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22123313001 = 341716066313
BaseRepresentation
bin10100100110101001…
…101111011101101001
32010002210220202010000
4110212221233131221
5330302032004001
614055135213213
71412144025546
oct244651573551
963083822100
1022123313001
119423040559
124355077209
132117568b6a
1410dc2bdbcd
1589738aa86
hex526a6f769

22123313001 has 20 divisors (see below), whose sum is σ = 34992431892. Its totient is φ = 13881293568.

The previous prime is 22123312997. The next prime is 22123313011. The reversal of 22123313001 is 10031332122.

22123313001 is a `hidden beast` number, since 22 + 12 + 331 + 300 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6561000000 + 15562313001 = 81000^2 + 124749^2 .

It is not a de Polignac number, because 22123313001 - 22 = 22123312997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22123313011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8031780 + ... + 8034533.

Almost surely, 222123313001 is an apocalyptic number.

It is an amenable number.

22123313001 is a deficient number, since it is larger than the sum of its proper divisors (12869118891).

22123313001 is a wasteful number, since it uses less digits than its factorization.

22123313001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16066342 (or 16066333 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22123313001 its reverse (10031332122), we get a palindrome (32154645123).

The spelling of 22123313001 in words is "twenty-two billion, one hundred twenty-three million, three hundred thirteen thousand, one".

Divisors: 1 3 9 17 27 51 81 153 459 1377 16066313 48198939 144596817 273127321 433790451 819381963 1301371353 2458145889 7374437667 22123313001