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451020106000 = 2453225510053
BaseRepresentation
bin1101001000000101110…
…01001010100100010000
31121010011100220021222101
412210002321022210100
524342142121343000
6543110142050144
744404461434512
oct6440271124420
91533140807871
10451020106000
11164305101162
12734b1879954
13336b9837989
1417b88195bb2
15baeaae1e6a
hex6902e4a910

451020106000 has 40 divisors (see below), whose sum is σ = 1090566621144. Its totient is φ = 180408041600.

The previous prime is 451020105997. The next prime is 451020106027. The reversal of 451020106000 is 601020154.

It can be written as a sum of positive squares in 4 ways, for example, as 35129255184 + 415890850816 = 187428^2 + 644896^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112753027 + ... + 112757026.

Almost surely, 2451020106000 is an apocalyptic number.

451020106000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451020106000 is an abundant number, since it is smaller than the sum of its proper divisors (639546515144).

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

451020106000 is a wasteful number, since it uses less digits than its factorization.

451020106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225510076 (or 225510060 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 451020106000 its reverse (601020154), we get a palindrome (451621126154).

The spelling of 451020106000 in words is "four hundred fifty-one billion, twenty million, one hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 225510053 451020106 902040212 1127550265 1804080424 2255100530 3608160848 4510201060 5637751325 9020402120 11275502650 18040804240 22551005300 28188756625 45102010600 56377513250 90204021200 112755026500 225510053000 451020106000