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22313311020001 is a prime number
BaseRepresentation
bin1010001001011001110001…
…11110100010001111100001
32221000010120000021021001201
411010230320332202033201
510411040130110120001
6115242332113401201
74462040435164651
oct504547076421741
987003500237051
1022313311020001
1171230274004a1
122604576869201
13c5b1a03043b1
14571d81a1a361
1528a648e0d501
hex144b38fa23e1

22313311020001 has 2 divisors, whose sum is σ = 22313311020002. Its totient is φ = 22313311020000.

The previous prime is 22313311019983. The next prime is 22313311020083. The reversal of 22313311020001 is 10002011331322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15621781953600 + 6691529066401 = 3952440^2 + 2586799^2 .

It is a cyclic number.

It is not a de Polignac number, because 22313311020001 - 241 = 20114287764449 is a prime.

It is a super-3 number, since 3×223133110200013 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22313311020901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11156655510000 + 11156655510001.

It is an arithmetic number, because the mean of its divisors is an integer number (11156655510001).

Almost surely, 222313311020001 is an apocalyptic number.

It is an amenable number.

22313311020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22313311020001 is an equidigital number, since it uses as much as digits as its factorization.

22313311020001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 22313311020001 its reverse (10002011331322), we get a palindrome (32315322351323).

The spelling of 22313311020001 in words is "twenty-two trillion, three hundred thirteen billion, three hundred eleven million, twenty thousand, one".