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110002010000120 = 23576435939102877
BaseRepresentation
bin11001000000101111010110…
…101110110000101011111000
3112102111002102012201100220222
4121000233112232300223320
5103404233104030000440
61025542120433035212
732112245232321320
oct3100572656605370
9472432365640828
10110002010000120
1132060654998017
12104071626b5b08
13494c1b683a444
141d241a8c80280
15cab610ded2b5
hex640bd6bb0af8

110002010000120 has 128 divisors (see below), whose sum is σ = 283352677977600. Its totient is φ = 37649613666816.

The previous prime is 110002010000107. The next prime is 110002010000161. The reversal of 110002010000120 is 21000010200011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 110002010000098 and 110002010000107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069206122 + ... + 1069308998.

It is an arithmetic number, because the mean of its divisors is an integer number (2213692796700).

Almost surely, 2110002010000120 is an apocalyptic number.

110002010000120 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 110002010000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141676338988800).

110002010000120 is an abundant number, since it is smaller than the sum of its proper divisors (173350667977480).

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

110002010000120 is a wasteful number, since it uses less digits than its factorization.

110002010000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109477 (or 109473 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110002010000120 its reverse (21000010200011), we get a palindrome (131002020200131).

The spelling of 110002010000120 in words is "one hundred ten trillion, two billion, ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 643 1286 2572 3215 4501 5144 5939 6430 9002 11878 12860 18004 22505 23756 25720 29695 36008 41573 45010 47512 59390 83146 90020 102877 118780 166292 180040 205754 207865 237560 332584 411508 415730 514385 720139 823016 831460 1028770 1440278 1662920 2057540 2880556 3600695 3818777 4115080 5761112 7201390 7637554 14402780 15275108 19093885 26731439 28805560 30550216 38187770 53462878 66149911 76375540 106925756 132299822 133657195 152751080 213851512 264599644 267314390 330749555 463049377 529199288 534628780 610986503 661499110 926098754 1069257560 1221973006 1322998220 1852197508 2315246885 2443946012 2645996440 3054932515 3704395016 4276905521 4630493770 4887892024 6109865030 8553811042 9260987540 12219730060 17107622084 18521975080 21384527605 24439460120 34215244168 42769055210 85538110420 171076220840 392864321429 785728642858 1571457285716 1964321607145 2750050250003 3142914571432 3928643214290 5500100500006 7857286428580 11000201000012 13750251250015 15714572857160 22000402000024 27500502500030 55001005000060 110002010000120