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101233000220 = 225111513047351
BaseRepresentation
bin101111001000111110…
…1001111111100011100
3100200022002202020120112
41132101331033330130
53124311122001340
6114301130305152
710212435206222
oct1362175177434
9320262666515
10101233000220
1139a29431450
12177528881b8
1397140b9681
144c84b00b12
1529775e3065
hex1791f4ff1c

101233000220 has 48 divisors (see below), whose sum is σ = 233451542016. Its totient is φ = 36568200000.

The previous prime is 101233000163. The next prime is 101233000229. The reversal of 101233000220 is 22000332101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101233000195 and 101233000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101233000229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1490456 + ... + 1556895.

It is an arithmetic number, because the mean of its divisors is an integer number (4863573792).

Almost surely, 2101233000220 is an apocalyptic number.

101233000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101233000220 is an abundant number, since it is smaller than the sum of its proper divisors (132218541796).

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

101233000220 is a wasteful number, since it uses less digits than its factorization.

101233000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047522 (or 3047520 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 101233000220 its reverse (22000332101), we get a palindrome (123233332321).

The spelling of 101233000220 in words is "one hundred one billion, two hundred thirty-three million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 6644 8305 16610 33220 3047351 6094702 12189404 15236755 30473510 33520861 60947020 67041722 134083444 167604305 335208610 460150001 670417220 920300002 1840600004 2300750005 4601500010 5061650011 9203000020 10123300022 20246600044 25308250055 50616500110 101233000220