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1020479082700 = 2252711307431693
BaseRepresentation
bin11101101100110010100…
…10110001000011001100
310121120000221102121122111
432312121102301003030
5113204420121121300
62100445052153404
7133504265040340
oct16663122610314
93546027377574
101020479082700
11363867924930
12145938468864
13752cccb375c
143756a1db620
151b8295b79ba
hexed994b10cc

1020479082700 has 144 divisors (see below), whose sum is σ = 2769859217664. Its totient is φ = 317034604800.

The previous prime is 1020479082659. The next prime is 1020479082703. The reversal of 1020479082700 is 72809740201.

It is not an unprimeable number, because it can be changed into a prime (1020479082703) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2148054 + ... + 2579746.

It is an arithmetic number, because the mean of its divisors is an integer number (19235133456).

Almost surely, 21020479082700 is an apocalyptic number.

1020479082700 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 1020479082700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384929608832).

1020479082700 is an abundant number, since it is smaller than the sum of its proper divisors (1749380134964).

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

1020479082700 is a wasteful number, since it uses less digits than its factorization.

1020479082700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432032 (or 432025 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 1020479082700 in words is "one trillion, twenty billion, four hundred seventy-nine million, eighty-two thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 307 308 350 385 550 614 700 770 1100 1228 1535 1540 1925 2149 3070 3377 3850 4298 6140 6754 7675 7700 8596 10745 13508 15350 16885 21490 23639 30700 33770 42980 47278 53725 67540 84425 94556 107450 118195 168850 214900 236390 337700 431693 472780 590975 863386 1181950 1726772 2158465 2363900 3021851 4316930 4748623 6043702 8633860 9497246 10792325 12087404 15109255 18994492 21584650 23743115 30218510 33240361 43169300 47486230 60437020 66480722 75546275 94972460 118715575 132529751 132961444 151092550 166201805 237431150 265059502 302185100 332403610 474862300 530119004 662648755 664807220 831009025 927708257 1325297510 1457827261 1662018050 1855416514 2650595020 2915654522 3313243775 3324036100 3710833028 4638541285 5831309044 6626487550 7289136305 9277082570 10204790827 13252975100 14578272610 18554165140 20409581654 23192706425 29156545220 36445681525 40819163308 46385412850 51023954135 72891363050 92770825700 102047908270 145782726100 204095816540 255119770675 510239541350 1020479082700