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202022001221001 = 31324312772965663
BaseRepresentation
bin101101111011110011101001…
…100111101001110110001001
3222111022010002121122201220120
4231323303221213221312021
5202434412024303033001
61553355343125013453
760360415343155203
oct5573635147516611
9874263077581816
10202022001221001
115940905aa94105
121a7a9273554289
1388957929b1c00
1437c5cba491773
1518550c883c236
hexb7bce99e9d89

202022001221001 has 48 divisors (see below), whose sum is σ = 300809997582336. Its totient is φ = 120473896390848.

The previous prime is 202022001220981. The next prime is 202022001221023. The reversal of 202022001221001 is 100122100220202.

It is not a de Polignac number, because 202022001221001 - 239 = 201472245407113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202022001211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33714105 + ... + 39251558.

It is an arithmetic number, because the mean of its divisors is an integer number (6266874949632).

Almost surely, 2202022001221001 is an apocalyptic number.

It is an amenable number.

202022001221001 is a deficient number, since it is larger than the sum of its proper divisors (98787996361335).

202022001221001 is a wasteful number, since it uses less digits than its factorization.

202022001221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72965862 (or 72965849 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202022001221001 its reverse (100122100220202), we get a palindrome (302144101441203).

The spelling of 202022001221001 in words is "two hundred two trillion, twenty-two billion, one million, two hundred twenty-one thousand, one".

Divisors: 1 3 13 39 43 127 129 169 381 507 559 1651 1677 4953 5461 7267 16383 21463 21801 64389 70993 212979 922909 2768727 72965663 218896989 948553619 2845660857 3137523509 9266639201 9412570527 12331197047 27799917603 36993591141 40787805617 120466309613 122363416851 361398928839 398465485643 530241473021 1195396456929 1566062024969 1590724419063 4698186074907 5180051313359 15540153940077 67340667073667 202022001221001