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102123210434445 = 32553100694252553
BaseRepresentation
bin10111001110000101101001…
…101011100110011110001101
3111101120212212010022221212200
4113032011221223212132031
5101341141313332400240
61001110431042552113
730340105233102024
oct2716055153463615
9441525763287780
10102123210434445
112a5a3234a41a92
12b5541b4668639
1344ca23ca47715
141b30b0b14b8bb
15bc16d4512930
hex5ce169ae678d

102123210434445 has 48 divisors (see below), whose sum is σ = 180371397501360. Its totient is φ = 53432737532928.

The previous prime is 102123210434431. The next prime is 102123210434447. The reversal of 102123210434445 is 544434012321201.

102123210434445 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 3 + 210 + 434 + 4 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2225864076489 + 99897346357956 = 1491933^2 + 9994866^2 .

It is not a de Polignac number, because 102123210434445 - 213 = 102123210426253 is a prime.

It is a super-2 number, since 2×1021232104344452 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123210434447) 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, 21888289 + ... + 26140841.

It is an arithmetic number, because the mean of its divisors is an integer number (3757737447945).

Almost surely, 2102123210434445 is an apocalyptic number.

102123210434445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102123210434445 is a deficient number, since it is larger than the sum of its proper divisors (78248187066915).

102123210434445 is a wasteful number, since it uses less digits than its factorization.

102123210434445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262686 (or 4262683 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 102123210434445 its reverse (544434012321201), we get a palindrome (646557222755646).

The spelling of 102123210434445 in words is "one hundred two trillion, one hundred twenty-three billion, two hundred ten million, four hundred thirty-four thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 10069 30207 50345 90621 151035 453105 533657 1600971 2668285 4252553 4802913 8004855 12757659 21262765 24014565 38272977 63788295 191364885 225385309 676155927 1126926545 2028467781 3380779635 10142338905 42818956157 128456868471 214094780785 385370605413 642284342355 1926853027065 2269404676321 6808214028963 11347023381605 20424642086889 34041070144815 102123210434445