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221110100020 = 22511055505001
BaseRepresentation
bin1100110111101100110…
…0000110000000110100
3210010201112122212200201
43031323030012000310
512110313141200040
6245324312450244
721655212561055
oct3157314060064
9703645585621
10221110100020
1185854983857
1236a293a9984
1317b099a2a14
14a9b79b472c
155b418bda9a
hex337b306034

221110100020 has 12 divisors (see below), whose sum is σ = 464331210084. Its totient is φ = 88444040000.

The previous prime is 221110100017. The next prime is 221110100023. The reversal of 221110100020 is 20001011122.

It is an interprime number because it is at equal distance from previous prime (221110100017) and next prime (221110100023).

It can be written as a sum of positive squares in 2 ways, for example, as 103760005924 + 117350094096 = 322118^2 + 342564^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221110100023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5527752481 + ... + 5527752520.

It is an arithmetic number, because the mean of its divisors is an integer number (38694267507).

Almost surely, 2221110100020 is an apocalyptic number.

221110100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221110100020 is an abundant number, since it is smaller than the sum of its proper divisors (243221110064).

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

221110100020 is a wasteful number, since it uses less digits than its factorization.

221110100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11055505010 (or 11055505008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221110100020 its reverse (20001011122), we get a palindrome (241111111142).

The spelling of 221110100020 in words is "two hundred twenty-one billion, one hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 11055505001 22111010002 44222020004 55277525005 110555050010 221110100020