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122030002000 = 245361015001
BaseRepresentation
bin111000110100110001…
…1100000111101010000
3102122222110222101201201
41301221203200331100
53444404140031000
6132020530240544
711550005621404
oct1615143407520
9378873871651
10122030002000
1147830833725
121b797726154
13b67993759a
145c98bb1104
1532932e296a
hex1c698e0f50

122030002000 has 40 divisors (see below), whose sum is σ = 295068549672. Its totient is φ = 48812000000.

The previous prime is 122030001943. The next prime is 122030002001. The reversal of 122030002000 is 200030221.

It can be written as a sum of positive squares in 4 ways, for example, as 2585112336 + 119444889664 = 50844^2 + 345608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 (122030002001) 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 7 ways as a sum of consecutive naturals, for example, 30505501 + ... + 30509500.

Almost surely, 2122030002000 is an apocalyptic number.

122030002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122030002000 is an abundant number, since it is smaller than the sum of its proper divisors (173038547672).

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

122030002000 is an equidigital number, since it uses as much as digits as its factorization.

122030002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61015024 (or 61015008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 122030002000 its reverse (200030221), we get a palindrome (122230032221).

The spelling of 122030002000 in words is "one hundred twenty-two billion, thirty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 61015001 122030002 244060004 305075005 488120008 610150010 976240016 1220300020 1525375025 2440600040 3050750050 4881200080 6101500100 7626875125 12203000200 15253750250 24406000400 30507500500 61015001000 122030002000