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202220222001001 is a prime number
BaseRepresentation
bin101101111110101100010000…
…011111111010111101101001
3222112000001201222000200101221
4231332230100133322331221
5203001134003313013001
61554030404300142041
760410633421042661
oct5576542037727551
9875001658020357
10202220222001001
11594851294a3a56
121a81b773237921
1388ab392508489
1437d17221491a1
15185a32a9b01a1
hexb7eb107faf69

202220222001001 has 2 divisors, whose sum is σ = 202220222001002. Its totient is φ = 202220222001000.

The previous prime is 202220222000987. The next prime is 202220222001023. The reversal of 202220222001001 is 100100222022202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146902253864976 + 55317968136025 = 12120324^2 + 7437605^2 .

It is a cyclic number.

It is not a de Polignac number, because 202220222001001 - 217 = 202220221869929 is a prime.

It is a super-3 number, since 3×2022202220010013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (202220222001041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101110111000500 + 101110111000501.

It is an arithmetic number, because the mean of its divisors is an integer number (101110111000501).

Almost surely, 2202220222001001 is an apocalyptic number.

It is an amenable number.

202220222001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

202220222001001 is an equidigital number, since it uses as much as digits as its factorization.

202220222001001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202220222001001 its reverse (100100222022202), we get a palindrome (302320444023203).

The spelling of 202220222001001 in words is "two hundred two trillion, two hundred twenty billion, two hundred twenty-two million, one thousand, one".