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1001122211022 = 231076919472383
BaseRepresentation
bin11101001000101111000…
…10001010010011001110
310112201001221001122121020
432210113202022103032
5112400244241223042
62043524215215010
7132220512250203
oct16442742122316
93481057048536
101001122211022
1135663443071a
12142035977466
137353692512b
14366514c7caa
151b0950383ec
hexe91788a4ce

1001122211022 has 64 divisors (see below), whose sum is σ = 2026869018624. Its totient is φ = 329623256160.

The previous prime is 1001122211003. The next prime is 1001122211027. The reversal of 1001122211022 is 2201122211001.

It is a junction number, because it is equal to n+sod(n) for n = 1001122210992 and 1001122211010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001122211027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420108843 + ... + 420111225.

It is an arithmetic number, because the mean of its divisors is an integer number (31669828416).

Almost surely, 21001122211022 is an apocalyptic number.

1001122211022 is an abundant number, since it is smaller than the sum of its proper divisors (1025746807602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001122211022 is a wasteful number, since it uses less digits than its factorization.

1001122211022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1001122211022 its reverse (2201122211001), we get a palindrome (3202244422023).

The spelling of 1001122211022 in words is "one trillion, one billion, one hundred twenty-two million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 107 214 321 642 691 947 1382 1894 2073 2383 2841 4146 4766 5682 7149 14298 73937 101329 147874 202658 221811 254981 303987 443622 509962 607974 654377 764943 1308754 1529886 1646653 1963131 2256701 3293306 3926262 4513402 4939959 6770103 9879918 13540206 70018339 140036678 176191871 210055017 241467007 352383742 420110034 482934014 528575613 724401021 1057151226 1448802042 1559380391 3118760782 4678141173 9356282346 166853701837 333707403674 500561105511 1001122211022