Search a number
-
+
1022160612201 = 35910122112683
BaseRepresentation
bin11101101111111011000…
…01010010101101101001
310121201101010112011110220
432313331201102231221
5113221341104042301
62101324001200253
7133564043563611
oct16677541225551
93551333464426
101022160612201
11364550021933
12146127630089
137550a493b21
1437689675a41
151b8c701d936
hexedfd852b69

1022160612201 has 48 divisors (see below), whose sum is σ = 1406997461760. Its totient is φ = 659868552000.

The previous prime is 1022160612103. The next prime is 1022160612223.

1022160612201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1022160612201 - 27 = 1022160612073 is a prime.

It is a super-2 number, since 2×10221606122012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022160612001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380975406 + ... + 380978088.

It is an arithmetic number, because the mean of its divisors is an integer number (29312447120).

Almost surely, 21022160612201 is an apocalyptic number.

It is an amenable number.

1022160612201 is a deficient number, since it is larger than the sum of its proper divisors (384836849559).

1022160612201 is a wasteful number, since it uses less digits than its factorization.

1022160612201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1022160 and 612201, that added together give a palindrome (1634361).

The spelling of 1022160612201 in words is "one trillion, twenty-two billion, one hundred sixty million, six hundred twelve thousand, two hundred one".

Divisors: 1 3 59 101 177 211 303 633 2683 5959 8049 10201 12449 17877 21311 30603 37347 63933 158297 270983 474891 566113 601859 812949 1257349 1698339 1805577 2152411 3772047 6457233 15987997 27369283 33400667 47963991 57177413 82107849 100202001 126992249 171532239 380976747 1614787697 3373467367 4844363091 5774918713 10120402101 17324756139 340720204067 1022160612201