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102222001233001 = 1313638375765521
BaseRepresentation
bin10111001111100001101010…
…000100100101110001101001
3111101221022212000122111120201
4113033201222010211301221
5101344301124303424001
61001224050012352201
730350203325036626
oct2717415204456151
9441838760574521
10102222001233001
112a63111a857151
12b56b385475661
134506654b90740
141b357dd76534d
15bc40674e5501
hex5cf86a125c69

102222001233001 has 8 divisors (see below), whose sum is σ = 110085331908104. Its totient is φ = 94358684816640.

The previous prime is 102222001232993. The next prime is 102222001233049. The reversal of 102222001233001 is 100332100222201.

It can be written as a sum of positive squares in 4 ways, for example, as 3772047614976 + 98449953618025 = 1942176^2 + 9922195^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102222001233001 - 23 = 102222001232993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102222001233001.

It is not an unprimeable number, because it can be changed into a prime (102222001233601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14847121 + ... + 20612641.

It is an arithmetic number, because the mean of its divisors is an integer number (13760666488513).

Almost surely, 2102222001233001 is an apocalyptic number.

It is an amenable number.

102222001233001 is a deficient number, since it is larger than the sum of its proper divisors (7863330675103).

102222001233001 is a wasteful number, since it uses less digits than its factorization.

102222001233001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7129371.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102222001233001 its reverse (100332100222201), we get a palindrome (202554101455202).

The spelling of 102222001233001 in words is "one hundred two trillion, two hundred twenty-two billion, one million, two hundred thirty-three thousand, one".

Divisors: 1 13 1363837 5765521 17729881 74951773 7863230864077 102222001233001