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501010010000 = 245450101001
BaseRepresentation
bin1110100101001101000…
…01100000111110010000
31202220012020201112111022
413102212201200332100
531202032030310000
61022054423135012
751124331551043
oct7224641407620
91686166645438
10501010010000
111835280a8a05
12811232a4468
1338325481226
141a36b418c5a
15d074640585
hex74a6860f90

501010010000 has 50 divisors (see below), whose sum is σ = 1212995359422. Its totient is φ = 200404000000.

The previous prime is 501010009987. The next prime is 501010010029. The reversal of 501010010000 is 10010105.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 66022274704 + 434987735296 = 256948^2 + 659536^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×5010100100002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 501010010000.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 25040501 + ... + 25060500.

Almost surely, 2501010010000 is an apocalyptic number.

501010010000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

501010010000 is an abundant number, since it is smaller than the sum of its proper divisors (711985349422).

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

501010010000 is an equidigital number, since it uses as much as digits as its factorization.

501010010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50101029 (or 50101008 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

Adding to 501010010000 its reverse (10010105), we get a palindrome (501020020105).

The spelling of 501010010000 in words is "five hundred one billion, ten million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 50101001 100202002 200404004 250505005 400808008 501010010 801616016 1002020020 1252525025 2004040040 2505050050 4008080080 5010100100 6262625125 10020200200 12525250250 20040400400 25050500500 31313125625 50101001000 62626251250 100202002000 125252502500 250505005000 501010010000