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21122001029 is a prime number
BaseRepresentation
bin10011101010111110…
…000010100010000101
32000112000202211022102
4103222332002202011
5321224213013104
613411525441445
71345265021633
oct235276024205
960460684272
1021122001029
118a59900aa8
124115870285
131cb7c8c77c
141045310353
158394eaa1e
hex4eaf82885

21122001029 has 2 divisors, whose sum is σ = 21122001030. Its totient is φ = 21122001028.

The previous prime is 21122001007. The next prime is 21122001031. The reversal of 21122001029 is 92010022112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14762736004 + 6359265025 = 121502^2 + 79745^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122001029 - 28 = 21122000773 is a prime.

It is a super-2 number, since 2×211220010292 (a number of 21 digits) contains 22 as substring.

Together with 21122001031, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21122001029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122001059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561000514 + 10561000515.

It is an arithmetic number, because the mean of its divisors is an integer number (10561000515).

Almost surely, 221122001029 is an apocalyptic number.

It is an amenable number.

21122001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122001029 is an equidigital number, since it uses as much as digits as its factorization.

21122001029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 21122001029 in words is "twenty-one billion, one hundred twenty-two million, one thousand, twenty-nine".