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102133231121301 = 33764313611051417
BaseRepresentation
bin10111001110001110111110…
…111101011111001110010101
3111101121211201111000121000220
4113032032332331133032111
5101341322324131340201
61001115205245024553
730340611451403352
oct2716167675371625
9441554644017026
10102133231121301
112a5a75073a6376
12b556130555159
1344cb178ac8b23
141b313bbd37629
15bc1abe10a036
hex5ce3bef5f395

102133231121301 has 32 divisors (see below), whose sum is σ = 140178681460608. Its totient is φ = 66096888330240.

The previous prime is 102133231121287. The next prime is 102133231121353. The reversal of 102133231121301 is 103121132331201.

It is not a de Polignac number, because 102133231121301 - 214 = 102133231104917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133231125301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96612945 + ... + 97664361.

It is an arithmetic number, because the mean of its divisors is an integer number (4380583795644).

Almost surely, 2102133231121301 is an apocalyptic number.

It is an amenable number.

102133231121301 is a deficient number, since it is larger than the sum of its proper divisors (38045450339307).

102133231121301 is a wasteful number, since it uses less digits than its factorization.

102133231121301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053461.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 102133231121301 its reverse (103121132331201), we get a palindrome (205254363452502).

The spelling of 102133231121301 in words is "one hundred two trillion, one hundred thirty-three billion, two hundred thirty-one million, one hundred twenty-one thousand, three hundred one".

Divisors: 1 3 37 111 643 1361 1929 4083 23791 50357 71373 151071 875123 1051417 2625369 3154251 32379551 38902429 97138653 116707287 676061131 1430978537 2028183393 4292935611 25014261847 52946205869 75042785541 158838617607 920119199291 2760357597873 34044410373767 102133231121301