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34222055355341 = 7101295316391671
BaseRepresentation
bin1111100011111111100010…
…11100111111001111001101
311111011121002212201021122022
413301333301130333033031
513441143232132332331
6200441221210055525
710131314301646010
oct761776134771715
9144147085637568
1034222055355341
11a9a4546098817
123a0856911a5a5
1316131839ba969
148644dba3b377
153e52da61d67b
hex1f1ff173f3cd

34222055355341 has 16 divisors (see below), whose sum is σ = 39511535255808. Its totient is φ = 29032925904000.

The previous prime is 34222055355317. The next prime is 34222055355347. The reversal of 34222055355341 is 14355355022243.

It is a cyclic number.

It is not a de Polignac number, because 34222055355341 - 214 = 34222055338957 is a prime.

It is a super-2 number, since 2×342220553553412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34222055355292 and 34222055355301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34222055355347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6108065 + ... + 10283606.

It is an arithmetic number, because the mean of its divisors is an integer number (2469470953488).

Almost surely, 234222055355341 is an apocalyptic number.

It is an amenable number.

34222055355341 is a deficient number, since it is larger than the sum of its proper divisors (5289479900467).

34222055355341 is a wasteful number, since it uses less digits than its factorization.

34222055355341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394732.

The product of its (nonzero) digits is 2160000, while the sum is 44.

The spelling of 34222055355341 in words is "thirty-four trillion, two hundred twenty-two billion, fifty-five million, three hundred fifty-five thousand, three hundred forty-one".

Divisors: 1 7 101 707 2953 20671 298253 2087771 16391671 114741697 1655558771 11588911397 48404604463 338832231241 4888865050763 34222055355341