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22130110000 = 245410121911
BaseRepresentation
bin10100100111000011…
…101010111000110000
32010010021201001211201
4110213003222320300
5330310302010000
614055541020544
71412255555065
oct244703527060
963107631751
1022130110000
119426963209
1243573b4754
132118aa885b
1410dd16cc6c
15897c7e96a
hex5270eae30

22130110000 has 100 divisors (see below), whose sum is σ = 54112166064. Its totient is φ = 8764000000.

The previous prime is 22130109961. The next prime is 22130110033. The reversal of 22130110000 is 1103122.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×221301100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 999045 + ... + 1020955.

Almost surely, 222130110000 is an apocalyptic number.

22130110000 is a gapful number since it is divisible by the number (20) 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 22130110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27056083032).

22130110000 is an abundant number, since it is smaller than the sum of its proper divisors (31982056064).

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

22130110000 is a wasteful number, since it uses less digits than its factorization.

22130110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22040 (or 22019 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 22130110000 its reverse (1103122), we get a palindrome (22131213122).

The spelling of 22130110000 in words is "twenty-two billion, one hundred thirty million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20200 21911 25250 40400 43822 50500 63125 87644 101000 109555 126250 175288 202000 219110 252500 350576 438220 505000 547775 876440 1010000 1095550 1752880 2191100 2213011 2738875 4382200 4426022 5477750 8764400 8852044 10955500 11065055 13694375 17704088 21911000 22130110 27388750 35408176 43822000 44260220 54777500 55325275 88520440 109555000 110650550 177040880 219110000 221301100 276626375 442602200 553252750 885204400 1106505500 1383131875 2213011000 2766263750 4426022000 5532527500 11065055000 22130110000