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10023012444400 = 245297258325063
BaseRepresentation
bin1001000111011010101000…
…0110001010100011110000
31022111012010222012112220221
42101312222012022203300
52303204112141210100
633152301445342424
72053065410034034
oct221665206124360
938435128175827
1010023012444400
11321481025310a
12115a63a707a14
13579220983a27
1426918b53a1c4
15125ac53b001a
hex91daa18a8f0

10023012444400 has 60 divisors (see below), whose sum is σ = 24328537877392. Its totient is φ = 3967872952320.

The previous prime is 10023012444377. The next prime is 10023012444409. The reversal of 10023012444400 is 444421032001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023012444409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129123732 + ... + 129201331.

Almost surely, 210023012444400 is an apocalyptic number.

10023012444400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023012444400 is an abundant number, since it is smaller than the sum of its proper divisors (14305525432992).

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

10023012444400 is a wasteful number, since it uses less digits than its factorization.

10023012444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258325178 (or 258325167 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10023012444400 its reverse (444421032001), we get a palindrome (10467433476401).

The spelling of 10023012444400 in words is "ten trillion, twenty-three billion, twelve million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 194 200 388 400 485 776 970 1552 1940 2425 3880 4850 7760 9700 19400 38800 258325063 516650126 1033300252 1291625315 2066600504 2583250630 4133201008 5166501260 6458126575 10333002520 12916253150 20666005040 25057531111 25832506300 50115062222 51665012600 100230124444 103330025200 125287655555 200460248888 250575311110 400920497776 501150622220 626438277775 1002301244440 1252876555550 2004602488880 2505753111100 5011506222200 10023012444400