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220431034000135 = 57210511361628993
BaseRepresentation
bin110010000111101100011001…
…011110101010001100000111
31001220111000000202121111010101
4302013230121132222030013
5212343020224201001020
62100452341414104531
764300421341026100
oct6207543136521407
91056430022544111
10220431034000135
1164266305082382
122088101734b147
1395cc732558b2a
143c60cc192b3a7
151a73db50e300a
hexc87b197aa307

220431034000135 has 48 divisors (see below), whose sum is σ = 308223293077152. Its totient is φ = 150897696768000.

The previous prime is 220431034000117. The next prime is 220431034000211. The reversal of 220431034000135 is 531000430134022.

It is a happy number.

220431034000135 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220431034000135 - 217 = 220431033869063 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350136199 + ... + 350765191.

It is an arithmetic number, because the mean of its divisors is an integer number (6421318605774).

Almost surely, 2220431034000135 is an apocalyptic number.

220431034000135 is a deficient number, since it is larger than the sum of its proper divisors (87792259077017).

220431034000135 is a wasteful number, since it uses less digits than its factorization.

220431034000135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631424 (or 631417 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 220431034000135 its reverse (531000430134022), we get a palindrome (751431464134157).

The spelling of 220431034000135 in words is "two hundred twenty trillion, four hundred thirty-one billion, thirty-four million, one hundred thirty-five", and thus it is an aban number.

Divisors: 1 5 7 35 49 245 1051 1361 5255 6805 7357 9527 36785 47635 51499 66689 257495 333445 628993 1430411 3144965 4402951 7152055 10012877 22014755 30820657 50064385 70090139 154103285 350450695 661071643 856059473 3305358215 4280297365 4627501501 5992416311 23137507505 29962081555 32392510507 41946914177 161962552535 209734570885 899718506123 4498592530615 6298029542861 31490147714305 44086206800027 220431034000135