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211433364142 = 271113737918313
BaseRepresentation
bin1100010011101001101…
…0010001101010101110
3202012202011011202120121
43010322122101222232
511431003420123032
6241044154435154
721163341641110
oct3047232215256
9665664152517
10211433364142
1181739692980
1234b88732aba
1316c26c6a3c0
14a33a75d3b0
1557770b7a97
hex313a691aae

211433364142 has 128 divisors (see below), whose sum is σ = 437144924160. Its totient is φ = 74044938240.

The previous prime is 211433364041. The next prime is 211433364173. The reversal of 211433364142 is 241463334112.

211433364142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211433364098 and 211433364107.

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 63 ways as a sum of consecutive naturals, for example, 11536378 + ... + 11554690.

It is an arithmetic number, because the mean of its divisors is an integer number (3415194720).

Almost surely, 2211433364142 is an apocalyptic number.

211433364142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211433364142 is an abundant number, since it is smaller than the sum of its proper divisors (225711560018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211433364142 is a wasteful number, since it uses less digits than its factorization.

211433364142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18498.

The product of its digits is 41472, while the sum is 34.

Adding to 211433364142 its reverse (241463334112), we get a palindrome (452896698254).

It can be divided in two parts, 211433 and 364142, that added together give a palindrome (575575).

The spelling of 211433364142 in words is "two hundred eleven billion, four hundred thirty-three million, three hundred sixty-four thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 73 77 79 91 143 146 154 158 182 286 511 553 803 869 949 1001 1022 1027 1106 1606 1738 1898 2002 2054 5621 5767 6083 6643 7189 10439 11242 11297 11534 12166 13286 14378 18313 20878 22594 36626 40369 63437 73073 74971 79079 80738 126874 128191 146146 149942 158158 201443 238069 256382 402886 444059 476138 524797 824681 888118 1049594 1336849 1410101 1446727 1649362 1666483 2618759 2673698 2820202 2893454 3332966 5237518 5772767 9357943 10127089 11545534 14705339 15913997 17379037 18331313 18715886 18807451 20254178 29410678 31827994 34758074 36662626 37614902 102937373 105611071 111397979 121653259 131652157 191169407 205874746 206881961 211222142 222795958 243306518 263304314 382338814 413763922 739277497 1161721781 1338185849 1372943923 1448173727 1478554994 2323443562 2676371698 2745887846 2896347454 8132052467 9610607461 15102383153 16264104934 19221214922 30204766306 105716682071 211433364142