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2156124300 = 22352116110711
BaseRepresentation
bin1000000010000011…
…1101100010001100
312120021010110111120
42000200331202030
513403431434200
6553541120540
7104300516451
oct20040754214
95507113446
102156124300
11a07092110
125020b9150
1328490b9c5
141664d9828
15c94519a0
hex8083d88c

2156124300 has 144 divisors (see below), whose sum is σ = 6917723904. Its totient is φ = 514080000.

The previous prime is 2156124293. The next prime is 2156124329. The reversal of 2156124300 is 34216512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195945 + ... + 206655.

Almost surely, 22156124300 is an apocalyptic number.

2156124300 is a gapful number since it is divisible by the number (20) 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 2156124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458861952).

2156124300 is an abundant number, since it is smaller than the sum of its proper divisors (4761599604).

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

2156124300 is a wasteful number, since it uses less digits than its factorization.

2156124300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800 (or 10793 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2156124300 is about 46434.0855406887. The cubic root of 2156124300 is about 1291.8872083128.

It can be divided in two parts, 215612 and 4300, that added together give a palindrome (219912).

The spelling of 2156124300 in words is "two billion, one hundred fifty-six million, one hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 61 66 75 100 110 122 132 150 165 183 220 244 275 300 305 330 366 550 610 660 671 732 825 915 1100 1220 1342 1525 1650 1830 2013 2684 3050 3300 3355 3660 4026 4575 6100 6710 8052 9150 10065 10711 13420 16775 18300 20130 21422 32133 33550 40260 42844 50325 53555 64266 67100 100650 107110 117821 128532 160665 201300 214220 235642 267775 321330 353463 471284 535550 589105 642660 653371 706926 803325 1071100 1178210 1306742 1413852 1606650 1767315 1960113 2356420 2613484 2945525 3213300 3266855 3534630 3920226 5891050 6533710 7069260 7187081 7840452 8836575 9800565 11782100 13067420 14374162 16334275 17673150 19601130 21561243 28748324 32668550 35346300 35935405 39202260 43122486 49002825 65337100 71870810 86244972 98005650 107806215 143741620 179677025 196011300 215612430 359354050 431224860 539031075 718708100 1078062150 2156124300