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1002012210121 = 13175385547017
BaseRepresentation
bin11101001010011001001…
…01001111001111001001
310112210100221202021211211
432211030211033033021
5112404110111210441
62044152411053121
7132251540153566
oct16451445171711
93483327667754
101002012210121
11356a5085216a
12142243a411a1
1373649129710
14366d779d86d
151b0e823ba81
hexe94c94f3c9

1002012210121 has 16 divisors (see below), whose sum is σ = 1164123820944. Its totient is φ = 854101407744.

The previous prime is 1002012210113. The next prime is 1002012210167. The reversal of 1002012210121 is 1210122102001.

It can be written as a sum of positive squares in 8 ways, for example, as 171179960121 + 830832250000 = 413739^2 + 911500^2 .

It is not a de Polignac number, because 1002012210121 - 23 = 1002012210113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002012210721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42761796 + ... + 42785221.

It is an arithmetic number, because the mean of its divisors is an integer number (72757738809).

Almost surely, 21002012210121 is an apocalyptic number.

It is an amenable number.

1002012210121 is a deficient number, since it is larger than the sum of its proper divisors (162111610823).

1002012210121 is a wasteful number, since it uses less digits than its factorization.

1002012210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85547100.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1002012210121 its reverse (1210122102001), we get a palindrome (2212134312122).

The spelling of 1002012210121 in words is "one trillion, two billion, twelve million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 13 17 53 221 689 901 11713 85547017 1112111221 1454299289 4533991901 18905890757 58941894713 77077862317 1002012210121