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114020220100 = 22521140202201
BaseRepresentation
bin110101000110000100…
…0100111110011000100
3101220022021011022120211
41222030020213303010
53332003134020400
6124214041005204
711144345610523
oct1521410476304
9356267138524
10114020220100
11443a0494a66
121a121183804
13a9a137ac77
1457390bc4ba
152e75013dba
hex1a8c227cc4

114020220100 has 18 divisors (see below), whose sum is σ = 247423877834. Its totient is φ = 45608088000.

The previous prime is 114020220091. The next prime is 114020220109. The reversal of 114020220100 is 1022020411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114020220091) and next prime (114020220109).

It can be written as a sum of positive squares in 3 ways, for example, as 34252385476 + 79767834624 = 185074^2 + 282432^2 .

It is a super-2 number, since 2×1140202201002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114020220109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 570101001 + ... + 570101200.

Almost surely, 2114020220100 is an apocalyptic number.

114020220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114020220100 is an abundant number, since it is smaller than the sum of its proper divisors (133403657734).

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

114020220100 is a wasteful number, since it uses less digits than its factorization.

114020220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140202215 (or 1140202208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 114020220100 its reverse (1022020411), we get a palindrome (115042240511).

The spelling of 114020220100 in words is "one hundred fourteen billion, twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1140202201 2280404402 4560808804 5701011005 11402022010 22804044020 28505055025 57010110050 114020220100