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10321012320 = 253567320927
BaseRepresentation
bin10011001110010111…
…00010011001100000
3222122021210202020120
421213023202121200
5132114134343240
64424051040240
7513523104633
oct114713423140
928567722216
1010321012320
114416a40353
1220005a0080
13c863643a8
146dca45c1a
1540616cad0
hex2672e2660

10321012320 has 96 divisors (see below), whose sum is σ = 32996533248. Its totient is φ = 2711182848.

The previous prime is 10321012319. The next prime is 10321012327. The reversal of 10321012320 is 2321012301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10321012320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321012327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128304 + ... + 192623.

It is an arithmetic number, because the mean of its divisors is an integer number (343713888).

Almost surely, 210321012320 is an apocalyptic number.

10321012320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10321012320 is an abundant number, since it is smaller than the sum of its proper divisors (22675520928).

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

10321012320 is a wasteful number, since it uses less digits than its factorization.

10321012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321012 (or 321004 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10321012320 its reverse (2321012301), we get a palindrome (12642024621).

The spelling of 10321012320 in words is "ten billion, three hundred twenty-one million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 335 402 480 536 670 804 1005 1072 1340 1608 2010 2144 2680 3216 4020 5360 6432 8040 10720 16080 32160 320927 641854 962781 1283708 1604635 1925562 2567416 3209270 3851124 4813905 5134832 6418540 7702248 9627810 10269664 12837080 15404496 19255620 21502109 25674160 30808992 38511240 43004218 51348320 64506327 77022480 86008436 107510545 129012654 154044960 172016872 215021090 258025308 322531635 344033744 430042180 516050616 645063270 688067488 860084360 1032101232 1290126540 1720168720 2064202464 2580253080 3440337440 5160506160 10321012320