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102433024320441 = 319293115073132619
BaseRepresentation
bin10111010010100110001100…
…000001110010001110111001
3111102200111112120211001022220
4113102212030001302032321
5101411230313211223231
61001505025353434253
730401353555505043
oct2722461401621671
9442614476731286
10102433024320441
112a702668895071
12b5a425870b989
134520514b2ba59
141b41adb806a93
15bc97b8569896
hex5d298c0723b9

102433024320441 has 64 divisors (see below), whose sum is σ = 153531945984000. Its totient is φ = 60444271319040.

The previous prime is 102433024320439. The next prime is 102433024320469. The reversal of 102433024320441 is 144023420334201.

It is not a de Polignac number, because 102433024320441 - 21 = 102433024320439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102433024320491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 772319430 + ... + 772452048.

It is an arithmetic number, because the mean of its divisors is an integer number (2398936656000).

Almost surely, 2102433024320441 is an apocalyptic number.

It is an amenable number.

102433024320441 is a deficient number, since it is larger than the sum of its proper divisors (51098921663559).

102433024320441 is a wasteful number, since it uses less digits than its factorization.

102433024320441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147774.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 102433024320441 its reverse (144023420334201), we get a palindrome (246456444654642).

The spelling of 102433024320441 in words is "one hundred two trillion, four hundred thirty-three billion, twenty-four million, three hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 19 29 31 57 87 93 551 589 899 1653 1767 2697 15073 17081 45219 51243 132619 286387 397857 437117 467263 859161 1311351 1401789 2519761 3845951 4111189 7559283 8305223 8877997 11537853 12333567 13550627 24915669 26633991 40651881 73073069 78112591 119224481 219219207 234337773 257461913 357673443 772385739 1998966187 2265265139 5996898561 6795795417 37980357553 57970019423 61967951797 113941072659 173910058269 185903855391 1101430369037 1177391084143 1797070602113 3304291107111 3532173252429 5391211806339 34144341440147 102433024320441