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10202242344021 = 3272134737863071
BaseRepresentation
bin1001010001110110010100…
…0001111110010001010101
31100010022202210212211001100
42110131211001332101111
52314123143020002041
633410502340220313
72102042035040400
oct224354501762125
940108683784040
1010202242344021
1132838239164a2
12118931a39a699
135900b4bb3780
14273b10d50d37
1512a5b519a6b6
hex9476507e455

10202242344021 has 72 divisors (see below), whose sum is σ = 18853992428544. Its totient is φ = 5266904489280.

The previous prime is 10202242343957. The next prime is 10202242344079. The reversal of 10202242344021 is 12044324220201.

It is a happy number.

10202242344021 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 24 + 234 + 402 + 1 = 666.

It is not a de Polignac number, because 10202242344021 - 26 = 10202242343957 is a prime.

It is a super-2 number, since 2×102022423440212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202242344121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18662085 + ... + 19200986.

It is an arithmetic number, because the mean of its divisors is an integer number (261861005952).

Almost surely, 210202242344021 is an apocalyptic number.

It is an amenable number.

10202242344021 is a deficient number, since it is larger than the sum of its proper divisors (8651750084523).

10202242344021 is a wasteful number, since it uses less digits than its factorization.

10202242344021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37863151 (or 37863141 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10202242344021 its reverse (12044324220201), we get a palindrome (22246566564222).

The spelling of 10202242344021 in words is "ten trillion, two hundred two billion, two hundred forty-two million, three hundred forty-four thousand, twenty-one".

Divisors: 1 3 7 9 13 21 39 47 49 63 91 117 141 147 273 329 423 441 611 637 819 987 1833 1911 2303 2961 4277 5499 5733 6909 12831 20727 29939 38493 89817 269451 37863071 113589213 265041497 340767639 492219923 795124491 1476659769 1779564337 1855290479 2385373473 3445539461 4429979307 5338693011 5565871437 10336618383 12456950359 16016079033 16697614311 23134336381 24118776227 31009855149 37370851077 69403009143 72356328681 87198652513 112112553231 161940354667 208209027429 217068986043 261595957539 485821064001 784787872617 1133582482669 1457463192003 3400747448007 10202242344021