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2200122132032 = 261118251171233
BaseRepresentation
bin100000000001000001011…
…111111000011001000000
321210022220021221111010002
4200001001133320121000
5242021322231211112
64402415552455132
7314645035363106
oct40010137703100
97708807844102
102200122132032
1177908064a650
122b649454a4a8
1312c616c75a06
14786b4c83c76
153c36c0291c2
hex200417f8640

2200122132032 has 56 divisors (see below), whose sum is σ = 4763053163232. Its totient is φ = 999994880000.

The previous prime is 2200122132017. The next prime is 2200122132037. The reversal of 2200122132032 is 2302312210022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2200122131995 and 2200122132013.

It is not an unprimeable number, because it can be changed into a prime (2200122132037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12763088 + ... + 12934320.

It is an arithmetic number, because the mean of its divisors is an integer number (85054520772).

Almost surely, 22200122132032 is an apocalyptic number.

2200122132032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2200122132032 is an abundant number, since it is smaller than the sum of its proper divisors (2562931031200).

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

2200122132032 is a wasteful number, since it uses less digits than its factorization.

2200122132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189507 (or 189497 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2200122132032 its reverse (2302312210022), we get a palindrome (4502434342054).

The spelling of 2200122132032 in words is "two trillion, two hundred billion, one hundred twenty-two million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 18251 36502 73004 146008 171233 200761 292016 342466 401522 584032 684932 803044 1168064 1369864 1606088 1883563 2739728 3212176 3767126 5479456 6424352 7534252 10958912 12848704 15068504 30137008 60274016 120548032 3125173483 6250346966 12500693932 25001387864 34376908313 50002775728 68753816626 100005551456 137507633252 200011102912 275015266504 550030533008 1100061066016 2200122132032