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1002122121020 = 225172947418003
BaseRepresentation
bin11101001010100110010…
…00100000111100111100
310112210122121120100020212
432211103020200330330
5112404321230333040
62044211334531552
7132254343324536
oct16452310407474
93483577510225
101002122121020
11356aa78a2919
12142274806bb8
1373665b30357
1436708210856
151b102becd65
hexe953220f3c

1002122121020 has 24 divisors (see below), whose sum is σ = 2228248011024. Its totient is φ = 377269504256.

The previous prime is 1002122121017. The next prime is 1002122121053. The reversal of 1002122121020 is 201212212001.

It is a junction number, because it is equal to n+sod(n) for n = 1002122120986 and 1002122121004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1473708662 + ... + 1473709341.

It is an arithmetic number, because the mean of its divisors is an integer number (92843667126).

Almost surely, 21002122121020 is an apocalyptic number.

1002122121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002122121020 is an abundant number, since it is smaller than the sum of its proper divisors (1226125890004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002122121020 is a wasteful number, since it uses less digits than its factorization.

1002122121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947418029 (or 2947418027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002122121020 its reverse (201212212001), we get a palindrome (1203334333021).

The spelling of 1002122121020 in words is "one trillion, two billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2947418003 5894836006 11789672012 14737090015 29474180030 50106106051 58948360060 100212212102 200424424204 250530530255 501061060510 1002122121020