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2002022000121 = 3111341229497041
BaseRepresentation
bin11101001000100001110…
…011110110010111111001
321002101120100121002200110
4131020201303312113321
5230300120113000441
64131414411254533
7264432654136113
oct35104163662771
97071510532613
102002022000121
11702064254470
1228400914a449
13116a36442350
146cc812343b3
1537125788b16
hex1d221cf65f9

2002022000121 has 64 divisors (see below), whose sum is σ = 3226558083840. Its totient is φ = 1087921152000.

The previous prime is 2002022000093. The next prime is 2002022000131. The reversal of 2002022000121 is 1210002202002.

It is not a de Polignac number, because 2002022000121 - 210 = 2002021999097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002022000097 and 2002022000106.

It is not an unprimeable number, because it can be changed into a prime (2002022000131) 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 63 ways as a sum of consecutive naturals, for example, 3779361 + ... + 4276401.

It is an arithmetic number, because the mean of its divisors is an integer number (50414970060).

Almost surely, 22002022000121 is an apocalyptic number.

It is an amenable number.

2002022000121 is a deficient number, since it is larger than the sum of its proper divisors (1224536083719).

2002022000121 is a wasteful number, since it uses less digits than its factorization.

2002022000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497338.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002022000121 its reverse (1210002202002), we get a palindrome (3212024202123).

The spelling of 2002022000121 in words is "two trillion, two billion, twenty-two million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 11 13 33 39 41 123 143 229 429 451 533 687 1353 1599 2519 2977 5863 7557 8931 9389 17589 28167 32747 98241 103279 122057 309837 366171 497041 1342627 1491123 4027881 5467451 6461533 16402353 19384599 20378681 61136043 71076863 113822389 213230589 224165491 264922853 341467167 672496473 794768559 1252046279 1479691057 2914151383 3756138837 4439073171 4666717949 8742454149 14000153847 16276601627 48829804881 51333897439 60667333337 154001692317 182002000011 667340666707 2002022000121