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1089220229801 = 11229615088649
BaseRepresentation
bin11111101100110101001…
…01011011101010101001
310212010110122000200222122
433312122211123222221
5120321210334323201
62152214133401025
7141456615123044
oct17663245335251
93763418020878
101089220229801
1138aa32473100
12157121799175
137b93669bb22
143aa0b963c5b
151d4ee414e1b
hexfd9a95baa9

1089220229801 has 24 divisors (see below), whose sum is σ = 1258830237000. Its totient is φ = 940382150400.

The previous prime is 1089220229759. The next prime is 1089220229803.

1089220229801 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 156641808400 + 932578421401 = 395780^2 + 965701^2 .

It is not a de Polignac number, because 1089220229801 - 218 = 1089219967657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1089220229803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2330276 + ... + 2758373.

It is an arithmetic number, because the mean of its divisors is an integer number (52451259875).

Almost surely, 21089220229801 is an apocalyptic number.

1089220229801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1089220229801 is a deficient number, since it is larger than the sum of its proper divisors (169610007199).

1089220229801 is a wasteful number, since it uses less digits than its factorization.

1089220229801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088761 (or 5088750 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The spelling of 1089220229801 in words is "one trillion, eighty-nine billion, two hundred twenty million, two hundred twenty-nine thousand, eight hundred one".

Divisors: 1 11 29 61 121 319 671 1769 3509 7381 19459 214049 5088649 55975139 147570821 310407589 615726529 1623279031 3414483479 9001820081 17856069341 37559318269 99020020891 1089220229801