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22402211512129 is a prime number
BaseRepresentation
bin1010001011111111010111…
…10110111111111101000001
32221022122000122020011221021
411011333223312333331001
510414014212121342004
6115351233415425441
74501335453665131
oct505775366777501
987278018204837
1022402211512129
1171577a7412a99
122619847385281
13c6669a3b89a7
145763b68a6ac1
1528caed99ed54
hex145febdbff41

22402211512129 has 2 divisors, whose sum is σ = 22402211512130. Its totient is φ = 22402211512128.

The previous prime is 22402211512103. The next prime is 22402211512133. The reversal of 22402211512129 is 92121511220422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22374271721025 + 27939791104 = 4730145^2 + 167152^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22402211512129 is a prime.

It is a super-2 number, since 2×224022115121292 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22402211512094 and 22402211512103.

It is not a weakly prime, because it can be changed into another prime (22402211512189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11201105756064 + 11201105756065.

It is an arithmetic number, because the mean of its divisors is an integer number (11201105756065).

Almost surely, 222402211512129 is an apocalyptic number.

It is an amenable number.

22402211512129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22402211512129 is an equidigital number, since it uses as much as digits as its factorization.

22402211512129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 22402211512129 in words is "twenty-two trillion, four hundred two billion, two hundred eleven million, five hundred twelve thousand, one hundred twenty-nine".