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1001122122220 = 22511101145131051
BaseRepresentation
bin11101001000101111000…
…01110100100111101100
310112201001220220010210021
432210113201310213230
5112400244230402340
62043524213251524
7132220511430253
oct16442741644754
93481056803707
101001122122220
1135663437aa30
12142035933ba4
13735368c389c
14366514a379a
151b09501be4a
hexe9178749ec

1001122122220 has 96 divisors (see below), whose sum is σ = 2317858405632. Its totient is φ = 360180000000.

The previous prime is 1001122122211. The next prime is 1001122122241. The reversal of 1001122122220 is 222212211001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001122122194 and 1001122122203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32225695 + ... + 32256745.

It is an arithmetic number, because the mean of its divisors is an integer number (24144358392).

Almost surely, 21001122122220 is an apocalyptic number.

1001122122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001122122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158929202816).

1001122122220 is an abundant number, since it is smaller than the sum of its proper divisors (1316736283412).

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

1001122122220 is a wasteful number, since it uses less digits than its factorization.

1001122122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32623 (or 32621 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1001122122220 its reverse (222212211001), we get a palindrome (1223334333221).

The spelling of 1001122122220 in words is "one trillion, one billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 1451 2020 2222 2902 4444 5555 5804 7255 11110 14510 15961 22220 29020 31051 31922 62102 63844 79805 124204 146551 155255 159610 293102 310510 319220 341561 586204 621020 683122 732755 1366244 1465510 1612061 1707805 2931020 3136151 3224122 3415610 6272302 6448244 6831220 8060305 12544604 15680755 16120610 31361510 32241220 34497661 45055001 62723020 68995322 90110002 137990644 172488305 180220004 225275005 344976610 450550010 495605011 689953220 901100020 991210022 1982420044 2478025055 4550555101 4956050110 9101110202 9912100220 18202220404 22752775505 45505551010 50056106111 91011102020 100112212222 200224424444 250280530555 500561061110 1001122122220