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10312402500 = 2232546772
BaseRepresentation
bin10011001101010101…
…01100011001000100
3222121200121022210100
421212222230121010
5132104433340000
64423142324100
7513356655261
oct114652543104
928550538710
1010312402500
11441209a6a4
121bb9729630
13c8463b51a
146db844268
1540551ba00
hex266aac644

10312402500 has 135 divisors (see below), whose sum is σ = 32622086497. Its totient is φ = 2745912000.

The previous prime is 10312402489. The next prime is 10312402501. The reversal of 10312402500 is 520421301.

The square root of 10312402500 is 101550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1284362244 + 9028040256 = 35838^2 + 95016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10312402501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15232162 + ... + 15232838.

Almost surely, 210312402500 is an apocalyptic number.

10312402500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10312402500 is the 101550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10312402500

10312402500 is an abundant number, since it is smaller than the sum of its proper divisors (22309683997).

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

10312402500 is an frugal number, since it uses more digits than its factorization.

10312402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10312402500 its reverse (520421301), we get a palindrome (10832823801).

The spelling of 10312402500 in words is "ten billion, three hundred twelve million, four hundred two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 677 750 900 1125 1250 1354 1500 1875 2031 2250 2500 2708 3385 3750 4062 4500 5625 6093 6770 7500 8124 10155 11250 12186 13540 16925 20310 22500 24372 30465 33850 40620 50775 60930 67700 84625 101550 121860 152325 169250 203100 253875 304650 338500 423125 458329 507750 609300 761625 846250 916658 1015500 1269375 1374987 1523250 1692500 1833316 2291645 2538750 2749974 3046500 3808125 4124961 4583290 5077500 5499948 6874935 7616250 8249922 9166580 11458225 13749870 15232500 16499844 20624805 22916450 27499740 34374675 41249610 45832900 57291125 68749350 82499220 103124025 114582250 137498700 171873375 206248050 229164500 286455625 343746750 412496100 515620125 572911250 687493500 859366875 1031240250 1145822500 1718733750 2062480500 2578100625 3437467500 5156201250 10312402500