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431020424110221 = 321141230369460951
BaseRepresentation
bin110001000000000101100001…
…1010001010010000010001101
32002112010011001102221121012200
41202000023003101102002031
5422443314312033011341
64124412014352152113
7156534124626214461
oct14200130321220215
92075104042847180
10431020424110221
1111537780a804980
124041278bb38639
1315667089463c4a
1478616dd7a24a1
1534c6c6c761db6
hex18802c345208d

431020424110221 has 48 divisors (see below), whose sum is σ = 695753684196480. Its totient is φ = 254851511040000.

The previous prime is 431020424110217. The next prime is 431020424110247. The reversal of 431020424110221 is 122011424020134.

431020424110221 is a `hidden beast` number, since 4 + 3 + 1 + 0 + 2 + 0 + 424 + 1 + 10 + 221 = 666.

It is not a de Polignac number, because 431020424110221 - 22 = 431020424110217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431020424110261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 934837296 + ... + 935298246.

It is an arithmetic number, because the mean of its divisors is an integer number (14494868420760).

Almost surely, 2431020424110221 is an apocalyptic number.

431020424110221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

431020424110221 is a deficient number, since it is larger than the sum of its proper divisors (264733260086259).

431020424110221 is a wasteful number, since it uses less digits than its factorization.

431020424110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691378 (or 691375 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 431020424110221 its reverse (122011424020134), we get a palindrome (553031848130355).

The spelling of 431020424110221 in words is "four hundred thirty-one trillion, twenty billion, four hundred twenty-four million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 230369 460951 691107 1382853 2073321 2534059 4148559 5070461 7602177 9445129 15211383 18898991 22806531 28335387 45634149 56696973 85006161 103896419 170090919 207888901 311689257 623666703 935067771 1871000109 106188820919 318566462757 955699388271 1168077030109 3504231090327 4353741657679 10512693270981 13061224973037 39183674919111 47891158234469 143673474703407 431020424110221