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10030104400 = 2452127347569
BaseRepresentation
bin10010101011101011…
…10011111101010000
3221220000102002121011
421111311303331100
5131020201320100
64335135540304
7503361323611
oct112565637520
927800362534
1010030104400
114287806988
121b3b08a694
13c3accab24
146b215bc08
153da857bba
hex255d73f50

10030104400 has 120 divisors (see below), whose sum is σ = 24399866880. Its totient is φ = 3962004480.

The previous prime is 10030104391. The next prime is 10030104433. The reversal of 10030104400 is 440103001.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17627316 + ... + 17627884.

It is an arithmetic number, because the mean of its divisors is an integer number (203332224).

Almost surely, 210030104400 is an apocalyptic number.

10030104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12199933440).

10030104400 is an abundant number, since it is smaller than the sum of its proper divisors (14369762480).

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

10030104400 is a wasteful number, since it uses less digits than its factorization.

10030104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10030104400 its reverse (440103001), we get a palindrome (10470207401).

The spelling of 10030104400 in words is "ten billion, thirty million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 127 200 254 347 400 508 569 635 694 1016 1138 1270 1388 1735 2032 2276 2540 2776 2845 3175 3470 4552 5080 5552 5690 6350 6940 8675 9104 10160 11380 12700 13880 14225 17350 22760 25400 27760 28450 34700 44069 45520 50800 56900 69400 72263 88138 113800 138800 144526 176276 197443 220345 227600 289052 352552 361315 394886 440690 578104 705104 722630 789772 881380 987215 1101725 1156208 1445260 1579544 1762760 1806575 1974430 2203450 2890520 3159088 3525520 3613150 3948860 4406900 4936075 5781040 7226300 7897720 8813800 9872150 14452600 15795440 17627600 19744300 25075261 28905200 39488600 50150522 78977200 100301044 125376305 200602088 250752610 401204176 501505220 626881525 1003010440 1253763050 2006020880 2507526100 5015052200 10030104400