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10343222434125 = 3553726949339
BaseRepresentation
bin1001011010000011100000…
…0110010101100101001101
31100121210122221210102200000
42112200320012111211031
52323430404420343000
633555335532554513
72115162460035300
oct226407006254515
940553587712600
1010343222434125
113328599464859
1211b0704322a39
135a0491831529
1427a8867c6b37
1512e0b6e69000
hex9683819594d

10343222434125 has 144 divisors (see below), whose sum is σ = 22492845385920. Its totient is φ = 4728329575200.

The previous prime is 10343222434099. The next prime is 10343222434141. The reversal of 10343222434125 is 52143422234301.

10343222434125 is a `hidden beast` number, since 1 + 0 + 34 + 322 + 243 + 41 + 25 = 666.

It is not a de Polignac number, because 10343222434125 - 25 = 10343222434093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10343222434125.

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, 1986295 + ... + 4963044.

It is an arithmetic number, because the mean of its divisors is an integer number (156200315180).

Almost surely, 210343222434125 is an apocalyptic number.

10343222434125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10343222434125 is an abundant number, since it is smaller than the sum of its proper divisors (12149622951795).

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

10343222434125 is an frugal number, since it uses more digits than its factorization.

10343222434125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949383 (or 6949354 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 10343222434125 its reverse (52143422234301), we get a palindrome (62486644668426).

The spelling of 10343222434125 in words is "ten trillion, three hundred forty-three billion, two hundred twenty-two million, four hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 125 135 147 175 189 225 243 245 315 375 405 441 525 567 675 735 875 945 1125 1215 1225 1323 1575 1701 2025 2205 2625 2835 3375 3675 3969 4725 6075 6125 6615 7875 8505 10125 11025 11907 14175 18375 19845 23625 30375 33075 42525 55125 59535 70875 99225 165375 212625 297675 496125 1488375 6949339 20848017 34746695 48645373 62544051 104240085 145936119 173733475 187632153 243226865 312720255 340517611 437808357 521200425 562896459 729680595 868667375 938160765 1021552833 1216134325 1313425071 1563601275 1688689377 1702588055 2189041785 2606002125 2814482295 3064658499 3648402975 3940275213 4690803825 5107764165 6080671625 6567125355 7818006375 8443446885 8512940275 9193975497 10945208925 11820825639 14072411475 15323292495 18242014875 19701376065 23454019125 25538820825 27581926491 32835626775 42217234425 42564701375 45969877485 54726044625 59104128195 70362057375 76616462475 82745779473 98506880325 127694104125 137909632455 164178133875 211086172125 229849387425 295520640975 383082312375 413728897365 492534401625 689548162275 1149246937125 1477603204875 2068644486825 3447740811375 10343222434125