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1032102203121 = 331147448316493
BaseRepresentation
bin11110000010011100001…
…01011100111011110001
310122200000222101022102000
433001032011130323301
5113402221130444441
62110050300044213
7134365311655653
oct17011605347361
93580028338360
101032102203121
11368791872280
12148040b33669
13764330404c2
1437d4db526d3
151bca9be02b6
hexf04e15cef1

1032102203121 has 64 divisors (see below), whose sum is σ = 1704017571840. Its totient is φ = 612033952320.

The previous prime is 1032102203081. The next prime is 1032102203129. The reversal of 1032102203121 is 1213022012301.

1032102203121 is a `hidden beast` number, since 1 + 0 + 321 + 0 + 220 + 3 + 121 = 666.

It is not a de Polignac number, because 1032102203121 - 26 = 1032102203057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1032102203094 and 1032102203103.

It is not an unprimeable number, because it can be changed into a prime (1032102203129) 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, 62569951 + ... + 62586443.

It is an arithmetic number, because the mean of its divisors is an integer number (26625274560).

Almost surely, 21032102203121 is an apocalyptic number.

1032102203121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1032102203121 is a deficient number, since it is larger than the sum of its proper divisors (671915368719).

1032102203121 is a wasteful number, since it uses less digits than its factorization.

1032102203121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21043 (or 21037 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1032102203121 its reverse (1213022012301), we get a palindrome (2245124215422).

The spelling of 1032102203121 in words is "one trillion, thirty-two billion, one hundred two million, two hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 47 99 141 297 423 517 1269 1551 4483 4653 13449 13959 16493 40347 49313 49479 121041 147939 148437 181423 210701 443817 445311 544269 632103 775171 1331451 1632807 1896309 2317711 2325513 4898421 5688927 6953133 6976539 8526881 20859399 20929617 25580643 62578197 73938119 76741929 221814357 230225787 665443071 813319309 1996329213 2439957927 3475091593 7319873781 10425274779 21959621343 31275824337 38226007523 93827473011 114678022569 344034067707 1032102203121