14a327202737
15576a858ad5
hex31329b887d

211302451325 has 144 divisors (see below), whose sum is σ = 324879206400. Its totient is φ = 135689702400.

The previous prime is 211302451313. The next prime is 211302451351. The reversal of 211302451325 is 523154203112.

211302451325 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 211302451325 - 24 = 211302451309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 348109172 + ... + 348109778.

It is an arithmetic number, because the mean of its divisors is an integer number (2256105600).

Almost surely, 2211302451325 is an apocalyptic number.

211302451325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211302451325 is a deficient number, since it is larger than the sum of its proper divisors (113576755075).

211302451325 is a wasteful number, since it uses less digits than its factorization.

211302451325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 211302451325 its reverse (523154203112), we get a palindrome (734456654437).

The spelling of 211302451325 in words is "two hundred eleven billion, three hundred two million, four hundred fifty-one thousand, three hundred twenty-five".

Divisors: 1 5 7 25 29 35 41 49 145 175 203 205 239 245 287 607 725 1015 1025 1189 1195 1225 1421 1435 1673 2009 3035 4249 5075 5945 5975 6931 7105 7175 8323 8365 9799 10045 11711 15175 17603 21245 24887 29725 29743 34655 35525 41615 41825 48517 48995 50225 58261 58555 68593 88015 106225 123221 124435 145073 148715 173275 174209 208075 242585 244975 284171 291305 292775 339619 342965 440075 480151 616105 622175 721723 725365 743575 862547 871045 1015511 1212925 1219463 1420855 1456525 1698095 1714825 1989197 2400755 3080525 3608615 3626825 4207117 4312735 4355225 5052061 5077555 5947993 6097315 7104275 7108577 8490475 9945985 12003775 13924379 18043075 21035585 21563675 25260305 25387775 29449819 29739965 30486575 35364427 35542885 41635951 49729925 69621895 105177925 126301525 147249095 148699825 172491797 176822135 177714425 206148733 208179755 291451657 348109475 736245475 862458985 884110675 1030743665 1040898775 1207442579 1457258285 4312294925 5153718325 6037212895 7286291425 8452098053 30186064475 42260490265 211302451325