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10310443020 = 2234541155231
BaseRepresentation
bin10011001101000110…
…01110000000001100
3222121112220202220000
421212203032000030
5132103433134040
64423032324300
7513334214433
oct114643160014
928545822800
1010310443020
114410a81499
121bb8b43690
13c84103677
146db49411a
15405281130
hex2668ce00c

10310443020 has 120 divisors (see below), whose sum is σ = 33133339008. Its totient is φ = 2682374400.

The previous prime is 10310443009. The next prime is 10310443079. The reversal of 10310443020 is 2034401301.

10310443020 is a `hidden beast` number, since 10 + 310 + 44 + 302 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10310442984 and 10310443002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11196 + ... + 144035.

Almost surely, 210310443020 is an apocalyptic number.

10310443020 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 10310443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16566669504).

10310443020 is an abundant number, since it is smaller than the sum of its proper divisors (22822895988).

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

10310443020 is a wasteful number, since it uses less digits than its factorization.

10310443020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155293 (or 155282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10310443020 its reverse (2034401301), we get a palindrome (12344844321).

The spelling of 10310443020 in words is "ten billion, three hundred ten million, four hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1230 1476 1620 1845 2214 2460 3321 3690 4428 5535 6642 7380 11070 13284 16605 22140 33210 66420 155231 310462 465693 620924 776155 931386 1397079 1552310 1862772 2328465 2794158 3104620 4191237 4656930 5588316 6364471 6985395 8382474 9313860 12573711 12728942 13970790 16764948 19093413 20956185 25147422 25457884 27941580 31822355 38186826 41912370 50294844 57280239 62868555 63644710 76373652 83824740 95467065 114560478 125737110 127289420 171840717 190934130 229120956 251474220 286401195 343681434 381868260 515522151 572802390 687362868 859203585 1031044302 1145604780 1718407170 2062088604 2577610755 3436814340 5155221510 10310443020